Genus 2 curves in isogeny class 100224.b of discriminant 601344

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
100224.b.601344.1	100224.b	\( 2^{7} \cdot 3^{3} \cdot 29 \)	\( 2^{8} \cdot 3^{4} \cdot 29 \)	$1$	$2$	$\Z/2\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$5$	$1$	2.60.1	✓	✓	$1$	\( 2^{2} \)	\(0.191301\)	\(10.211931\)	\(1.953550\)	$[120,1368,38520,-2349]$	$[240,-1248,1280,-312576,-601344]$	$[-38400000/29,832000/29,-32000/261]$	$y^2 = x^5 + x^4 - 2x^3 + 4x^2 - 2x + 1$