Genus 2 curves in isogeny class 1468.a of discriminant 2936

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
1468.a.2936.1	1468.a	\( 2^{2} \cdot 367 \)	\( - 2^{3} \cdot 367 \)	$1$	$1$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$8$	$0$	2.10.1	✓	✓	$1$	\( 3 \)	\(0.003870\)	\(22.107029\)	\(0.256637\)	$[220,-719,27031,375808]$	$[55,156,-448,-12244,2936]$	$[503284375/2936,6488625/734,-169400/367]$	$y^2 + (x^3 + x + 1)y = -x^5 - x^2$