Genus 2 curves of conductor 100076

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
100076.a.200152.1	100076.a	\( 2^{2} \cdot 127 \cdot 197 \)	\( 2^{3} \cdot 127 \cdot 197 \)	$2$	$2$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$		✓	✓	$C_2$	$C_2$	$10$	$0$		✓	✓	$1$	\( 3 \)	\(0.035574\)	\(13.929680\)	\(1.486586\)	$[3940,-86399,-183508255,25619456]$	$[985,44026,3775940,445253056,200152]$	$[4706682753125/1016,106787814625/508,4649126125/254]$	$y^2 + (x^3 + x + 1)y = -6x^4 + 10x^3 - 2x^2$