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
4128.b.594432.1	4128.b	\( 2^{5} \cdot 3 \cdot 43 \)	\( - 2^{9} \cdot 3^{3} \cdot 43 \)	$1$	$1$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2$	✓	✓	$C_2$	$C_2$	$10$	$0$	2.10.1	✓	✓	$1$	\( 2^{3} \cdot 3 \)	\(0.001730\)	\(13.796533\)	\(0.572872\)	$[108,1641,49131,74304]$	$[108,-608,-7936,-306688,594432]$	$[1062882/43,-55404/43,-6696/43]$	$y^2 + y = x^6 - x^3 + x^2 + x$