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
7389.a.22167.1	7389.a	\( 3^{2} \cdot 821 \)	\( 3^{3} \cdot 821 \)	$2$	$3$	$\Z/2\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$14$	$0$	2.15.1	✓	✓	$1$	\( 2 \)	\(0.039437\)	\(18.389087\)	\(0.362602\)	$[588,9945,1746243,-2837376]$	$[147,486,20,-58314,-22167]$	$[-2542277241/821,-57177414/821,-48020/2463]$	$y^2 + (x^3 + x^2 + x)y = -2x^4 + x^2 - 2x + 1$