Genus 2 curves of conductor 7529

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
7529.a.7529.1	7529.a	\( 7529 \)	\( -7529 \)	$2$	$2$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$10$	$0$	2.10.1	✓	✓	$1$	\( 1 \)	\(0.018195\)	\(19.214379\)	\(0.349605\)	$[268,4201,296203,963712]$	$[67,12,-160,-2716,7529]$	$[1350125107/7529,3609156/7529,-718240/7529]$	$y^2 + (x^3 + x^2 + x)y = x^2 + 2x + 1$