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
67203.c.604827.1	67203.c	\( 3^{3} \cdot 19 \cdot 131 \)	\( 3^{5} \cdot 19 \cdot 131 \)	$3$	$3$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$		✓	✓	$C_2$	$C_2$	$18$	$0$		✓	✓	$1$	\( 3 \)	\(0.016859\)	\(13.556935\)	\(0.685653\)	$[1116,27657,9938475,-77417856]$	$[279,2091,1547,-985167,-604827]$	$[-6956883693/2489,-186878943/2489,-1486667/7467]$	$y^2 + (x^3 + x + 1)y = -x^4 - x^2 + 2$