Genus 2 curves in isogeny class 932.a of discriminant 3728

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
932.a.3728.1	932.a	\( 2^{2} \cdot 233 \)	\( - 2^{4} \cdot 233 \)	$1$	$1$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$10$	$0$	2.10.1	✓	✓	$1$	\( 3 \)	\(0.002250\)	\(25.168364\)	\(0.169871\)	$[8,229,527,-466]$	$[8,-150,-128,-5881,-3728]$	$[-2048/233,4800/233,512/233]$	$y^2 + y = x^6 - 2x^5 + x^4 + x^2 - x$