Rank-one twists of a certain elliptic curve
From MaRDI portal
Publication:1271218
DOI10.1007/s002080050209zbMath0933.11034OpenAlexW2030103408MaRDI QIDQ1271218
Publication date: 14 February 1999
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s002080050209
Elliptic curves over global fields (11G05) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)
Related Items
Class numbers of quadratic fields ${\mathbb Q}(\sqrt {D})$ and ${\mathbb Q}(\sqrt {tD})$ ⋮ On ranks of quadratic twists of a Mordell curve ⋮ On the Davenport-Heilbronn theorems and second order terms ⋮ ABC and the Hasse principle for quadratic twists of hyperelliptic curves ⋮ Indivisibility of class numbers of imaginary quadratic fields ⋮ Rational torsion on optimal curves and rank-one quadratic twists ⋮ Congruent elliptic curves with non-trivial Shafarevich-Tate groups: distribution part ⋮ Heegner points on elliptic curves with a rational torsion point ⋮ GOLDFELD’S CONJECTURE AND CONGRUENCES BETWEEN HEEGNER POINTS ⋮ On the proportion of rank 0 twists of elliptic curves ⋮ ON TWISTS OF THE FERMAT CUBIC x3 + y3 = 2 ⋮ \(3\)-isogeny Selmer groups and ranks of abelian varieties in quadratic twist families over a number field ⋮ Class number divisibility for imaginary quadratic fields ⋮ DENSITY RESULTS FOR SPECIALIZATION SETS OF GALOIS COVERS ⋮ ON POSITIVE PROPORTION OF RANK-ZERO TWISTS OF ELLIPTIC CURVES OVER ⋮ Rank-one quadratic twists of an infinite family of elliptic curves ⋮ Galois groups via Atkin-Lehner twists ⋮ Mordell-Weil ranks of quadratic twists of pairs of elliptic curves. ⋮ Quadratic twists of elliptic curves with 3-Selmer rank 1 ⋮ A note on rank one quadratic twists of elliptic curves and the non-degeneracy of 𝑝-adic regulators at Eisenstein primes
