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
24704.a.790528.1	24704.a	\( 2^{7} \cdot 193 \)	\( - 2^{12} \cdot 193 \)	$2$	$2$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$14$	$0$	2.10.1	✓	✓	$1$	\( 2^{3} \)	\(0.007472\)	\(15.422385\)	\(0.921871\)	$[24,852,10344,3088]$	$[48,-2176,-43008,-1699840,790528]$	$[62208/193,-58752/193,-24192/193]$	$y^2 + x^3y = 6x^3 + 14x^2 + 12x + 4$