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
10005.b.450225.1	10005.b	\( 3 \cdot 5 \cdot 23 \cdot 29 \)	\( 3^{3} \cdot 5^{2} \cdot 23 \cdot 29 \)	$2$	$2$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$14$	$0$	2.20.2	✓	✓	$1$	\( 2 \cdot 3 \)	\(0.003683\)	\(16.517374\)	\(0.365023\)	$[444,108777,21372411,-57628800]$	$[111,-4019,-153925,-8309509,-450225]$	$[-624095613/16675,203574407/16675,8428933/2001]$	$y^2 + (x^3 + x + 1)y = -2x^4 + 3x^2 + x + 2$