Explicit lower bounds on the conductors of elliptic curves and abelian
varieties over number fields
Explicit lower bounds on the conductors of elliptic curves and abelian
varieties over number fields
Following the work of Mestre, we use Weil's explicit formulas to compute explicit lower bounds on the conductors of elliptic curves and abelian varieties over number fields. Moreover, we obtain bounds for the conductor of elliptic curves and abelian varieties over $\mathbb{Q}$ with specified bad reduction and over number fields. …