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
2980.a.381440.1	2980.a	\( 2^{2} \cdot 5 \cdot 149 \)	\( - 2^{9} \cdot 5 \cdot 149 \)	$1$	$2$	$\Z/2\Z$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$10$	$0$	2.15.1	✓	✓	$1$	\( 2^{2} \cdot 3 \)	\(0.010301\)	\(14.543823\)	\(0.449451\)	$[364,1081,1867603,48824320]$	$[91,300,-23056,-547024,381440]$	$[6240321451/381440,11303565/19072,-11932921/23840]$	$y^2 + (x^3 + 1)y = 2x^5 + 3x^4 - x^2 - x$