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
3564.b.705672.1	3564.b	\( 2^{2} \cdot 3^{4} \cdot 11 \)	\( - 2^{3} \cdot 3^{6} \cdot 11^{2} \)	$1$	$1$	$\Z/3\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2,3$	✓	✓	$C_2$	$C_2$	$10$	$0$	2.40.3, 3.80.1	✓	✓	$1$	\( 2 \cdot 3^{2} \)	\(0.017792\)	\(12.922605\)	\(0.459848\)	$[404,6537,761861,371712]$	$[303,1374,-14980,-1606704,705672]$	$[10510100501/2904,235938929/4356,-38202745/19602]$	$y^2 + (x^3 + x + 1)y = 2x^2 + 4x + 2$