Elliptic curve search results

Results (4 matches)

 

Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
67830.s4	67830p2	67830.s	67830p	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 19 \)	\( 2^{6} \cdot 3^{12} \cdot 5^{2} \cdot 7^{2} \cdot 17^{6} \cdot 19^{2} \)	$1$	$\Z/2\Z\oplus\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	8.12.0.1, 3.8.0.1	2Cs, 3B.1.1	$271320$	$384$	$5$	$5.290735247$	$1$		$14$	$9953280$	$3.273132$	$660866552951225193140994678169/363054521201227329600$	$1.00467$	$6.17212$	$[1, 0, 1, -181466594, 940883727476]$	\(y^2+xy+y=x^3-181466594x+940883727476\)	2.6.0.a.1, 3.8.0-3.a.1.2, 6.48.0-6.a.1.1, 8.12.0-2.a.1.1, 24.96.0-24.o.1.15, $\ldots$	$[(-15042, 524368)]$
203490.ee4	203490g2	203490.ee	203490g	$8$	$12$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \cdot 19 \)	\( 2^{6} \cdot 3^{18} \cdot 5^{2} \cdot 7^{2} \cdot 17^{6} \cdot 19^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.8.0.2	2Cs, 3B.1.2	$271320$	$384$	$5$	$1$	$9$	$3$	$2$	$79626240$	$3.822437$	$660866552951225193140994678169/363054521201227329600$	$1.00467$	$6.15665$	$[1, -1, 1, -1633199342, -25403860641859]$	\(y^2+xy+y=x^3-x^2-1633199342x-25403860641859\)	2.6.0.a.1, 3.8.0-3.a.1.1, 6.48.0-6.a.1.2, 24.96.0-24.o.1.31, 280.12.0.?, $\ldots$	$[]$
339150.df4	339150df2	339150.df	339150df	$8$	$12$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17 \cdot 19 \)	\( 2^{6} \cdot 3^{12} \cdot 5^{8} \cdot 7^{2} \cdot 17^{6} \cdot 19^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$271320$	$384$	$5$	$6.508749217$	$1$		$4$	$238878720$	$4.077850$	$660866552951225193140994678169/363054521201227329600$	$1.00467$	$6.15037$	$[1, 1, 1, -4536664838, 117610465934531]$	\(y^2+xy+y=x^3+x^2-4536664838x+117610465934531\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 15.8.0-3.a.1.2, 24.48.0.o.1, $\ldots$	$[(-9185, 12594467)]$
474810.ba4	474810ba2	474810.ba	474810ba	$8$	$12$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17 \cdot 19 \)	\( 2^{6} \cdot 3^{12} \cdot 5^{2} \cdot 7^{8} \cdot 17^{6} \cdot 19^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.6.0.1, 3.4.0.1	2Cs, 3B	$271320$	$384$	$5$	$41.47011549$	$1$		$2$	$477757440$	$4.246086$	$660866552951225193140994678169/363054521201227329600$	$1.00467$	$6.14650$	$[1, 1, 0, -8891863082, -322732010387436]$	\(y^2+xy=x^3+x^2-8891863082x-322732010387436\)	2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 20.12.0-2.a.1.1, 21.8.0-3.a.1.1, $\ldots$	$[(232994430606597189820/3803567, 3555959057684613065252235992106/3803567)]$