Elliptic curves over $\Q$ of conductor 4840

Results (19 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
4840.a1	4840e2	4840.a	4840e	$2$	$2$	\( 2^{3} \cdot 5 \cdot 11^{2} \)	\( 2^{10} \cdot 5^{2} \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$1$		$1$	$12672$	$1.420359$	$821516/25$	$0.82838$	$4.96560$	$[0, 1, 0, -26176, -1595376]$	\(y^2=x^3+x^2-26176x-1595376\)	2.3.0.a.1, 20.6.0.e.1, 44.6.0.a.1, 220.12.0.?	$[]$
4840.a2	4840e1	4840.a	4840e	$2$	$2$	\( 2^{3} \cdot 5 \cdot 11^{2} \)	\( - 2^{8} \cdot 5 \cdot 11^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$1$		$1$	$6336$	$1.073786$	$16/5$	$0.81234$	$4.26517$	$[0, 1, 0, 444, -83360]$	\(y^2=x^3+x^2+444x-83360\)	2.3.0.a.1, 20.6.0.e.1, 44.6.0.b.1, 110.6.0.?, 220.12.0.?	$[]$
4840.b1	4840b2	4840.b	4840b	$2$	$2$	\( 2^{3} \cdot 5 \cdot 11^{2} \)	\( 2^{10} \cdot 5^{2} \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$0.576526909$	$1$		$9$	$1152$	$0.221412$	$821516/25$	$0.82838$	$3.26990$	$[0, 1, 0, -216, 1120]$	\(y^2=x^3+x^2-216x+1120\)	2.3.0.a.1, 20.6.0.e.1, 44.6.0.a.1, 220.12.0.?	$[(-4, 44)]$
4840.b2	4840b1	4840.b	4840b	$2$	$2$	\( 2^{3} \cdot 5 \cdot 11^{2} \)	\( - 2^{8} \cdot 5 \cdot 11^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1.153053819$	$1$		$5$	$576$	$-0.125162$	$16/5$	$0.81234$	$2.56948$	$[0, 1, 0, 4, 64]$	\(y^2=x^3+x^2+4x+64\)	2.3.0.a.1, 20.6.0.e.1, 44.6.0.b.1, 110.6.0.?, 220.12.0.?	$[(0, 8)]$
4840.c1	4840f1	4840.c	4840f	$2$	$2$	\( 2^{3} \cdot 5 \cdot 11^{2} \)	\( 2^{4} \cdot 5^{3} \cdot 11^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1.951595981$	$1$		$3$	$5760$	$0.998522$	$379275264/15125$	$1.01554$	$4.35064$	$[0, 0, 0, -4598, 115797]$	\(y^2=x^3-4598x+115797\)	2.3.0.a.1, 10.6.0.a.1, 44.6.0.c.1, 220.12.0.?	$[(-66, 363)]$
4840.c2	4840f2	4840.c	4840f	$2$	$2$	\( 2^{3} \cdot 5 \cdot 11^{2} \)	\( - 2^{8} \cdot 5^{6} \cdot 11^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$0.975797990$	$1$		$5$	$11520$	$1.345095$	$2122416/171875$	$1.06651$	$4.64775$	$[0, 0, 0, 2057, 423258]$	\(y^2=x^3+2057x+423258\)	2.3.0.a.1, 20.6.0.c.1, 22.6.0.a.1, 220.12.0.?	$[(33, 726)]$
4840.d1	4840c2	4840.d	4840c	$2$	$2$	\( 2^{3} \cdot 5 \cdot 11^{2} \)	\( 2^{8} \cdot 5 \cdot 11^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$1$		$1$	$3840$	$0.926879$	$5256144/605$	$0.79186$	$4.17311$	$[0, 0, 0, -2783, 50578]$	\(y^2=x^3-2783x+50578\)	2.3.0.a.1, 10.6.0.a.1, 44.6.0.c.1, 220.12.0.?	$[]$
4840.d2	4840c1	4840.d	4840c	$2$	$2$	\( 2^{3} \cdot 5 \cdot 11^{2} \)	\( - 2^{4} \cdot 5^{2} \cdot 11^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$220$	$12$	$0$	$1$	$1$		$1$	$1920$	$0.580305$	$55296/275$	$0.96856$	$3.54849$	$[0, 0, 0, 242, 3993]$	\(y^2=x^3+242x+3993\)	2.3.0.a.1, 20.6.0.c.1, 22.6.0.a.1, 220.12.0.?	$[]$
4840.e1	4840h3	4840.e	4840h	$4$	$4$	\( 2^{3} \cdot 5 \cdot 11^{2} \)	\( 2^{10} \cdot 5^{3} \cdot 11^{14} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.16	2B	$880$	$192$	$3$	$1$	$1$		$1$	$138240$	$2.467052$	$46424454082884/26794860125$	$1.13955$	$6.22154$	$[0, 0, 0, -913187, 17284366]$	\(y^2=x^3-913187x+17284366\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 10.6.0.a.1, 16.24.0-8.o.1.4, $\ldots$	$[]$
4840.e2	4840h2	4840.e	4840h	$4$	$4$	\( 2^{3} \cdot 5 \cdot 11^{2} \)	\( 2^{8} \cdot 5^{6} \cdot 11^{10} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.33	2Cs	$440$	$192$	$3$	$1$	$1$		$3$	$69120$	$2.120480$	$55537159171536/228765625$	$1.14096$	$6.07927$	$[0, 0, 0, -610687, -183031134]$	\(y^2=x^3-610687x-183031134\)	2.6.0.a.1, 4.12.0.a.1, 8.24.0-4.a.1.3, 20.24.0.b.1, 40.96.0-40.g.1.13, $\ldots$	$[]$
4840.e3	4840h1	4840.e	4840h	$4$	$4$	\( 2^{3} \cdot 5 \cdot 11^{2} \)	\( 2^{4} \cdot 5^{3} \cdot 11^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.16	2B	$880$	$192$	$3$	$1$	$1$		$1$	$34560$	$1.773907$	$885956203616256/15125$	$1.05882$	$6.07892$	$[0, 0, 0, -610082, -183413131]$	\(y^2=x^3-610082x-183413131\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 10.6.0.a.1, 16.24.0-8.o.1.4, $\ldots$	$[]$
4840.e4	4840h4	4840.e	4840h	$4$	$4$	\( 2^{3} \cdot 5 \cdot 11^{2} \)	\( - 2^{10} \cdot 5^{12} \cdot 11^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.9	2B	$880$	$192$	$3$	$1$	$1$		$1$	$138240$	$2.467052$	$-1957960715364/29541015625$	$1.10389$	$6.23716$	$[0, 0, 0, -317867, -358898826]$	\(y^2=x^3-317867x-358898826\)	2.3.0.a.1, 4.24.0-4.d.1.2, 40.48.0-40.w.1.7, 44.48.0-44.d.1.1, 80.96.0.?, $\ldots$	$[]$
4840.f1	4840g3	4840.f	4840g	$4$	$4$	\( 2^{3} \cdot 5 \cdot 11^{2} \)	\( 2^{10} \cdot 5 \cdot 11^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.15	2B	$880$	$192$	$3$	$1$	$1$		$1$	$5120$	$0.996734$	$132304644/5$	$1.13632$	$4.71668$	$[0, 0, 0, -12947, 567006]$	\(y^2=x^3-12947x+567006\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 10.6.0.a.1, 16.24.0.i.1, $\ldots$	$[]$
4840.f2	4840g2	4840.f	4840g	$4$	$4$	\( 2^{3} \cdot 5 \cdot 11^{2} \)	\( 2^{8} \cdot 5^{2} \cdot 11^{6} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.24.0.35	2Cs	$440$	$192$	$3$	$1$	$1$		$3$	$2560$	$0.650160$	$148176/25$	$1.09175$	$3.75250$	$[0, 0, 0, -847, 7986]$	\(y^2=x^3-847x+7986\)	2.6.0.a.1, 4.12.0.a.1, 8.24.0.g.1, 20.24.0.b.1, 40.96.3.bk.1, $\ldots$	$[]$
4840.f3	4840g1	4840.f	4840g	$4$	$4$	\( 2^{3} \cdot 5 \cdot 11^{2} \)	\( 2^{4} \cdot 5 \cdot 11^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	16.24.0.15	2B	$880$	$192$	$3$	$1$	$1$		$1$	$1280$	$0.303586$	$55296/5$	$1.01898$	$3.30955$	$[0, 0, 0, -242, -1331]$	\(y^2=x^3-242x-1331\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 10.6.0.a.1, 16.24.0.i.1, $\ldots$	$[]$
4840.f4	4840g4	4840.f	4840g	$4$	$4$	\( 2^{3} \cdot 5 \cdot 11^{2} \)	\( - 2^{10} \cdot 5^{4} \cdot 11^{6} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.24.0.2	2B	$880$	$192$	$3$	$1$	$1$		$1$	$5120$	$0.996734$	$237276/625$	$1.04671$	$4.12075$	$[0, 0, 0, 1573, 45254]$	\(y^2=x^3+1573x+45254\)	2.3.0.a.1, 4.24.0.c.1, 40.48.1.dk.1, 44.48.0-4.c.1.1, 80.96.3.?, $\ldots$	$[]$
4840.g1	4840d1	4840.g	4840d	$1$	$1$	\( 2^{3} \cdot 5 \cdot 11^{2} \)	\( - 2^{11} \cdot 5^{7} \cdot 11^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$1$		$0$	$4032$	$0.852966$	$453962/78125$	$1.01718$	$3.95251$	$[0, 1, 0, 224, 22240]$	\(y^2=x^3+x^2+224x+22240\)	440.2.0.?	$[]$
4840.h1	4840a1	4840.h	4840a	$1$	$1$	\( 2^{3} \cdot 5 \cdot 11^{2} \)	\( - 2^{11} \cdot 5^{7} \cdot 11^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$15.36907311$	$1$		$0$	$44352$	$2.051914$	$453962/78125$	$1.01718$	$5.64820$	$[0, 1, 0, 27064, -29493136]$	\(y^2=x^3+x^2+27064x-29493136\)	440.2.0.?	$[(125629283/467, 1357202393426/467)]$
4840.i1	4840i1	4840.i	4840i	$1$	$1$	\( 2^{3} \cdot 5 \cdot 11^{2} \)	\( - 2^{11} \cdot 5^{3} \cdot 11^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$440$	$2$	$0$	$1$	$1$		$0$	$17280$	$1.181507$	$-16241202/1375$	$0.86555$	$4.56725$	$[0, 0, 0, -8107, 300806]$	\(y^2=x^3-8107x+300806\)	440.2.0.?	$[]$