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
3462.a.560844.1	3462.a	\( 2 \cdot 3 \cdot 577 \)	\( - 2^{2} \cdot 3^{5} \cdot 577 \)	$1$	$2$	$\Z/2\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$10$	$2$	2.30.3	✓	✓	$1$	\( 2 \cdot 5 \)	\(0.015776\)	\(11.411347\)	\(0.450053\)	$[184,-5456,-146259,2243376]$	$[92,1262,-5185,-517416,560844]$	$[1647703808/140211,245676064/140211,-10971460/140211]$	$y^2 + (x + 1)y = x^5 - 3x^3 + 4x^2 - 3x$