Shenxing Zhang

On the quadratic twist of elliptic curves with full 2-torsion

Let [Formula: see text] be an elliptic curve with full [Formula: see text]-torsion group, where [Formula: see text] and [Formula: see text] are coprime integers and [Formula: see text] is a square. Assume that the [Formula: see text]-Selmer group of [Formula: see text] has rank t...