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Counting elliptic curves over the rationals with a 7-isogeny

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Publication:6072069
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DOI10.1007/s40993-023-00482-6arXiv2212.11354OpenAlexW4388071283MaRDI QIDQ6072069

John Voight, Grant Molnar

Publication date: 29 November 2023

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.11354


Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Elliptic curves over global fields (11G05) Elliptic curves (14H52)




Cites Work

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  • Explicit bounds for primes in arithmetic progressions
  • Elliptic curves with Galois-stable cyclic subgroups of order 4
  • On a probabilistic local-global principle for torsion on elliptic curves
  • Counting elliptic curves with prescribed torsion
  • Decoupling, exponential sums and the Riemann zeta function
  • The Arithmetic of Elliptic Curves
  • Courbes elliptiques sur Q sans nombres premiers exceptionnels
  • Exponential Sums and Lattice Points III
  • -adic images of Galois for elliptic curves over (and an appendix with John Voight)
  • Counting elliptic curves with an isogeny of degree three
  • Asymptotics for a class of arithmetic functions
  • On a Principle of Lipschitz
  • Counting elliptic curves with prescribed level structures over number fields
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