Isolated points on \(X_1(\ell^n)\) with rational \(j\)-invariant
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Publication:2122574
DOI10.1007/s40993-022-00313-0zbMath1497.11148arXiv2201.09002OpenAlexW4211073947WikidataQ114218061 ScholiaQ114218061MaRDI QIDQ2122574
Publication date: 7 April 2022
Published in: Research in Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.09002
Rational points (14G05) Elliptic curves over global fields (11G05) Elliptic curves (14H52) Arithmetic aspects of modular and Shimura varieties (11G18)
Uses Software
Cites Work
- Ramification in the division fields of elliptic curves with potential supersingular reduction
- On the field of definition of \(p\)-torsion points on elliptic curves over the rationals
- Rational points on \(X_0^+(p^r)\)
- Serre's uniformity problem in the split Cartan case
- Rational isogenies of prime degree. (With an appendix by D. Goldfeld)
- Curves with infinitely many points of fixed degree
- Explicit Chabauty-Kim for the split Cartan modular curve of level 13
- On the level of modular curves that give rise to isolated \(j\)-invariants
- Galois properties of points of finite order of elliptic curves
- The image of Galois representations attached to elliptic curves with an isogeny
- COMPUTING IMAGES OF GALOIS REPRESENTATIONS ATTACHED TO ELLIPTIC CURVES
- Serre’s uniformity conjecture for elliptic curves with rational cyclic isogenies
- Rational families of 17-torsion points of elliptic curves over number fields
- On elliptic curves with an isogeny of degree 7
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