Genus 2 curves in isogeny class 968.a of discriminant 234256

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
968.a.234256.1	968.a	\( 2^{3} \cdot 11^{2} \)	\( - 2^{4} \cdot 11^{4} \)	$1$	$1$	$\Z/5\Z$	\(\Q \times \Q\)	\(\Q \times \Q\)	✓	$\mathrm{SU}(2)\times\mathrm{SU}(2)$				$C_2^2$	$C_2^2$	$4$	$0$	2.60.2, 3.90.1	✓	✓	$1$	\( 2 \cdot 5 \)	\(0.080529\)	\(5.397350\)	\(0.173857\)	$[23544,6117,47655081,29282]$	$[23544,23092586,30194746560,44409396210311,234256]$	$[452148675314325387264/14641,1712381980706754624/1331,785948064456960/11]$	$y^2 + x^3y = 6x^4 + 47x^2 + 121$