Genus 2 curves of conductor 9771

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
9771.a.29313.1	9771.a	\( 3 \cdot 3257 \)	\( - 3^{2} \cdot 3257 \)	$2$	$2$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$14$	$0$	2.10.1	✓	✓	$1$	\( 2 \)	\(0.010535\)	\(19.729950\)	\(0.415702\)	$[364,17689,1923203,3752064]$	$[91,-392,-6336,-182560,29313]$	$[6240321451/29313,-295399832/29313,-5829824/3257]$	$y^2 + (x^2 + x + 1)y = x^6 + x^3 - x^2 - x$