Genus 2 curves in isogeny class 1472.a of discriminant 5888

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
1472.a.5888.1	1472.a	\( 2^{6} \cdot 23 \)	\( - 2^{8} \cdot 23 \)	$0$	$2$	$\Z/2\Z\oplus\Z/4\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$3$	$3$	2.120.3	✓	✓	$1$	\( 2 \)	\(1.000000\)	\(15.717638\)	\(0.491176\)	$[2,-56,74,23]$	$[4,150,-692,-6317,5888]$	$[4/23,75/46,-173/92]$	$y^2 = x^5 + x^4 - x^3 - 2x^2 - x$