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
1472.a.94208.1	1472.a	\( 2^{6} \cdot 23 \)	\( - 2^{12} \cdot 23 \)	$0$	$2$	$\Z/2\Z\oplus\Z/2\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$3$	$3$	2.120.3	✓	✓	$1$	\( 2 \)	\(1.000000\)	\(3.929409\)	\(0.491176\)	$[1168,1204,381076,-368]$	$[2336,224160,28881152,4304666368,-94208]$	$[-16982602489856/23,-697616405760/23,-38476914752/23]$	$y^2 = 4x^5 - 3x^4 - 4x^3 - x^2 + 7x - 3$
5888.b.94208.1	5888.b	\( 2^{8} \cdot 23 \)	\( - 2^{12} \cdot 23 \)	$0$	$2$	$\Z/2\Z\oplus\Z/4\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$3$	$3$	2.120.3	✓	✓	$1$	\( 2^{2} \)	\(1.000000\)	\(15.882763\)	\(0.992673\)	$[1168,1204,381076,-368]$	$[2336,224160,28881152,4304666368,-94208]$	$[-16982602489856/23,-697616405760/23,-38476914752/23]$	$y^2 = 4x^5 + 3x^4 - 4x^3 + x^2 + 7x + 3$