Regulators of rank one quadratic twists
Texte intégral
Figure
Documents relatifs
• For the curves 11a1 and 17a1, two graphs comparing the moments of order 1/2 and 1 of the regulators of the twists by prime discriminants with the functions given by the
• For the curves 11a1 and 17a1, two graphs comparing the moments of order 1/2 and 1 of the regulators of the twists by prime discriminants with the functions given by the
a, Images of live Pax7 Δ20nt/Δ20nt animals at different ages compared to corresponding controls show the progressive loss of the trunk muscle in mutant animals.. Black
On the elliptic curve side, assuming the height conjecture of Lang and Silverman, we obtain a Northcott property for the regulator on the set of elliptic curves with dense
It lists the number of m/n up to height 10 4 that survived the 2-Selmer test (note that a few d appear twice), the number of d that survived the 4-descent Cassels-Tate pairing, 41
Our concerns in this paper are to introduce systematically twists of the curves with µ in Q − {1} over quadratic fields and the Galois closures of cubic fields, and, in the latter
We now show how one may use results like Theorem 2 to establish the existence of infinitely many rank 0 quadratic twists of certain curves by fundamental
for elliptic curves E defined over function fields provided the Tate-Shafarevich group for the function field is finite.. This provides an effective algorithm