2 problems

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The rank bound for supersingular elliptic curves over a $\mathds{Z}_p^2$ -extension
Let $E$ be an elliptic curve over $\mathds{Q}$ with good supersingular reduction at $p$ and $a_p=0$ . Let $F$ be an imaginary quadratic field in which $p$ splits completely, let…
Conjectureopeniwasawa-theory mordell-weil-ranks supersingular-elliptic-curvesarXiv posted 2 days ago
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Conjectural upper bound for Mordell–Weil ranks in uniform $p$ -adic Lie extensions
Assume that $A$ is an abelian variety over a number field $F$ with ordinary reduction at every prime above $p$ , that $F_{\infty}$ is a uniform admissible $p$ -adic extension of dime…
Conjectureopeniwasawa-theory mordell-weil-ranks p-adic-lie-extensionsarXiv posted 2 days ago

The rank bound for supersingular elliptic curves over a \mathdsZp2\mathds{Z}_p^2\mathdsZp2​-extension