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@article{Box,
  author  = {Box, Josha},
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@article{DKSS,
  author  = {Derickx, Maarten and Kamienny, Sheldon and Stein, William and Stoll, Michael},
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@article{DN,
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@misc{DSt,
  author       = {Derickx, Maarten and Stoll, Michael},
  title        = {Prime order torsion on elliptic curves over number fields. {P}art {I}: {A}symptotics},
  year         = {2025},
  howpublished = {Preprint, \url{https://arxiv.org/abs/2505.14109v1}},
}

@misc{DSt9,
  author       = {Derickx, Maarten and Stoll, Michael},
  title        = {Personal communication},
  year         = {2026},
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@article{DvH,
  author  = {Derickx, Maarten and van Hoeij, Mark},
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@article{HS,
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  author  = {Kamienny, Sheldon and Mazur, Barry},
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@article{kato,
  author  = {Kato, Kazuya},
  title   = {{$p$}-adic {H}odge theory and values of zeta functions of modular forms},
  note    = {Cohomologies $p$-adiques et applications arithm\'etiques. III},
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@article{katz,
  author  = {Katz, Nicholas M.},
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  pages   = {481--502},
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  title   = {Torsion points on elliptic curves defined over quadratic fields},
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@article{khawaja,
  author  = {Khawaja, Maleeha},
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@article{mazur,
  author  = {Mazur, Barry},
  title   = {Modular curves and the {E}isenstein ideal},
  note    = {With an appendix by Mazur and M. Rapoport},
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@article{mazur78,
  author  = {Mazur, B.},
  title   = {Rational isogenies of prime degree},
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@article{MSD,
  author  = {Mazur, B. and Swinnerton-Dyer, P.},
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@misc{mdmagma,
  key          = {mdmagma},
  title        = {mdmagma},
  howpublished = {\url{https://github.com/nt-lib/mdmagma}},
  note         = {M. Derickx and A. V. Sutherland, \texttt{Magma} package, revision \texttt{d1c019c}},
}

@article{merel,
  author  = {Merel, Lo{\"\i}c},
  title   = {Bornes pour la torsion des courbes elliptiques sur les corps de nombres},
  journal = {Invent. Math.},
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  year    = {1996},
  number  = {1-3},
  pages   = {437--449},
  doi     = {10.1007/s002220050059},
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@misc{N5,
  author       = {Najman, Filip},
  title        = {Classification of torsion of elliptic curves over quintic fields},
  year         = {2026},
  howpublished = {Preprint, \url{https://arxiv.org/abs/2609.12846}},
}

@misc{N69,
  author       = {Najman, Filip},
  title        = {Torsion of elliptic curves over number fields of degree $6$, $7$, $8$ and $9$},
  year         = {2026},
  howpublished = {Preprint, \url{https://hexagonmath.org/2611.00073}},
}

@misc{N10,
  author       = {Najman, Filip},
  title        = {Torsion of elliptic curves over number fields of degree $10$},
  year         = {2026},
  howpublished = {Preprint},
}

@misc{Ndata,
  author       = {Najman, Filip},
  title        = {Computational certificates for prime torsion in degrees $9$--$22$},
  howpublished = {Harvard Dataverse},
  year         = {2026},
  note         = {\url{https://doi.org/10.7910/DVN/5HHEY4}},
}

@misc{NV,
  author       = {Najman, Filip and Varivoda, Marin},
  title        = {Torsion groups of elliptic curves that appear infinitely often over septic, octic and nonic fields},
  year         = {2026},
  howpublished = {Preprint, \url{https://arxiv.org/abs/2602.03513}},
}

@article{parentformal,
  author  = {Parent, Pierre},
  title   = {Bornes effectives pour la torsion des courbes elliptiques sur les corps de nombres},
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  volume  = {506},
  year    = {1999},
  pages   = {85--116},
  doi     = {10.1515/crll.1999.506.85},
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@article{parent,
  author  = {Parent, Pierre},
  title   = {Torsion des courbes elliptiques sur les corps cubiques},
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@article{parent2003,
  author  = {Parent, Pierre},
  title   = {No $17$-torsion on elliptic curves over cubic number fields},
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  pages   = {831--838},
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@article{PY,
  author  = {Prasad, Dipendra and Yogananda, C. S.},
  title   = {Bounding the torsion in {CM} elliptic curves},
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  volume  = {23},
  year    = {2001},
  number  = {1},
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  note    = {Preprint version \url{https://arxiv.org/abs/math/9810208}},
}

@misc{sagemath,
  key          = {SageMath},
  author       = {{The Sage Developers}},
  title        = {{S}age{M}ath, the {S}age {M}athematics {S}oftware {S}ystem ({V}ersion 10.7)},
  year         = {2025},
  howpublished = {\url{https://www.sagemath.org}},
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@article{siksek,
  author  = {Siksek, Samir},
  title   = {Chabauty for symmetric powers of curves},
  journal = {Algebra Number Theory},
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  doi     = {10.2140/ant.2009.3.209},
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@article{silverberg,
  author  = {Silverberg, Alice},
  title   = {Torsion points on abelian varieties of {CM}-type},
  journal = {Compositio Math.},
  volume  = {68},
  year    = {1988},
  number  = {3},
  pages   = {241--249},
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@misc{sutherlandX1,
  author       = {Sutherland, Andrew V.},
  title        = {Defining equations for {$X_1(N)$}},
  howpublished = {\url{https://math.mit.edu/~drew/X1_altcurves.html}},
}

@article{sutherland,
  author  = {Sutherland, Andrew V.},
  title   = {Constructing elliptic curves over finite fields with prescribed torsion},
  journal = {Math. Comp.},
  volume  = {81},
  year    = {2012},
  number  = {278},
  pages   = {1131--1147},
  doi     = {10.1090/S0025-5718-2011-02538-X},
}

@misc{vanHoeij,
  author       = {van Hoeij, Mark},
  title        = {Low degree places on the modular curve {$X_1(N)$}},
  year         = {2014},
  howpublished = {Preprint, \url{https://arxiv.org/abs/1202.4355}; data at
                  \url{https://www.math.fsu.edu/~hoeij/files/X1N/}},
}

@misc{varivoda,
  author       = {Varivoda, Marin},
  title        = {Gonality and quintic points on intermediate modular curves},
  year         = {2026},
  howpublished = {Preprint, \url{https://hexagonmath.org/2610.00219v1}},
}