Genus 2 curves of conductor 22131

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
22131.a.199179.1	22131.a	\( 3^{2} \cdot 2459 \)	\( - 3^{4} \cdot 2459 \)	$2$	$2$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$		✓	✓	$C_2$	$C_2$	$14$	$0$		✓	✓	$1$	\( 5 \)	\(0.006175\)	\(18.615626\)	\(0.574736\)	$[508,73225,17430667,25494912]$	$[127,-2379,-129717,-5533425,199179]$	$[33038369407/199179,-1624367719/66393,-232467277/22131]$	$y^2 + (x^3 + x + 1)y = 2x^6 - 4x^4 + x^2 - x$