most citedSelmer groups of elliptic curves in degree extensions

5 citations · 8 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2017★ 3 cited

Character sums for elliptic curve densities

Julio Brau

If is an elliptic curve over , then it follows from work of Serre and Hooley that, under the assumption of the Generalized Riemann Hypothesis, the density of primes…

math.NT2014

Elliptic curves with 2-torsion contained in the 3-torsion field

Julio Brau, Nathan Jones

There is a modular curve X'(6) of level 6 defined over Q whose Q-rational points correspond to j-invariants of elliptic curves E over Q for which Q(E[2]) is a subfield of Q(E[3]).…

math.NT2014★ 5 cited

Selmer groups of elliptic curves in degree extensions

Julio Brau

We study the growth of the Galois invariants of the -Selmer group of an elliptic curve in a degree Galois extension. We show that this growth is determined by certain local…