Genus 2 curves of conductor 104596

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
104596.a.104596.1	104596.a	\( 2^{2} \cdot 79 \cdot 331 \)	\( - 2^{2} \cdot 79 \cdot 331 \)	$1$	$1$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2,3$	✓	✓	$C_2$	$C_2$	$3$	$1$	2.6.1, 3.90.2	✓	✓	$1$	\( 1 \)	\(0.133906\)	\(15.018553\)	\(2.011080\)	$[46132,806977,12063748721,-13388288]$	$[11533,5508463,3491104613,2479936219840,-104596]$	$[-204038188986162092893/104596,-8450011747735026331/104596,-464352135283440557/104596]$	$y^2 + (x^3 + 1)y = -5x^4 + 31x^2 - 4x - 55$