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
100162.a.100162.1	100162.a	\( 2 \cdot 61 \cdot 821 \)	\( - 2 \cdot 61 \cdot 821 \)	$2$	$2$	$\mathsf{trivial}$	\(\Q\)	\(\Q\)		$\mathrm{USp}(4)$		✓	✓	$C_2$	$C_2$	$8$	$0$		✓	✓	$1$	\( 1 \)	\(0.174345\)	\(6.880814\)	\(1.199636\)	$[21396,-10503,-75948435,-12820736]$	$[5349,1192596,354674332,118716945663,-100162]$	$[-4378879451923801749/100162,-91260143303221602/50081,-5073935703495966/50081]$	$y^2 + (x^3 + 1)y = x^5 - 2x^4 - 9x^3 + 8x^2 + 20x - 20$