2 problems

The rank-zero fibre conjecture for non-isotrivial elliptic surfaces
Rank-zero fibre conjecture. There are infinitely many $b\in\mathbb{P}^1(\mathbb{Q})$ such that
openFrom paperselliptic-surfaces mordell-weil-groups ranks-of-elliptic-curves
0 responses
6
The non-isotrivial elliptic-surface rank conjecture
Non-isotrivial elliptic-surface rank conjecture. If $\pi$ is non-isotrivial, then both $\mathscr{J}(X,\pi)$ and $\mathscr{N}(X,\pi)$ are infinite.
openFrom paperselliptic-surfaces mordell-weil-groups ranks-of-elliptic-curves
0 responses
6

The rank-zero fibre conjecture for non-isotrivial elliptic surfaces