LMFDB - Elliptic curves over $\Q$ of conductor 1440

Refine search

Conductor	Discriminant	j-invariant	Rank

Bad$\ p$	Curves per isogeny class	Complex multiplication	Torsion

Isogeny class degree	Cyclic isogeny degree	Isogeny class size	Integral points

Analytic order of Ш	$p\ $div$\ $\|Ш\|	Regulator	Reduction	Faltings height

Galois image	Adelic level	Adelic index	Adelic genus

Nonmax$\ \ell$	$abc$ quality	Szpiro ratio

		Sort order	Select

Results (44 matches)

Download displayed columns for results to

Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	Sato-Tate	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
1440.a1	1440e2	1440.a	1440e	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ 2^{9} \cdot 3^{8} \cdot 5 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.24.0.18	2B	$240$	$192$	$3$	$1$	$1$	$1$	$1024$	$0.641625$	$23937672968/45$	$1.01090$	$5.05043$	$[0, 0, 0, -4323, -109402]$	$y^2=x^3-4323x-109402$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.2, 16.24.0-8.o.1.2, $\ldots$	$[]$
1440.a2	1440e3	1440.a	1440e	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ 2^{9} \cdot 3^{14} \cdot 5 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.24.0.18	2B	$240$	$192$	$3$	$1$	$1$	$1$	$1024$	$0.641625$	$111980168/32805$	$0.98174$	$4.31272$	$[0, 0, 0, -723, 5258]$	$y^2=x^3-723x+5258$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.1, 16.24.0-8.o.1.2, $\ldots$	$[]$
1440.a3	1440e1	1440.a	1440e	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ 2^{6} \cdot 3^{10} \cdot 5^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.34	2Cs	$240$	$192$	$3$	$1$	$1$	$3$	$512$	$0.295052$	$48228544/2025$	$1.02099$	$3.91095$	$[0, 0, 0, -273, -1672]$	$y^2=x^3-273x-1672$	2.6.0.a.1, 4.12.0.a.1, 8.24.0-4.a.1.2, 12.24.0-4.a.1.1, 24.48.0-24.j.1.4, $\ldots$	$[]$
1440.a4	1440e4	1440.a	1440e	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ - 2^{12} \cdot 3^{8} \cdot 5^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.75	2B	$240$	$192$	$3$	$1$	$1$	$1$	$1024$	$0.641625$	$85184/5625$	$1.15009$	$4.26136$	$[0, 0, 0, 132, -6208]$	$y^2=x^3+132x-6208$	2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.4, 12.24.0-4.d.1.1, 24.48.0-24.z.1.2, $\ldots$	$[]$
1440.b1	1440a2	1440.b	1440a	$2$	$2$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ 2^{9} \cdot 3^{9} \cdot 5^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$120$	$12$	$0$	$1.050206584$	$1$	$7$	$384$	$0.334668$	$157464/25$	$1.00841$	$3.86293$	$[0, 0, 0, -243, -1242]$	$y^2=x^3-243x-1242$	2.3.0.a.1, 24.6.0.a.1, 40.6.0.e.1, 60.6.0.c.1, 120.12.0.?	$[(21, 54)]$
1440.b2	1440a1	1440.b	1440a	$2$	$2$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ - 2^{6} \cdot 3^{9} \cdot 5 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$120$	$12$	$0$	$2.100413169$	$1$	$5$	$192$	$-0.011906$	$1728/5$	$0.69897$	$3.14716$	$[0, 0, 0, 27, -108]$	$y^2=x^3+27x-108$	2.3.0.a.1, 24.6.0.d.1, 30.6.0.a.1, 40.6.0.e.1, 120.12.0.?	$[(4, 8)]$
1440.c1	1440j3	1440.c	1440j	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ 2^{9} \cdot 3^{7} \cdot 5 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.8	2B	$120$	$48$	$0$	$2.388647473$	$1$	$3$	$512$	$0.425109$	$890277128/15$	$0.98337$	$4.59780$	$[0, 0, 0, -1443, 21098]$	$y^2=x^3-1443x+21098$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.y.1.16, 40.24.0-40.ba.1.6, $\ldots$	$[(26, 34)]$
1440.c2	1440j2	1440.c	1440j	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ 2^{9} \cdot 3^{7} \cdot 5^{4} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.7	2B	$120$	$48$	$0$	$0.597161868$	$1$	$7$	$512$	$0.425109$	$14172488/1875$	$1.11851$	$4.02849$	$[0, 0, 0, -363, -2338]$	$y^2=x^3-363x-2338$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.2, 24.24.0-24.s.1.3, $\ldots$	$[(-11, 18)]$
1440.c3	1440j1	1440.c	1440j	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ 2^{6} \cdot 3^{8} \cdot 5^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.1	2Cs	$120$	$48$	$0$	$1.194323736$	$1$	$11$	$256$	$0.078535$	$1906624/225$	$0.92155$	$3.46672$	$[0, 0, 0, -93, 308]$	$y^2=x^3-93x+308$	2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 20.12.0.a.1, 24.24.0-24.b.1.3, $\ldots$	$[(-1, 20)]$
1440.c4	1440j4	1440.c	1440j	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ - 2^{12} \cdot 3^{10} \cdot 5 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.12	2B	$120$	$48$	$0$	$0.597161868$	$1$	$7$	$512$	$0.425109$	$85184/405$	$1.20074$	$3.88294$	$[0, 0, 0, 132, 1568]$	$y^2=x^3+132x+1568$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.1, 20.12.0.h.1, $\ldots$	$[(-2, 36)]$
1440.d1	1440c2	1440.d	1440c	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ 2^{9} \cdot 3^{7} \cdot 5 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.7	2B	$120$	$48$	$0$	$1$	$1$	$1$	$512$	$0.425109$	$890277128/15$	$0.98337$	$4.59780$	$[0, 0, 0, -1443, -21098]$	$y^2=x^3-1443x-21098$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.y.1.8, 40.24.0-40.ba.1.14, $\ldots$	$[]$
1440.d2	1440c3	1440.d	1440c	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ 2^{9} \cdot 3^{7} \cdot 5^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.8	2B	$120$	$48$	$0$	$1$	$1$	$1$	$512$	$0.425109$	$14172488/1875$	$1.11851$	$4.02849$	$[0, 0, 0, -363, 2338]$	$y^2=x^3-363x+2338$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0-4.c.1.1, 24.24.0-24.s.1.4, $\ldots$	$[]$
1440.d3	1440c1	1440.d	1440c	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ 2^{6} \cdot 3^{8} \cdot 5^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.1	2Cs	$120$	$48$	$0$	$1$	$1$	$3$	$256$	$0.078535$	$1906624/225$	$0.92155$	$3.46672$	$[0, 0, 0, -93, -308]$	$y^2=x^3-93x-308$	2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 20.12.0.a.1, 24.24.0-24.b.1.2, $\ldots$	$[]$
1440.d4	1440c4	1440.d	1440c	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ - 2^{12} \cdot 3^{10} \cdot 5 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.12	2B	$120$	$48$	$0$	$1$	$1$	$1$	$512$	$0.425109$	$85184/405$	$1.20074$	$3.88294$	$[0, 0, 0, 132, -1568]$	$y^2=x^3+132x-1568$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 20.12.0.h.1, $\ldots$	$[]$
1440.e1	1440h2	1440.e	1440h	$2$	$2$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ 2^{9} \cdot 3^{9} \cdot 5^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$120$	$12$	$0$	$1$	$1$	$1$	$384$	$0.334668$	$157464/25$	$1.00841$	$3.86293$	$[0, 0, 0, -243, 1242]$	$y^2=x^3-243x+1242$	2.3.0.a.1, 24.6.0.a.1, 40.6.0.e.1, 60.6.0.c.1, 120.12.0.?	$[]$
1440.e2	1440h1	1440.e	1440h	$2$	$2$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ - 2^{6} \cdot 3^{9} \cdot 5 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$120$	$12$	$0$	$1$	$1$	$1$	$192$	$-0.011906$	$1728/5$	$0.69897$	$3.14716$	$[0, 0, 0, 27, 108]$	$y^2=x^3+27x+108$	2.3.0.a.1, 24.6.0.d.1, 30.6.0.a.1, 40.6.0.e.1, 120.12.0.?	$[]$
1440.f1	1440d3	1440.f	1440d	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ 2^{9} \cdot 3^{8} \cdot 5 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.24.0.18	2B	$240$	$192$	$3$	$1$	$1$	$1$	$1024$	$0.641625$	$23937672968/45$	$1.01090$	$5.05043$	$[0, 0, 0, -4323, 109402]$	$y^2=x^3-4323x+109402$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.1, 16.24.0-8.o.1.2, $\ldots$	$[]$
1440.f2	1440d2	1440.f	1440d	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ 2^{9} \cdot 3^{14} \cdot 5 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.24.0.18	2B	$240$	$192$	$3$	$1$	$1$	$1$	$1024$	$0.641625$	$111980168/32805$	$0.98174$	$4.31272$	$[0, 0, 0, -723, -5258]$	$y^2=x^3-723x-5258$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.2, 16.24.0-8.o.1.2, $\ldots$	$[]$
1440.f3	1440d1	1440.f	1440d	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ 2^{6} \cdot 3^{10} \cdot 5^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.34	2Cs	$240$	$192$	$3$	$1$	$1$	$3$	$512$	$0.295052$	$48228544/2025$	$1.02099$	$3.91095$	$[0, 0, 0, -273, 1672]$	$y^2=x^3-273x+1672$	2.6.0.a.1, 4.12.0.a.1, 8.24.0-4.a.1.2, 12.24.0-4.a.1.1, 24.48.0-24.j.1.4, $\ldots$	$[]$
1440.f4	1440d4	1440.f	1440d	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ - 2^{12} \cdot 3^{8} \cdot 5^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.75	2B	$240$	$192$	$3$	$1$	$1$	$1$	$1024$	$0.641625$	$85184/5625$	$1.15009$	$4.26136$	$[0, 0, 0, 132, 6208]$	$y^2=x^3+132x+6208$	2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.4, 12.24.0-4.d.1.1, 24.48.0-24.z.1.2, $\ldots$	$[]$
1440.g1	1440g2	1440.g	1440g	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ 2^{12} \cdot 3^{9} \cdot 5^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.64	2B	$24$	$48$	$0$	$3.759529025$	$1$	$3$	$3072$	$1.114946$	$1261112198464/675$	$1.05532$	$5.88148$	$[0, 0, 0, -32412, -2245984]$	$y^2=x^3-32412x-2245984$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.m.1.6, 12.24.0-12.h.1.1, 24.48.0-24.bk.1.8	$[(472, 9360)]$
1440.g2	1440g3	1440.g	1440g	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ 2^{9} \cdot 3^{9} \cdot 5^{8} $	$1$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.54	2B	$24$	$48$	$0$	$0.939882256$	$1$	$13$	$3072$	$1.114946$	$26410345352/10546875$	$1.03973$	$5.06394$	$[0, 0, 0, -4467, 63974]$	$y^2=x^3-4467x+63974$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.m.1.8, 24.48.0-24.bi.1.7	$[(13, 90)]$
1440.g3	1440g1	1440.g	1440g	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ 2^{6} \cdot 3^{12} \cdot 5^{4} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.6	2Cs	$24$	$48$	$0$	$1.879764512$	$1$	$9$	$1536$	$0.768373$	$20034997696/455625$	$1.03014$	$4.74002$	$[0, 0, 0, -2037, -34684]$	$y^2=x^3-2037x-34684$	2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.3, 12.24.0-12.a.1.2, 24.48.0-24.f.1.1	$[(-28, 20)]$
1440.g4	1440g4	1440.g	1440g	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ - 2^{9} \cdot 3^{18} \cdot 5^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.106	2B	$24$	$48$	$0$	$3.759529025$	$1$	$3$	$3072$	$1.114946$	$2863288/13286025$	$1.17383$	$5.04467$	$[0, 0, 0, 213, -107134]$	$y^2=x^3+213x-107134$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.d.1.3, 12.12.0-4.c.1.1, 24.48.0-24.n.1.8	$[(62, 380)]$
1440.h1	1440i2	1440.h	1440i	$2$	$2$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ 2^{9} \cdot 3^{3} \cdot 5^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$120$	$12$	$0$	$0.473721235$	$1$	$9$	$128$	$-0.214638$	$157464/25$	$1.00841$	$2.95654$	$[0, 0, 0, -27, 46]$	$y^2=x^3-27x+46$	2.3.0.a.1, 24.6.0.a.1, 40.6.0.e.1, 60.6.0.c.1, 120.12.0.?	$[(5, 6)]$
1440.h2	1440i1	1440.h	1440i	$2$	$2$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ - 2^{6} \cdot 3^{3} \cdot 5 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$120$	$12$	$0$	$0.947442471$	$1$	$5$	$64$	$-0.561212$	$1728/5$	$0.69897$	$2.24076$	$[0, 0, 0, 3, 4]$	$y^2=x^3+3x+4$	2.3.0.a.1, 24.6.0.d.1, 30.6.0.a.1, 40.6.0.e.1, 120.12.0.?	$[(0, 2)]$
1440.i1	1440m1	1440.i	1440m	$2$	$2$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ 2^{6} \cdot 3^{6} \cdot 5 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.3	2B	$120$	$48$	$0$	$1$	$1$	$1$	$192$	$-0.156739$	$438976/5$	$0.87813$	$3.26478$	$[0, 0, 0, -57, -164]$	$y^2=x^3-57x-164$	2.3.0.a.1, 4.6.0.b.1, 10.6.0.a.1, 20.12.0.e.1, 24.12.0-4.b.1.4, $\ldots$	$[]$
1440.i2	1440m2	1440.i	1440m	$2$	$2$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ - 2^{12} \cdot 3^{6} \cdot 5^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.5	2B	$120$	$48$	$0$	$1$	$1$	$1$	$384$	$0.189835$	$-64/25$	$1.09219$	$3.51803$	$[0, 0, 0, -12, -416]$	$y^2=x^3-12x-416$	2.3.0.a.1, 4.6.0.a.1, 20.12.0.d.1, 24.12.0-4.a.1.1, 40.24.0.t.1, $\ldots$	$[]$
1440.j1	1440l2	1440.j	1440l	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ 2^{12} \cdot 3^{7} \cdot 5 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.8	2B	$120$	$48$	$0$	$1$	$1$	$1$	$512$	$0.386038$	$14526784/15$	$1.00337$	$4.31783$	$[0, 0, 0, -732, -7616]$	$y^2=x^3-732x-7616$	2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.bb.1.12, 40.24.0-40.bb.1.7, 60.24.0-60.h.1.1, $\ldots$	$[]$
1440.j2	1440l3	1440.j	1440l	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ 2^{9} \cdot 3^{10} \cdot 5 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.6	2B	$120$	$48$	$0$	$1$	$1$	$1$	$512$	$0.386038$	$38614472/405$	$1.12730$	$4.16632$	$[0, 0, 0, -507, 4354]$	$y^2=x^3-507x+4354$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.bb.1.6, 40.24.0-40.v.1.7, $\ldots$	$[]$
1440.j3	1440l1	1440.j	1440l	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ 2^{6} \cdot 3^{8} \cdot 5^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.1	2Cs	$120$	$48$	$0$	$1$	$1$	$3$	$256$	$0.039465$	$438976/225$	$1.06534$	$3.26478$	$[0, 0, 0, -57, -56]$	$y^2=x^3-57x-56$	2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.a.1.1, 40.24.0-40.a.1.6, 60.24.0-60.a.1.2, $\ldots$	$[]$
1440.j4	1440l4	1440.j	1440l	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ - 2^{9} \cdot 3^{7} \cdot 5^{4} $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.7	2B	$120$	$48$	$0$	$1$	$1$	$3$	$512$	$0.386038$	$2863288/1875$	$0.98987$	$3.80858$	$[0, 0, 0, 213, -434]$	$y^2=x^3+213x-434$	2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.v.1.2, 40.24.0-40.bb.1.15, 120.48.0.?	$[]$
1440.k1	1440k3	1440.k	1440k	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ 2^{12} \cdot 3^{7} \cdot 5 $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.7	2B	$120$	$48$	$0$	$1$	$1$	$3$	$512$	$0.386038$	$14526784/15$	$1.00337$	$4.31783$	$[0, 0, 0, -732, 7616]$	$y^2=x^3-732x+7616$	2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.bb.1.4, 40.24.0-40.bb.1.15, 60.24.0-60.h.1.3, $\ldots$	$[]$
1440.k2	1440k2	1440.k	1440k	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ 2^{9} \cdot 3^{10} \cdot 5 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.6	2B	$120$	$48$	$0$	$1$	$1$	$1$	$512$	$0.386038$	$38614472/405$	$1.12730$	$4.16632$	$[0, 0, 0, -507, -4354]$	$y^2=x^3-507x-4354$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.bb.1.14, 40.24.0-40.v.1.7, $\ldots$	$[]$
1440.k3	1440k1	1440.k	1440k	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ 2^{6} \cdot 3^{8} \cdot 5^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.1	2Cs	$120$	$48$	$0$	$1$	$1$	$3$	$256$	$0.039465$	$438976/225$	$1.06534$	$3.26478$	$[0, 0, 0, -57, 56]$	$y^2=x^3-57x+56$	2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.a.1.4, 40.24.0-40.a.1.6, 60.24.0-60.a.1.1, $\ldots$	$[]$
1440.k4	1440k4	1440.k	1440k	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ - 2^{9} \cdot 3^{7} \cdot 5^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.8	2B	$120$	$48$	$0$	$1$	$1$	$1$	$512$	$0.386038$	$2863288/1875$	$0.98987$	$3.80858$	$[0, 0, 0, 213, 434]$	$y^2=x^3+213x+434$	2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.v.1.1, 40.24.0-40.bb.1.7, 120.48.0.?	$[]$
1440.l1	1440f1	1440.l	1440f	$2$	$2$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ 2^{6} \cdot 3^{6} \cdot 5 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.3	2B	$120$	$48$	$0$	$0.914204462$	$1$	$5$	$192$	$-0.156739$	$438976/5$	$0.87813$	$3.26478$	$[0, 0, 0, -57, 164]$	$y^2=x^3-57x+164$	2.3.0.a.1, 4.6.0.b.1, 10.6.0.a.1, 20.12.0.e.1, 24.12.0-4.b.1.4, $\ldots$	$[(5, 2)]$
1440.l2	1440f2	1440.l	1440f	$2$	$2$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ - 2^{12} \cdot 3^{6} \cdot 5^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.6.0.5	2B	$120$	$48$	$0$	$0.457102231$	$1$	$9$	$384$	$0.189835$	$-64/25$	$1.09219$	$3.51803$	$[0, 0, 0, -12, 416]$	$y^2=x^3-12x+416$	2.3.0.a.1, 4.6.0.a.1, 20.12.0.d.1, 24.12.0-4.a.1.1, 40.24.0.t.1, $\ldots$	$[(2, 20)]$
1440.m1	1440b2	1440.m	1440b	$2$	$2$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ 2^{9} \cdot 3^{3} \cdot 5^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$120$	$12$	$0$	$1$	$1$	$1$	$128$	$-0.214638$	$157464/25$	$1.00841$	$2.95654$	$[0, 0, 0, -27, -46]$	$y^2=x^3-27x-46$	2.3.0.a.1, 24.6.0.a.1, 40.6.0.e.1, 60.6.0.c.1, 120.12.0.?	$[]$
1440.m2	1440b1	1440.m	1440b	$2$	$2$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ - 2^{6} \cdot 3^{3} \cdot 5 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$120$	$12$	$0$	$1$	$1$	$1$	$64$	$-0.561212$	$1728/5$	$0.69897$	$2.24076$	$[0, 0, 0, 3, -4]$	$y^2=x^3+3x-4$	2.3.0.a.1, 24.6.0.d.1, 30.6.0.a.1, 40.6.0.e.1, 120.12.0.?	$[]$
1440.n1	1440n3	1440.n	1440n	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ 2^{12} \cdot 3^{9} \cdot 5^{2} $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.54	2B	$24$	$48$	$0$	$1$	$1$	$3$	$3072$	$1.114946$	$1261112198464/675$	$1.05532$	$5.88148$	$[0, 0, 0, -32412, 2245984]$	$y^2=x^3-32412x+2245984$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.m.1.8, 12.24.0-12.h.1.2, 24.48.0-24.bk.1.5	$[]$
1440.n2	1440n2	1440.n	1440n	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ 2^{9} \cdot 3^{9} \cdot 5^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.64	2B	$24$	$48$	$0$	$1$	$1$	$1$	$3072$	$1.114946$	$26410345352/10546875$	$1.03973$	$5.06394$	$[0, 0, 0, -4467, -63974]$	$y^2=x^3-4467x-63974$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.m.1.6, 24.48.0-24.bi.1.8	$[]$
1440.n3	1440n1	1440.n	1440n	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ 2^{6} \cdot 3^{12} \cdot 5^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.6	2Cs	$24$	$48$	$0$	$1$	$1$	$3$	$1536$	$0.768373$	$20034997696/455625$	$1.03014$	$4.74002$	$[0, 0, 0, -2037, 34684]$	$y^2=x^3-2037x+34684$	2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.3, 12.24.0-12.a.1.1, 24.48.0-24.f.1.4	$[]$
1440.n4	1440n4	1440.n	1440n	$4$	$4$	$ 2^{5} \cdot 3^{2} \cdot 5 $	$ - 2^{9} \cdot 3^{18} \cdot 5^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.106	2B	$24$	$48$	$0$	$1$	$1$	$1$	$3072$	$1.114946$	$2863288/13286025$	$1.17383$	$5.04467$	$[0, 0, 0, 213, 107134]$	$y^2=x^3+213x+107134$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.d.1.3, 12.12.0-4.c.1.2, 24.48.0-24.n.1.6	$[]$

Download displayed columns for results to

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Learn more

Refine search

Results (44 matches)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Learn more

Refine search Advanced search options

Results (44 matches)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Refine search