Genus 2 curve search results

Results (displaying both matches)

 

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
136806.a.820836.1	136806.a	\( 2 \cdot 3 \cdot 151^{2} \)	\( 2^{2} \cdot 3^{2} \cdot 151^{2} \)	$3$	$3$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$19$	$1$	2.12.1	✓	✓	$1$	\( 2^{2} \)	\(0.018370\)	\(15.772041\)	\(1.158903\)	$[44,62665,7982011,-105067008]$	$[11,-2606,-102880,-1980729,-820836]$	$[-161051/820836,1734293/410418,3112120/205209]$	$y^2 + (x^3 + 1)y = -x^5 + 2x^4 - 4x^2 + 2$
163018.a.326036.1	163018.a	\( 2 \cdot 81509 \)	\( 2^{2} \cdot 81509 \)	$3$	$3$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$19$	$1$	2.6.1	✓	✓	$1$	\( 2 \)	\(0.035611\)	\(16.076441\)	\(1.145004\)	$[1140,31257,10978749,41732608]$	$[285,2082,4208,-783861,326036]$	$[1880287678125/326036,24098239125/163018,85448700/81509]$	$y^2 + (x^3 + 1)y = -3x^4 + x^3 + 3x^2 - 2x$