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
388.a.776.1	388.a	\( 2^{2} \cdot 97 \)	\( 2^{3} \cdot 97 \)	$0$	$0$	$\Z/21\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2,3,7$	✓	✓	$C_2$	$C_2$	$6$	$0$	2.10.1, 3.80.1	✓	✓	$1$	\( 3 \)	\(1.000000\)	\(29.135501\)	\(0.198201\)	$[36,1569,-13743,99328]$	$[9,-62,356,-160,776]$	$[59049/776,-22599/388,7209/194]$	$y^2 + (x^3 + x + 1)y = -x^4 + 2x^2 + x$