Genus 2 curve search results

Results (4 matches)

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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
2916.b.11664.1	2916.b	$2^{2} \cdot 3^{6}$	$- 2^{4} \cdot 3^{6}$	$0$	$0$	$\Z/3\Z\oplus\Z/3\Z$	$\mathrm{M}_2(\mathsf{CM})$	$\Q \times \Q$	✓	$D_{3,2}$				$C_2^2$	$C_3:D_4$	$4$	$0$	2.60.2, 3.17280.1	✓	✓	$1$	$3$	$1.000000$	$17.695032$	$0.655372$	$[40,45,555,6]$	$[120,330,-320,-36825,11664]$	$[6400000/3,440000/9,-32000/81]$	$y^2 + y = x^6$
11664.a.11664.1	11664.a	$2^{4} \cdot 3^{6}$	$2^{4} \cdot 3^{6}$	$1$	$1$	$\Z/3\Z$	$\mathrm{M}_2(\mathsf{CM})$	$\Q \times \Q$	✓	$D_{6,2}$				$C_2^2$	$C_3:D_4$	$2$	$0$	2.120.2, 3.8640.7	✓	✓	$1$	$1$	$0.900641$	$10.216231$	$1.022351$	$[40,45,555,6]$	$[120,330,-320,-36825,11664]$	$[6400000/3,440000/9,-32000/81]$	$y^2 + y = -x^6$
20736.i.373248.1	20736.i	$2^{8} \cdot 3^{4}$	$2^{9} \cdot 3^{6}$	$0$	$1$	$\Z/6\Z$	$\mathrm{M}_2(\mathsf{CM})$	$\Q \times \Q$	✓	$D_{2,1}$				$C_2^2$	$C_3:D_4$	$2$	$0$	2.180.4, 3.8640.8	✓	✓	$1$	$2 \cdot 3$	$1.000000$	$7.223967$	$1.203994$	$[40,45,555,6]$	$[240,1320,-2560,-589200,373248]$	$[6400000/3,440000/9,-32000/81]$	$y^2 + x^3y = -2$
20736.k.373248.1	20736.k	$2^{8} \cdot 3^{4}$	$- 2^{9} \cdot 3^{6}$	$1$	$2$	$\Z/6\Z$	$\mathrm{M}_2(\mathsf{CM})$	$\Q \times \Q$	✓	$D_{2,1}$				$C_2^2$	$C_3:D_4$	$6$	$0$	2.180.4, 3.8640.8	✓	✓	$1$	$2^{2} \cdot 3$	$0.326617$	$12.512277$	$1.362242$	$[40,45,555,6]$	$[240,1320,-2560,-589200,373248]$	$[6400000/3,440000/9,-32000/81]$	$y^2 + x^3y = 2$

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