Genus 2 curves in isogeny class 72900.a of discriminant 291600

Results (unique match)

  Download displayed columns for results to

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	✓	✓	$1$	\( 3 \)	\(0.563877\)	\(10.315182\)	\(1.938833\)	$[184,1845,87015,150]$	$[552,1626,-1616,-883977,291600]$	$[\frac{13181630464}{75},\frac{211024448}{225},-\frac{3419456}{2025}]$	$y^2 + y = x^6 - 2x^3 + 1$

  Download displayed columns for results to