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
2457.a.154791.1	2457.a	\( 3^{3} \cdot 7 \cdot 13 \)	\( - 3^{5} \cdot 7^{2} \cdot 13 \)	$1$	$3$	$\Z/2\Z\oplus\Z/2\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$10$	$2$	2.180.3	✓	✓	$1$	\( 2^{3} \)	\(0.033247\)	\(18.983107\)	\(0.315567\)	$[780,63657,23411115,19813248]$	$[195,-1068,-164320,-8295756,154791]$	$[89253125/49,-7520500/147,-53404000/1323]$	$y^2 + (x^3 + 1)y = x^5 - 3x^3 - x^2 + 2$