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
100096.b.100096.1	100096.b	\( 2^{8} \cdot 17 \cdot 23 \)	\( - 2^{8} \cdot 17 \cdot 23 \)	$0$	$1$	$\Z/2\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$1$	$1$	2.60.1	✓	✓	$1$	\( 1 \)	\(1.000000\)	\(6.972917\)	\(1.743229\)	$[1326,-1344,-597342,-391]$	$[2652,296630,44782996,7693787123,-100096]$	$[-30142461298716/23,-2542592373165/46,-289488481893/92]$	$y^2 = x^5 - 9x^3 + 5x^2 + 21x - 20$
100096.c.100096.1	100096.c	\( 2^{8} \cdot 17 \cdot 23 \)	\( - 2^{8} \cdot 17 \cdot 23 \)	$0$	$1$	$\Z/2\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$1$	$1$	2.60.1	✓	✓	$1$	\( 1 \)	\(1.000000\)	\(11.273964\)	\(2.818491\)	$[1326,-1344,-597342,-391]$	$[2652,296630,44782996,7693787123,-100096]$	$[-30142461298716/23,-2542592373165/46,-289488481893/92]$	$y^2 = x^5 - 9x^3 - 5x^2 + 21x + 20$