Genus 2 curve search results

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
3528.b.338688.1	3528.b	\( 2^{3} \cdot 3^{2} \cdot 7^{2} \)	\( - 2^{8} \cdot 3^{3} \cdot 7^{2} \)	$1$	$1$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$10$	$0$	2.40.3	✓	✓	$1$	\( 2^{2} \cdot 3 \)	\(0.002339\)	\(13.499787\)	\(0.378882\)	$[58,280,4018,1323]$	$[116,-186,-900,-34749,338688]$	$[82044596/1323,-756059/882,-21025/588]$	$y^2 + (x^3 + x^2 + x + 1)y = 2x^4 - x^3 - x$