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
574.a.293888.1	574.a	\( 2 \cdot 7 \cdot 41 \)	\( - 2^{10} \cdot 7 \cdot 41 \)	$0$	$2$	$\Z/2\Z\oplus\Z/10\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2,5$	✓	✓	$C_2$	$C_2$	$6$	$2$	2.180.3	✓	✓	$1$	\( 2 \cdot 5 \)	\(1.000000\)	\(11.546350\)	\(0.288659\)	$[68,-55823,-955895,-37617664]$	$[17,2338,2304,-1356769,-293888]$	$[-1419857/293888,-820471/20992,-2601/1148]$	$y^2 + (x^2 + x)y = x^5 - x^4 - 3x^2 + x + 1$