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
13006.b.832384.1	13006.b	\( 2 \cdot 7 \cdot 929 \)	\( - 2^{7} \cdot 7 \cdot 929 \)	$2$	$2$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$		✓	✓	$C_2$	$C_2$	$14$	$0$		✓	✓	$1$	\( 7 \)	\(0.005091\)	\(15.777628\)	\(0.562269\)	$[168,13020,467967,-3329536]$	$[84,-1876,9,-879655,-832384]$	$[-4667544/929,1240974/929,-567/7432]$	$y^2 + (x^3 + x)y = -2x^4 + 4x^2 - 3x + 1$