Genus 2 curves in isogeny class 100130.a of discriminant 200260

Results (unique match)

  Download displayed columns for results to

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
100130.a.200260.1	100130.a	\( 2 \cdot 5 \cdot 17 \cdot 19 \cdot 31 \)	\( - 2^{2} \cdot 5 \cdot 17 \cdot 19 \cdot 31 \)	$2$	$3$	$\Z/2\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$8$	$0$	2.15.1	✓	✓	$1$	\( 2 \)	\(0.128156\)	\(18.886321\)	\(1.210199\)	$[532,218185,-1085371,-25633280]$	$[133,-8354,356384,-5597561,-200260]$	$[-\frac{2190305047}{10540},\frac{517208671}{5270},-\frac{82948376}{2635}]$	$y^2 + (x^2 + x + 1)y = x^6 + 5x^5 + 6x^4 + x^2 + x$

  Download displayed columns for results to