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
25024.b.100096.1	25024.b	\( 2^{6} \cdot 17 \cdot 23 \)	\( - 2^{8} \cdot 17 \cdot 23 \)	$0$	$1$	$\Z/4\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$1$	$1$	2.60.1	✓	✓	$1$	\( 2 \)	\(1.000000\)	\(16.741582\)	\(2.092698\)	$[450,2088,442170,391]$	$[900,28182,-64820,-213140781,100096]$	$[2306601562500/391,160505296875/782,-820378125/1564]$	$y^2 = x^5 + 2x^4 - 3x^3 + 7x^2 - 7x + 2$
100096.a.100096.1	100096.a	\( 2^{8} \cdot 17 \cdot 23 \)	\( - 2^{8} \cdot 17 \cdot 23 \)	$0$	$1$	$\Z/2\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$1$	$1$	2.60.1	✓	✓	$1$	\( 1 \)	\(1.000000\)	\(3.616386\)	\(0.904096\)	$[450,2088,442170,391]$	$[900,28182,-64820,-213140781,100096]$	$[2306601562500/391,160505296875/782,-820378125/1564]$	$y^2 = x^5 - 2x^4 - 3x^3 - 7x^2 - 7x - 2$