On uniform lower bound of the Galois images associated to elliptic curves
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Publication:1011970
DOI10.5802/jtnb.614zbMath1211.11066arXivmath/0703686OpenAlexW2085438011MaRDI QIDQ1011970
Publication date: 14 April 2009
Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0703686
Related Items (max. 100)
Typically bounding torsion on elliptic curves isogenous to rational 𝑗-invariant ⋮ Pursuing polynomial bounds on torsion ⋮ Averages of elliptic curve constants ⋮ Boundedness results for 2‐adic Galois images associated to hyperelliptic Jacobians ⋮ \(\mathbb{Q}\)-curves over odd degree number fields ⋮ A uniform open image theorem for \(\ell\)-adic representations. I ⋮ Elliptic curves over \(\mathbb {Q}\) and 2-adic images of Galois ⋮ Uniform boundedness in terms of ramification ⋮ Some uniform bounds for elliptic curves over \(\mathbb{Q} \)
Cites Work
- Supersingular module, Gross-Kudla formula and rational points of modular curves
- Rational isogenies of prime degree. (With an appendix by D. Goldfeld)
- Modular curves and the Eisenstein ideal
- Torsion points on elliptic curves and \(q\)-coefficients of modular forms
- Bounds for the torsion of elliptic curves over number fields
- Galois properties of points of finite order of elliptic curves
- Arithmetic Moduli of Elliptic Curves. (AM-108)
- Universal Bounds on the Torsion of Elliptic Curves
- Bornes effectives pour la torsion des courbes elliptiques sur les corps de nombres
- Towards the triviality of $X_0^+ (p^r) (\mathbb{Q})$ for r > 1
- Les Schémas de Modules de Courbes Elliptiques
- THEp-TORSION OF ELLIPTIC CURVES IS UNIFORMLY BOUNDED
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