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
100000.a.200000.1	100000.a	\( 2^{5} \cdot 5^{5} \)	\( 2^{6} \cdot 5^{5} \)	$0$	$0$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$	$2,5$	✓	✓	$C_2$	$C_2$	$1$	$1$	2.36.1	✓	✓	$1$	\( 2 \)	\(1.000000\)	\(2.393619\)	\(4.787238\)	$[220,-320,-27640,8]$	$[1100,55750,4522500,466671875,200000]$	$[8052550000,371016250,27361125]$	$y^2 + y = 2x^5 + 5x^3 - 10x^2 + 5x - 1$