Genus 2 curves in isogeny class 1104.b of discriminant 141312

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
1104.b.141312.1	1104.b	\( 2^{4} \cdot 3 \cdot 23 \)	\( - 2^{11} \cdot 3 \cdot 23 \)	$0$	$2$	$\Z/2\Z$	\(\Q \times \Q\)	\(\Q \times \Q\)	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$				$C_2^2$	$C_2^2$	$0$	$0$	2.45.1, 3.90.1			$2$	\( 1 \)	\(1.000000\)	\(0.712625\)	\(0.356313\)	$[14220,9418737,54280328031,17664]$	$[14220,2146192,-16790479872,-60841690970176,141312]$	$[189267815942240625/46,2008843709918625/46,-24026098775400]$	$y^2 + (x^3 + x)y = -x^6 - 3x^4 + 29x^2 - 46$