Elliptic curve search results

Results (12 matches)

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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
12090.o3	12090p2	12090.o	12090p	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 31 \)	\( 2^{3} \cdot 3^{6} \cdot 5 \cdot 13^{6} \cdot 31^{2} \)	$0$	$\Z/6\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2, 3$	2.3.0.1, 3.8.0.1	2B, 3B.1.1	$48360$	$96$	$1$	$1$	$1$		$4$	$76032$	$1.500500$	$6322686217296773689/135260510172840$	$0.95235$	$4.60533$	$[1, 0, 1, -38524, 2852786]$	\(y^2+xy+y=x^3-38524x+2852786\)	2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 40.6.0.b.1, 120.48.0.?, $\ldots$	$[ ]$
36270.cb3	36270cc2	36270.cb	36270cc	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 31 \)	\( 2^{3} \cdot 3^{12} \cdot 5 \cdot 13^{6} \cdot 31^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.8.0.2	2B, 3B.1.2	$48360$	$96$	$1$	$1$	$1$		$0$	$608256$	$2.049809$	$6322686217296773689/135260510172840$	$0.95235$	$4.75127$	$[1, -1, 1, -346712, -77025229]$	\(y^2+xy+y=x^3-x^2-346712x-77025229\)	2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 40.6.0.b.1, 120.48.0.?, $\ldots$	$[ ]$
60450.br3	60450bx2	60450.br	60450bx	$4$	$6$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \cdot 31 \)	\( 2^{3} \cdot 3^{6} \cdot 5^{7} \cdot 13^{6} \cdot 31^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$48360$	$96$	$1$	$1.054045297$	$1$		$6$	$1824768$	$2.305218$	$6322686217296773689/135260510172840$	$0.95235$	$4.80921$	$[1, 1, 1, -963088, 356598281]$	\(y^2+xy+y=x^3+x^2-963088x+356598281\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 24.24.0-6.a.1.5, $\ldots$	$[(-85, 20967)]$
96720.j3	96720bp2	96720.j	96720bp	$4$	$6$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 31 \)	\( 2^{15} \cdot 3^{6} \cdot 5 \cdot 13^{6} \cdot 31^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$48360$	$96$	$1$	$2.146666766$	$1$		$3$	$1824768$	$2.193649$	$6322686217296773689/135260510172840$	$0.95235$	$4.49568$	$[0, -1, 0, -616376, -182578320]$	\(y^2=x^3-x^2-616376x-182578320\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 40.6.0.b.1, $\ldots$	$[(-499, 702)]$
157170.db3	157170d2	157170.db	157170d	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 31 \)	\( 2^{3} \cdot 3^{6} \cdot 5 \cdot 13^{12} \cdot 31^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$48360$	$96$	$1$	$1$	$1$		$0$	$12773376$	$2.782974$	$6322686217296773689/135260510172840$	$0.95235$	$4.90430$	$[1, 0, 0, -6510475, 6274081865]$	\(y^2+xy=x^3-6510475x+6274081865\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 39.8.0-3.a.1.1, 40.6.0.b.1, $\ldots$	$[ ]$
181350.t3	181350do2	181350.t	181350do	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 31 \)	\( 2^{3} \cdot 3^{12} \cdot 5^{7} \cdot 13^{6} \cdot 31^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$48360$	$96$	$1$	$7.069257669$	$1$		$0$	$14598144$	$2.854527$	$6322686217296773689/135260510172840$	$0.95235$	$4.91725$	$[1, -1, 0, -8667792, -9636821384]$	\(y^2+xy=x^3-x^2-8667792x-9636821384\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 24.24.0-6.a.1.13, $\ldots$	$[(-184315/11, 8339629/11)]$
290160.dq3	290160dq2	290160.dq	290160dq	$4$	$6$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 31 \)	\( 2^{15} \cdot 3^{12} \cdot 5 \cdot 13^{6} \cdot 31^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$48360$	$96$	$1$	$0.730434457$	$1$		$7$	$14598144$	$2.742954$	$6322686217296773689/135260510172840$	$0.95235$	$4.62707$	$[0, 0, 0, -5547387, 4935162026]$	\(y^2=x^3-5547387x+4935162026\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 40.6.0.b.1, $\ldots$	$[(445, 50544)]$
374790.n3	374790n2	374790.n	374790n	$4$	$6$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 31^{2} \)	\( 2^{3} \cdot 3^{6} \cdot 5 \cdot 13^{6} \cdot 31^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$48360$	$96$	$1$	$1$	$9$	$3$	$0$	$72990720$	$3.217495$	$6322686217296773689/135260510172840$	$0.95235$	$4.97849$	$[1, 1, 0, -37021103, -85098418467]$	\(y^2+xy=x^3+x^2-37021103x-85098418467\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 40.6.0.b.1, 93.8.0.?, $\ldots$	$[ ]$
386880.du3	386880du2	386880.du	386880du	$4$	$6$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 31 \)	\( 2^{21} \cdot 3^{6} \cdot 5 \cdot 13^{6} \cdot 31^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$48360$	$96$	$1$	$5.659286914$	$1$		$1$	$14598144$	$2.540222$	$6322686217296773689/135260510172840$	$0.95235$	$4.33452$	$[0, -1, 0, -2465505, 1463092065]$	\(y^2=x^3-x^2-2465505x+1463092065\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 30.24.0-6.a.1.3, $\ldots$	$[(113913/7, 31230144/7)]$
386880.hg3	386880hg2	386880.hg	386880hg	$4$	$6$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 31 \)	\( 2^{21} \cdot 3^{6} \cdot 5 \cdot 13^{6} \cdot 31^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$48360$	$96$	$1$	$1$	$1$		$1$	$14598144$	$2.540222$	$6322686217296773689/135260510172840$	$0.95235$	$4.33452$	$[0, 1, 0, -2465505, -1463092065]$	\(y^2=x^3+x^2-2465505x-1463092065\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 40.6.0.b.1, $\ldots$	$[ ]$
471510.f3	471510f2	471510.f	471510f	$4$	$6$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 31 \)	\( 2^{3} \cdot 3^{12} \cdot 5 \cdot 13^{12} \cdot 31^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$48360$	$96$	$1$	$1$	$1$		$0$	$102187008$	$3.332283$	$6322686217296773689/135260510172840$	$0.95235$	$4.99645$	$[1, -1, 0, -58594275, -169400210355]$	\(y^2+xy=x^3-x^2-58594275x-169400210355\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 39.8.0-3.a.1.2, 40.6.0.b.1, $\ldots$	$[ ]$
483600.hb3	483600hb2	483600.hb	483600hb	$4$	$6$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 31 \)	\( 2^{15} \cdot 3^{6} \cdot 5^{7} \cdot 13^{6} \cdot 31^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$48360$	$96$	$1$	$2.053845041$	$1$		$7$	$43794432$	$2.998367$	$6322686217296773689/135260510172840$	$0.95235$	$4.68065$	$[0, 1, 0, -15409408, -22853108812]$	\(y^2=x^3+x^2-15409408x-22853108812\)	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.12, 40.6.0.b.1, $\ldots$	$[(-2452, 13950)]$

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