Good elliptic curves with a specified torsion subgroup

This https://t.co/0Pb5DZk0S9 has been replaced. Links: https://t.co/60K5kRrN7p https://t.co/SU47fUoBYc https://t.co/T0LTxIUCiW https://t.co/ZGJEKiU1hC

fifteen torsion subgroups $T$ allowed by Mazur's Torsion Theorem, there are infinitely many good elliptic curves $E$ with $E\!\left(\mathbb{Q}\right) _{\text{tors}}\cong T$. [3/3 of https://t.co/gZWUXNmlyh]

to a global minimal model of $E$. In this article, we generalize Masser's Theorem on the existence of infinitely many good elliptic curves with full $2$-torsion. Specifically, we prove via constructive methods that for each of the [2/3 of https://t.co/g…

An elliptic curve $E$ over $\mathbb{Q}$ is said to be good if $N_{E}^{6}<\max\!\left\{ \left\vert c_{4}^{3}\right\vert ,c_{6}^{2}\right\} $ where $N_{E}$ is the conductor of $E$ and $c_{4}$ and $c_{6}$ are the invariants associated [1/3 of https://t.…