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
1797.a.5391.1	1797.a	\( 3 \cdot 599 \)	\( 3^{2} \cdot 599 \)	$1$	$1$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$7$	$1$	2.6.1	✓	✓	$1$	\( 2 \)	\(0.006312\)	\(20.515245\)	\(0.258986\)	$[1300,-8375,-4993627,690048]$	$[325,4750,117316,3891300,5391]$	$[3625908203125/5391,163058593750/5391,12391502500/5391]$	$y^2 + (x^2 + x + 1)y = x^5 - 4x^4 + 2x^3 + x^2$