Genus 2 curves of conductor 100059

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
100059.a.100059.1	100059.a	\( 3 \cdot 33353 \)	\( - 3 \cdot 33353 \)	$1$	$2$	$\Z/2\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$2$	$2$	2.30.3	✓	✓	$1$	\( 1 \)	\(1.120355\)	\(12.224300\)	\(3.423887\)	$[136,-1844,-27327,400236]$	$[68,500,-2041,-97197,100059]$	$[1453933568/100059,157216000/100059,-9437584/100059]$	$y^2 + xy = x^5 - x^3 - x$