Genus 2 curves of conductor 18252

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
18252.a.328536.1	18252.a	\( 2^{2} \cdot 3^{3} \cdot 13^{2} \)	\( 2^{3} \cdot 3^{5} \cdot 13^{2} \)	$2$	$2$	$\Z/3\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$3$	✓	✓	$C_2$	$C_2$	$14$	$0$	3.960.1	✓	✓	$1$	\( 3^{2} \)	\(0.041339\)	\(17.410898\)	\(0.719748\)	$[324,46449,-287703,42052608]$	$[81,-1662,48772,297072,328536]$	$[14348907/1352,-1817397/676,329211/338]$	$y^2 + (x^3 + x + 1)y = -x^4 + 2x^3 + 2x^2 - 3x$