Realization of some Galois representations of low degree in Mordell-Weil groups
نویسندگان
چکیده
منابع مشابه
Realization of Some Galois Representations of Low Degree in Mordell-weil Groups
For example, suppose that G ∼= S9 and H ∼= S8, where Sn denotes the symmetric group on n letters. Then ρ is one of the two absolutely irreducible representations of G of dimension 8, and according to our theorem there exists an elliptic curve E over M such that ρ occurs in Q⊗E(K). The other absolutely irreducible representation of G of dimension 8 is ρ ⊗ , where is the “sign” character of G, an...
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The Mordell-Weil theorem states that the group of rational points on an elliptic curve over the rational numbers is a finitely generated abelian group. In our previous paper, H. Daghigh, and S. Didari, On the elliptic curves of the form $ y^2=x^3-3px$, Bull. Iranian Math. Soc. 40 (2014), no. 5, 1119--1133., using Selmer groups, we have shown that for a prime $p...
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 1997
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.1997.v4.n1.a11