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
555.a.8325.1	555.a	\( 3 \cdot 5 \cdot 37 \)	\( 3^{2} \cdot 5^{2} \cdot 37 \)	$0$	$2$	$\Z/2\Z\oplus\Z/10\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2,5$	✓	✓	$C_2$	$C_2$	$5$	$3$	2.120.3	✓	✓	$1$	\( 2^{2} \)	\(1.000000\)	\(25.692472\)	\(0.256925\)	$[1264,18124,6869487,33300]$	$[632,13622,351361,9125317,8325]$	$[100828984082432/8325,3438682756096/8325,140342016064/8325]$	$y^2 + (x + 1)y = 3x^5 - 2x^4 - 4x^3 + x^2 + x$