Genus 2 curves in isogeny class 4336.a of discriminant 138752

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
4336.a.138752.1	4336.a	\( 2^{4} \cdot 271 \)	\( 2^{9} \cdot 271 \)	$0$	$1$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$3$	✓	✓	$C_2$	$C_2$	$0$	$0$	3.80.2			$2$	\( 1 \)	\(1.000000\)	\(0.376283\)	\(0.752566\)	$[12440,748636,21969201218,-17344]$	$[12440,5948976,-13347212816,-50357410719904,-138752]$	$[-581878004510200000/271,-22368321536682000/271,4034236783676050/271]$	$y^2 + (x + 1)y = -11x^6 + 6x^5 + 22x^4 - 16x^3 - 6x^2 + 11x - 5$