Explicit moduli spaces for congruences of elliptic curves
From MaRDI portal
Publication:2193047
DOI10.1007/s00209-019-02392-9zbMath1472.11179arXiv1804.10195OpenAlexW2972942012WikidataQ127253102 ScholiaQ127253102MaRDI QIDQ2193047
Publication date: 24 August 2020
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.10195
Elliptic curves over global fields (11G05) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27) Galois representations (11F80)
Related Items (3)
Congruences of elliptic curves arising from nonsurjective mod 𝑁 Galois representations ⋮ On 12-congruences of elliptic curves ⋮ Explicit methods in number theory. Abstracts from the workshop held July 18--24, 2021 (hybrid meeting)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hilbert modular surfaces for square discriminants and elliptic subfields of genus 2 function fields
- Density of rational points on certain surfaces
- An elliptic \(K3\) surface associated to Heron triangles
- Twists of \(X(7)\) and primitive solutions to \(x^2+y^3=z^7\)
- \(K3\) surfaces with Picard number one and infinitely many rational points
- On Siegel's modular curve of level 5 and the class number one problem
- The Magma algebra system. I: The user language
- Modular diagonal quotient surfaces
- The Shafarevich-Tate conjecture for pencils of elliptic curves on K3 surfaces
- Elliptic curves having the same 6-torsion of a given elliptic curve
- On the Picard number of \(K3\) surfaces over number fields
- Invariant theory for the elliptic normal quintic. I: Twists of \(X(5)\)
- On families of 7- and 11-congruent elliptic curves
- Mordell–Weil ranks of families of elliptic curves associated to Pythagorean triples
- The Hessian of a genus one curve
- Lectures on K3 Surfaces
- On families of 9-congruent elliptic curves
- Sur la courbe modulaire Xndép(ll)
- Visualizing Elements in the Shafarevich—Tate Group
- Mod $2$ representations of elliptic curves
- Families of elliptic curves with the same mod 8 representations
- Density of rational points on elliptic surfaces
- Sur la courbe modulaireXE(7)
- Recent progress on the Tate conjecture
- Elliptic K3 Surfaces with Geometric Mordell–Weil Rank 15
This page was built for publication: Explicit moduli spaces for congruences of elliptic curves