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
604.a.9664.2	604.a	\( 2^{2} \cdot 151 \)	\( 2^{6} \cdot 151 \)	$0$	$0$	$\Z/27\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2,3$	✓	✓	$C_2$	$C_2$	$7$	$1$	2.6.1, 3.80.1	✓	✓	$1$	\( 3^{2} \)	\(1.000000\)	\(23.634831\)	\(0.291788\)	$[116,6265,95277,1236992]$	$[29,-226,836,-6708,9664]$	$[20511149/9664,-2755957/4832,175769/2416]$	$y^2 + (x^3 + 1)y = -x^4 + x^3 + x^2 - x$