Genus 2 curves in isogeny class 601179.a of discriminant 601179

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
601179.a.601179.1	601179.a	\( 3 \cdot 19 \cdot 53 \cdot 199 \)	\( - 3 \cdot 19 \cdot 53 \cdot 199 \)	$1$	$2$	$\Z/2\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$2$	$0$	2.15.1	✓	✓	$1$	\( 1 \)	\(9.669522\)	\(2.618640\)	\(6.330250\)	$[53920,13504,155932807,-2404716]$	$[26960,30282816,45359828977,76463011082516,-601179]$	$[-14242933261785497600000/601179,-197803816433057792000/200393,-32969410669369043200/601179]$	$y^2 + (x^2 + 1)y = -x^6 + 10x^4 - x^3 - 34x^2 + 4x + 33$