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
1147.a.35557.1	1147.a	\( 31 \cdot 37 \)	\( 31^{2} \cdot 37 \)	$0$	$2$	$\Z/2\Z\oplus\Z/4\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$3$	$3$	2.120.3	✓	✓	$1$	\( 2 \)	\(1.000000\)	\(11.458568\)	\(0.358080\)	$[3712,11944,14677639,142228]$	$[1856,141540,14195057,1578113548,35557]$	$[22023678539595776/35557,904926084464640/35557,48898223869952/35557]$	$y^2 + xy = x^5 + 8x^4 + 18x^3 + 8x^2 + x$