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
20532.b.123192.1	20532.b	\( 2^{2} \cdot 3 \cdot 29 \cdot 59 \)	\( 2^{3} \cdot 3^{2} \cdot 29 \cdot 59 \)	$2$	$2$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$		✓	✓	$C_2$	$C_2$	$14$	$0$		✓	✓	$1$	\( 2 \cdot 3 \)	\(0.006940\)	\(17.274510\)	\(0.719338\)	$[988,11089,6525479,-15768576]$	$[247,2080,-24048,-2566564,-123192]$	$[-919358226007/123192,-3917997980/15399,20377006/1711]$	$y^2 + (x^3 + x + 1)y = 2x^6 - 3x^4 - x$