Genus 2 curves of conductor 100017

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
100017.a.300051.1	100017.a	\( 3^{2} \cdot 11113 \)	\( 3^{3} \cdot 11113 \)	$0$	$0$	$\Z/3\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2,3$	✓	✓	$C_2$	$C_2$	$2$	$0$	2.10.1, 3.80.1	✓	✓	$1$	\( 3 \)	\(1.000000\)	\(8.897841\)	\(2.965947\)	$[452,-1271,892565,38406528]$	$[113,585,-10719,-388368,300051]$	$[18424351793/300051,93788305/33339,-5069293/11113]$	$y^2 + (x^3 + x + 1)y = x^3 + x - 1$