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
5904.a.70848.1	5904.a	\( 2^{4} \cdot 3^{2} \cdot 41 \)	\( - 2^{6} \cdot 3^{3} \cdot 41 \)	$1$	$2$	$\Z/2\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$10$	$2$	2.30.3	✓	✓	$1$	\( 2 \cdot 5 \)	\(0.016345\)	\(16.826010\)	\(0.687546\)	$[48,0,6840,8856]$	$[48,96,-5824,-72192,70848]$	$[147456/41,6144/41,-23296/123]$	$y^2 + (x^3 + x^2 + x + 1)y = -2x^2 - 2x$