Genus 2 curves in isogeny class 1408.a of discriminant 180224

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
1408.a.180224.1	1408.a	\( 2^{7} \cdot 11 \)	\( 2^{14} \cdot 11 \)	$0$	$1$	$\Z/6\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2,3$	✓	✓	$C_2$	$C_2$	$3$	$1$	2.60.1, 3.80.1	✓	✓	$1$	\( 2 \)	\(1.000000\)	\(9.349938\)	\(0.519441\)	$[93,744,16206,-22]$	$[372,-2170,17276,429443,-180224]$	$[-6956883693/176,872727345/1408,-37355031/2816]$	$y^2 + (x^3 + x^2 + x + 1)y = x^4 - x^3 - 5x + 1$