Zobrazeno 1 - 5
of 5
pro vyhledávání: '"11G05 (Primary), 11G40 (Secondary)"'
Autor:
Bell, Jamie
We provide a formula for the order of the Tate--Shafarevich group of elliptic curves over dihedral extensions of number fields of order $2n$, up to $4^{th}$ powers and primes dividing $n$. Specifically, for odd $n$ it is equal to the order of the Tat
Externí odkaz:
http://arxiv.org/abs/2411.15663
A positive integer $n$ is called a tiling number if the equilateral triangle can be dissected into $nk^2$ congruent triangles for some integer $k$. An integer $n>3$ is tiling number if and only if at least one of the elliptic curves $E^{(\pm n)}:\pm
Externí odkaz:
http://arxiv.org/abs/2405.11132
We study the rational Bianchi newforms (weight 2, trivial character, with rational Hecke eigenvalues) in the LMFDB that are not associated to elliptic curves, but instead to abelian surfaces with quaternionic multiplication. Two of these examples exh
Externí odkaz:
http://arxiv.org/abs/1907.12103
Autor:
Dokchitser, Tim, Dokchitser, Vladimir
Publikováno v:
J. Number Theory 131 (2011), 1833-1839
Conjecturally, the parity of the Mordell-Weil rank of an elliptic curve over a number field K is determined by its root number. The root number is a product of local root numbers, so the rank modulo 2 is conjecturally the sum over all places of K of
Externí odkaz:
http://arxiv.org/abs/0910.4588
Autor:
Vladimir Dokchitser, Tim Dokchitser
Conjecturally, the parity of the Mordell-Weil rank of an elliptic curve over a number field K is determined by its root number. The root number is a product of local root numbers, so the rank modulo 2 is conjecturally the sum over all places of K of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a243e6045802bb704c0bde5b2c45feb8