Growth of torsion groups of elliptic curves upon base change
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Publication:5216735
DOI10.1090/mcom/3478zbMath1480.11071arXiv1609.02515OpenAlexW2520916419WikidataQ127616554 ScholiaQ127616554MaRDI QIDQ5216735
Filip Najman, Enrique González-Jiménez
Publication date: 18 February 2020
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.02515
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Cites Work
- Torsion of rational elliptic curves over quadratic fields. II
- A criterion to rule out torsion groups for elliptic curves over number fields
- On the field of definition of \(p\)-torsion points on elliptic curves over the rationals
- Rational points on \(X_0^+(p^r)\)
- Gonality of the modular curve \(X_1(N)\)
- Torsion of rational elliptic curves over cubic fields
- Complete classification of the torsion structures of rational elliptic curves over quintic number fields
- Serre's uniformity problem in the split Cartan case
- Torsion of rational elliptic curves over cubic fields and sporadic points on \(X_1(n)\)
- Torsion of rational elliptic curves over quartic Galois number fields
- Quelques applications du théorème de densité de Chebotarev
- Rational isogenies of prime degree. (With an appendix by D. Goldfeld)
- Modular curves and the Eisenstein ideal
- On the minimal degree of definition of \(p\)-primary torsion subgroups of elliptic curves
- Infinite families of elliptic curves over dihedral quartic number fields
- Torsion points on elliptic curves and \(q\)-coefficients of modular forms
- Bounds for the torsion of elliptic curves over number fields
- Elliptic curves over \(\mathbb {Q}\) and 2-adic images of Galois
- Explicit Chabauty-Kim for the split Cartan modular curve of level 13
- Galois properties of points of finite order of elliptic curves
- Computation on elliptic curves with complex multiplication
- COMPUTING IMAGES OF GALOIS REPRESENTATIONS ATTACHED TO ELLIPTIC CURVES
- Torsion points on elliptic curves defined over quadratic fields
- On the Modular Curves X 0 (125), X 1 (25), X 1 (49)
- The Modular Curve X 0 (169) and Rational Isogeny
- The modular curves X0(65) and X0(91) and rational isogeny
- Universal Bounds on the Torsion of Elliptic Curves
- The modular curve X0(39) and rational isogeny
- On the torsion of rational elliptic curves over quartic fields
- On the torsion of elliptic curves over cubic number fields
- Torsion subgroups of elliptic curves over quintic and sextic number fields
- Torsion points on CM elliptic curves over real number fields
- ON THE TORSION OF ELLIPTIC CURVES OVER QUARTIC NUMBER FIELDS