Genus 2 curve search results

Results (displaying both matches)

 

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
72900.a.291600.1	72900.a	\( 2^{2} \cdot 3^{6} \cdot 5^{2} \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{2} \)	$1$	$1$	$\Z/3\Z$	\(\mathrm{M}_2(\Q)\)	\(\Q\)		$J(E_6)$		✓		$C_2$	$D_6$	$4$	$0$	2.20.3, 3.2880.1	✓	✓	$1$	\( 3 \)	\(0.563877\)	\(10.315182\)	\(1.938833\)	$[184,1845,87015,150]$	$[552,1626,-1616,-883977,291600]$	$[13181630464/75,211024448/225,-3419456/2025]$	$y^2 + y = x^6 - 2x^3 + 1$
72900.b.291600.1	72900.b	\( 2^{2} \cdot 3^{6} \cdot 5^{2} \)	\( - 2^{4} \cdot 3^{6} \cdot 5^{2} \)	$0$	$0$	$\Z/3\Z$	\(\mathrm{M}_2(\Q)\)	\(\Q\)		$J(E_6)$		✓		$C_2$	$D_6$	$2$	$0$	2.20.3, 3.8640.7	✓	✓	$1$	\( 1 \)	\(1.000000\)	\(10.315182\)	\(1.146131\)	$[184,1845,87015,150]$	$[552,1626,-1616,-883977,291600]$	$[13181630464/75,211024448/225,-3419456/2025]$	$y^2 + x^3y = 2x^3 + 5$