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
1094.a.2188.1	1094.a	\( 2 \cdot 547 \)	\( 2^{2} \cdot 547 \)	$1$	$1$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$9$	$1$	2.6.1	✓	✓	$1$	\( 2 \)	\(0.003585\)	\(26.605542\)	\(0.190768\)	$[20,3001,-30387,280064]$	$[5,-124,596,-3099,2188]$	$[3125/2188,-3875/547,3725/547]$	$y^2 + (x^3 + 1)y = x^4 - x^2$