Genus 2 curves of conductor 425169

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
425169.a.425169.1	425169.a	\( 3^{4} \cdot 29 \cdot 181 \)	\( 3^{4} \cdot 29 \cdot 181 \)	$2$	$2$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$		✓	✓	$C_2$	$C_2$	$4$	$0$		✓	✓	$1$	\( 1 \)	\(0.401561\)	\(7.493073\)	\(3.008929\)	$[708,1089,1310337,54421632]$	$[177,1260,-3132,-535491,425169]$	$[2144772897/5249,86259180/5249,-41772/181]$	$y^2 + (x^3 + x^2 + 1)y = x^4 + x^3 - x^2 - 2x - 2$