On the surjectivity of Galois representations attached to elliptic curves over number fields
Álvaro Lozano-Robledo (2005)
Acta Arithmetica
Similarity:
Displaying similar documents to “Galois representations of octahedral type and 2-coverings of elliptic curves.”
On the surjectivity of Galois representations attached to elliptic curves over number fields
Icosahedral Galois Extensions and Elliptic Curves.
Annette Klute (1997)
Manuscripta mathematica
Similarity:
On families of 9-congruent elliptic curves
Tom Fisher (2015)
Acta Arithmetica
Similarity:
We compute equations for the families of elliptic curves 9-congruent to a given elliptic curve. We use these to find infinitely many non-trivial pairs of 9-congruent elliptic curves over ℚ, i.e. pairs of non-isogenous elliptic curves over ℚ whose 9-torsion subgroups are isomorphic as Galois modules.
On Galois representations arising from towers of coverings of P1 ... .
Y. Ihara (1986)
Inventiones mathematicae
Similarity:
Galois representations on profinite braid groups on curves.
Makoto Matsumoto (1996)
Journal für die reine und angewandte Mathematik
Similarity:
New forms and Galois representations of octahedral type. (Formes primitives et représentations galoisiennes de type octaédral.)
Cassou-Noguès, Philippe, Jehanne, Arnaud (1996)
Experimental Mathematics
Similarity:
Galois representations of dihedral type over ℚₚ
Peder Frederiksen, Ian Kiming (2004)
Acta Arithmetica
Similarity:
Deformations of Galois representations arising from degenerate extensions
Adam Logan (2002)
Acta Arithmetica
Similarity:
Rational points on twists of X₀(63)
Nils Bruin, Julio Fernández, Josep González, Joan-C. Lario (2007)
Acta Arithmetica
Similarity:
Some p-adic Galois Representations for Curves in Characteristic p.
Robert C. Valentini (1986)
Mathematische Zeitschrift
Similarity:
Elliptic curves with complex multiplication and Galois module structure.
Anupam Srivastav, Martin J. Taylor (1990)
Inventiones mathematicae
Similarity:
On the equation a³ + b³ⁿ = c²
Michael A. Bennett, Imin Chen, Sander R. Dahmen, Soroosh Yazdani (2014)
Acta Arithmetica
Similarity:
We study coprime integer solutions to the equation a³ + b³ⁿ = c² using Galois representations and modular forms. This case represents perhaps the last natural family of generalized Fermat equations descended from spherical cases which is amenable to resolution using the so-called modular method. Our techniques involve an elaborate combination of ingredients, ranging from ℚ-curves and a delicate multi-Frey approach, to appeal to intricate image of inertia arguments.
Compatible families of elliptic type
David E. Rohrlich (2010)
Acta Arithmetica
Similarity:
Explicit deformation of Galois representations.
Nigel Boston (1991)
Inventiones mathematicae
Similarity:
On twisted Galois-Gauß sums and canonical factorizations.
D. Burns (1995)
Mathematische Zeitschrift
Similarity:
Multiplicities of mod p Galois representations.
Chandrashekhar Khare (1998)
Manuscripta mathematica
Similarity: