TORSION POINTS ON ELLIPTIC CURVES WITH COMPLEX MULTIPLICATION (WITH AN APPENDIX BY ALEX RICE)

DOI10.1142/S1793042112501436zbMath1272.11075arXiv0907.2499OpenAlexW2112883752MaRDI QIDQ4909133

Brian Cook, James Stankewicz, Pete L. Clark

Publication date: 12 March 2013

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.2499

zbMATH Keywords

torsioncomplex multiplicationelliptic currves

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Complex multiplication and moduli of abelian varieties (11G15)

Related Items (19)

Bounded gaps between primes with a given primitive root. II ⋮ Extremal primes for elliptic curves with complex multiplication ⋮ Tamagawa numbers of elliptic curves with torsion points ⋮ On the field of definition of \(p\)-torsion points on elliptic curves over the rationals ⋮ Orders of reductions of elliptic curves with many and few prime factors ⋮ A Titchmarsh divisor problem for elliptic curves ⋮ The least degree of a CM point on a modular curve ⋮ Abelian varieties isogenous to a power of an elliptic curve over a Galois extension ⋮ Torsion points on elliptic curves over number fields of small degree ⋮ Torsion points on CM elliptic curves over real number fields ⋮ Frobenius distributions in short intervals for CM elliptic curves ⋮ Torsion points and isogenies on CM elliptic curves ⋮ Rational families of 17-torsion points of elliptic curves over number fields ⋮ Anatomy of torsion in the CM case ⋮ The truth about torsion in the CM case ⋮ Acyclotomy of torsion in the CM case ⋮ Torsion points and Galois representations on CM elliptic curves ⋮ Uniform boundedness in terms of ramification ⋮ On the level of modular curves that give rise to isolated \(j\)-invariants

Uses Software

• SageMath

Cites Work

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