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
148158.a.888948.1	148158.a	\( 2 \cdot 3^{2} \cdot 8231 \)	\( - 2^{2} \cdot 3^{3} \cdot 8231 \)	$3$	$3$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$21$	$1$	2.6.1	✓	✓	$1$	\( 2^{2} \)	\(0.016702\)	\(16.484926\)	\(1.101357\)	$[3060,223785,197168373,-113785344]$	$[765,15060,279316,-3281715,-888948]$	$[-9703835184375/32924,-62428876875/8231,-1513543575/8231]$	$y^2 + (x^3 + 1)y = x^5 - x^4 - 6x^3 + x^2 + 5x$