Genus 2 curve search results

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
5911.b.5911.1	5911.b	\( 23 \cdot 257 \)	\( - 23 \cdot 257 \)	$2$	$2$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$12$	$0$	2.20.2	✓	✓	$1$	\( 1 \)	\(0.013645\)	\(19.752008\)	\(0.269521\)	$[156,-3015,-9981,756608]$	$[39,189,-1085,-19509,5911]$	$[90224199/5911,11211291/5911,-1650285/5911]$	$y^2 + (x^3 + x + 1)y = -2x^4 + x^3 - x^2$