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
3336.c.80064.1	3336.c	\( 2^{3} \cdot 3 \cdot 139 \)	\( - 2^{6} \cdot 3^{2} \cdot 139 \)	$0$	$2$	$\Z/2\Z\oplus\Z/8\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$5$	$3$	2.120.3	✓	✓	$1$	\( 2^{4} \)	\(1.000000\)	\(14.166901\)	\(0.885431\)	$[1152,-1056,-430020,-320256]$	$[576,14000,461988,17526272,-80064]$	$[-110075314176/139,-4644864000/139,-266105088/139]$	$y^2 + (x + 1)y = 6x^5 + 2x^4 + 2x^2 + x$