Genus 2 curves of conductor 15681

Results (unique match)

 

Label	Class	Conductor	Discriminant	Rank*	2-Selmer rank	Torsion	$\textrm{End}^0(J_{\overline\Q})$	$\textrm{End}^0(J)$	$\GL_2\textsf{-type}$	Sato-Tate	Nonmaximal primes	$\Q$-simple	\(\overline{\Q}\)-simple	\(\Aut(X)\)	\(\Aut(X_{\overline{\Q}})\)	$\Q$-points	$\Q$-Weierstrass points	mod-$\ell$ images	Locally solvable	Square Ш*	Analytic Ш*	Tamagawa	Regulator	Real period	Leading coefficient	Igusa-Clebsch invariants	Igusa invariants	G2-invariants	Equation
15681.a.47043.1	15681.a	\( 3 \cdot 5227 \)	\( - 3^{2} \cdot 5227 \)	$2$	$2$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$13$	$1$	2.6.1	✓	✓	$1$	\( 2 \)	\(0.013859\)	\(20.253731\)	\(0.561391\)	$[248,2416,142264,-188172]$	$[124,238,2476,62595,-47043]$	$[-29316250624/47043,-453776512/47043,-38070976/47043]$	$y^2 + y = x^5 - 2x^4 - x^3 + 3x^2 - x$