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
100035.b.300105.1	100035.b	\( 3^{4} \cdot 5 \cdot 13 \cdot 19 \)	\( 3^{5} \cdot 5 \cdot 13 \cdot 19 \)	$1$	$2$	$\Z/2\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$3$	$1$	2.60.1	✓	✓	$1$	\( 2 \)	\(0.246223\)	\(15.993195\)	\(1.968946\)	$[2492,25801,20659243,158080]$	$[1869,135873,12388689,1173246903,300105]$	$[93851287159343/1235,3650520528599/1235,534267719209/3705]$	$y^2 + (x^3 + 1)y = x^5 - 3x^4 - 5x^3 + 11x^2 - 5$