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
1519.a.1519.1	1519.a	\( 7^{2} \cdot 31 \)	\( - 7^{2} \cdot 31 \)	$1$	$1$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$6$	$0$	2.40.2	✓	✓	$1$	\( 1 \)	\(0.011133\)	\(23.937241\)	\(0.266486\)	$[804,1953,517041,-194432]$	$[201,1602,16160,170439,-1519]$	$[-328080401001/1519,-13009202802/1519,-652880160/1519]$	$y^2 + (x^3 + x + 1)y = -2x^4 + 2x^2 - x - 1$