Genus 2 curves of conductor 16180

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
16180.a.161800.1	16180.a	\( 2^{2} \cdot 5 \cdot 809 \)	\( 2^{3} \cdot 5^{2} \cdot 809 \)	$2$	$2$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$		✓	✓	$C_2$	$C_2$	$14$	$0$		✓	✓	$1$	\( 2 \cdot 3 \)	\(0.005576\)	\(19.517026\)	\(0.652985\)	$[484,69361,6564553,20710400]$	$[121,-2280,10064,-995164,161800]$	$[25937424601/161800,-100978977/4045,18418378/20225]$	$y^2 + (x^3 + x + 1)y = x^5 + 4x^4 - x^2$