4 problems

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Parity consequence for the curves $E_D$ : positive rank in the negative-sign case
For nonzero rational $D$ , let $E_D$ be the elliptic curve … over ${\bf Q}$ . Write $r_{\rm an}(E_D/{\bf Q})$ for the order of vanishing at $s=1$ of $L(E_D/{\bf Q},s)$ . In the case w…
Conjectureopenbsd-conjecture congruent-numbers elliptic-curvesarXiv posted 2 days ago
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Bertolini–Darmon–Prasanna p-adic BSD conjecture over an imaginary quadratic field
Bertolini–Darmon–Prasanna p-adic BSD conjecture. One has
Conjectureopenbsd-conjecture elliptic-curves p-adic-l-functionsarXiv posted 2 days ago
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Supersingular $p$ -adic Birch and Swinnerton-Dyer conjecture
Let $E$ be an elliptic curve with good supersingular reduction at the prime $p$ , let $r_E$ be its Mordell–Weil rank, and choose $\ddag\in\\{+,-\\}$ . Write…
Conjecturesolvedbsd-conjecture elliptic-curves iwasawa-theoryarXiv posted 2 days ago
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The generalized BSD conjecture for anticyclotomic twists of spinor $L$ -functions
Let $A/{\mathbb Q}$ be an abelian surface associated with a Siegel cusp form $f$ , let $K$ be an imaginary quadratic field, and let $K^-_\infty/K$ be the anticyclotomic…
Conjectureopenanticyclotomic-extensions bsd-conjecture spinor-l-functionsarXiv posted 2 days ago

Parity consequence for the curves EDE_DED​: positive rank in the negative-sign case