Integral Tate modules and splitting of primes in torsion fields of elliptic curves

DOI10.1142/S1793042116500147zbMath1408.11055arXiv1201.2124MaRDI QIDQ5743854

Tommaso Giorgio Centeleghe

Publication date: 8 February 2016

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

Full work available at URL: https://arxiv.org/abs/1201.2124

zbMATH Keywords

reciprocity lawelliptic curveintegral Tate module

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Curves over finite and local fields (11G20) Elliptic curves over local fields (11G07)

Related Items (10)

Computing endomorphism rings and Frobenius matrices of Drinfeld modules ⋮ Frobenius finds non-monogenic division fields of abelian varieties ⋮ On the symplectic type of isomorphisms of the 𝑝-torsion of elliptic curves ⋮ -adic images of Galois for elliptic curves over (and an appendix with John Voight) ⋮ Ramification in division fields and sporadic points on modular curves ⋮ On the degree of the $p$-torsion field of elliptic curves over $\mathbb Q_\ell $ for $\ell \not =p$ ⋮ The generalized Fermat equation with exponents 2, 3, ⋮ Non-monogenic division fields of elliptic curves ⋮ Reprint of: Endomorphism rings of reductions of Drinfeld modules ⋮ Endomorphism rings of reductions of Drinfeld modules

Uses Software

• IntegralFrobenius.m

Cites Work

• Unnamed Item
• Endomorphisms of Abelian varieties over finite fields
• A reciprocity law in non-solvable extensions.
• Abelian varieties over finite fields

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