LMFDB - Elliptic curves over $\Q$ of conductor 720

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 (46 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
720.a1	720a2	720.a	720a	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ 2^{11} \cdot 3^{3} \cdot 5^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$120$	$12$	$0$	$0.190919584$	$1$	$13$	$128$	$0.012990$	$3721734/25$	$1.06284$	$3.95944$	$[0, 0, 0, -123, 522]$	$y^2=x^3-123x+522$	2.3.0.a.1, 24.6.0.a.1, 40.6.0.e.1, 60.6.0.c.1, 120.12.0.?	$[(1, 20)]$
720.a2	720a1	720.a	720a	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ - 2^{10} \cdot 3^{3} \cdot 5 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$120$	$12$	$0$	$0.381839169$	$1$	$9$	$64$	$-0.333584$	$-108/5$	$1.29203$	$2.93406$	$[0, 0, 0, -3, 18]$	$y^2=x^3-3x+18$	2.3.0.a.1, 24.6.0.d.1, 30.6.0.a.1, 40.6.0.e.1, 120.12.0.?	$[(1, 4)]$
720.b1	720f4	720.b	720f	$4$	$6$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ 2^{13} \cdot 3^{9} \cdot 5^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$120$	$96$	$1$	$1$	$1$	$1$	$1152$	$1.070665$	$57960603/31250$	$1.11205$	$5.48399$	$[0, 0, 0, -3483, 20682]$	$y^2=x^3-3483x+20682$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 24.48.0-24.ca.1.5, $\ldots$	$[]$
720.b2	720f2	720.b	720f	$4$	$6$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ 2^{15} \cdot 3^{3} \cdot 5^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$120$	$96$	$1$	$1$	$1$	$1$	$384$	$0.521359$	$8527173507/200$	$1.05154$	$5.24074$	$[0, 0, 0, -2043, -35542]$	$y^2=x^3-2043x-35542$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 24.48.0-24.ca.1.13, $\ldots$	$[]$
720.b3	720f1	720.b	720f	$4$	$6$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ - 2^{18} \cdot 3^{3} \cdot 5 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$120$	$96$	$1$	$1$	$1$	$1$	$192$	$0.174785$	$-1860867/320$	$0.97305$	$3.99899$	$[0, 0, 0, -123, -598]$	$y^2=x^3-123x-598$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 24.48.0-24.cd.1.1, $\ldots$	$[]$
720.b4	720f3	720.b	720f	$4$	$6$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ - 2^{14} \cdot 3^{9} \cdot 5^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$120$	$96$	$1$	$1$	$1$	$1$	$576$	$0.724092$	$804357/500$	$1.08207$	$4.83384$	$[0, 0, 0, 837, 2538]$	$y^2=x^3+837x+2538$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 24.48.0-24.cd.1.5, $\ldots$	$[]$
720.c1	720h7	720.c	720h	$8$	$16$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ 2^{12} \cdot 3^{10} \cdot 5 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	32.96.0.51	2B	$480$	$768$	$13$	$5.201251375$	$1$	$3$	$2048$	$1.533323$	$1114544804970241/405$	$1.07354$	$7.53226$	$[0, 0, 0, -311043, -66769598]$	$y^2=x^3-311043x-66769598$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 12.12.0-4.c.1.2, $\ldots$	$[(767, 12078)]$
720.c2	720h5	720.c	720h	$8$	$16$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ 2^{12} \cdot 3^{14} \cdot 5^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.96.0.56	2Cs	$240$	$768$	$13$	$2.600625687$	$1$	$9$	$1024$	$1.186749$	$272223782641/164025$	$1.03897$	$6.26809$	$[0, 0, 0, -19443, -1042958]$	$y^2=x^3-19443x-1042958$	2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 12.24.0-4.b.1.3, 16.96.0-8.k.1.2, $\ldots$	$[(-81, 22)]$
720.c3	720h8	720.c	720h	$8$	$16$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ - 2^{12} \cdot 3^{22} \cdot 5 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	32.96.0.67	2B	$480$	$768$	$13$	$5.201251375$	$1$	$3$	$2048$	$1.533323$	$-147281603041/215233605$	$1.05949$	$6.36623$	$[0, 0, 0, -15843, -1441118]$	$y^2=x^3-15843x-1441118$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 12.12.0-4.c.1.2, 16.48.0.u.2, $\ldots$	$[(279, 3982)]$
720.c4	720h4	720.c	720h	$8$	$16$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ 2^{12} \cdot 3^{7} \cdot 5 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	32.96.0.31	2B	$480$	$768$	$13$	$1.300312843$	$1$	$5$	$512$	$0.840176$	$56667352321/15$	$1.03019$	$6.02955$	$[0, 0, 0, -11523, 476098]$	$y^2=x^3-11523x+476098$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 12.12.0-4.c.1.1, 16.48.0-16.g.1.16, $\ldots$	$[(63, 14)]$
720.c5	720h3	720.c	720h	$8$	$16$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ 2^{12} \cdot 3^{10} \cdot 5^{4} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.96.0.87	2Cs	$240$	$768$	$13$	$1.300312843$	$1$	$13$	$512$	$0.840176$	$111284641/50625$	$1.02534$	$5.08220$	$[0, 0, 0, -1443, -9758]$	$y^2=x^3-1443x-9758$	2.6.0.a.1, 4.24.0.b.1, 8.96.0-8.b.2.6, 12.48.0-4.b.1.1, 24.192.1-24.n.1.3, $\ldots$	$[(-9, 50)]$
720.c6	720h2	720.c	720h	$8$	$16$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ 2^{12} \cdot 3^{8} \cdot 5^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.96.0.33	2Cs	$240$	$768$	$13$	$0.650156421$	$1$	$15$	$256$	$0.493602$	$13997521/225$	$0.96230$	$4.76708$	$[0, 0, 0, -723, 7378]$	$y^2=x^3-723x+7378$	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.i.1.6, 12.24.0-4.b.1.1, 16.96.0-16.d.2.4, $\ldots$	$[(9, 40)]$
720.c7	720h1	720.c	720h	$8$	$16$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ - 2^{12} \cdot 3^{7} \cdot 5 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	32.96.0.77	2B	$480$	$768$	$13$	$0.325078210$	$1$	$11$	$128$	$0.147029$	$-1/15$	$1.19808$	$3.81081$	$[0, 0, 0, -3, 322]$	$y^2=x^3-3x+322$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 12.12.0-4.c.1.1, 16.48.0-16.g.1.12, $\ldots$	$[(-1, 18)]$
720.c8	720h6	720.c	720h	$8$	$16$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ - 2^{12} \cdot 3^{8} \cdot 5^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.96.0.172	2B	$480$	$768$	$13$	$2.600625687$	$1$	$5$	$1024$	$1.186749$	$4733169839/3515625$	$1.05585$	$5.65221$	$[0, 0, 0, 5037, -73262]$	$y^2=x^3+5037x-73262$	2.3.0.a.1, 4.12.0.d.1, 8.96.0-8.n.2.4, 12.24.0-4.d.1.1, 24.192.1-24.cv.2.6, $\ldots$	$[(23, 234)]$
720.d1	720c5	720.d	720c	$6$	$8$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ 2^{11} \cdot 3^{7} \cdot 5^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.48.0.191	2B	$240$	$192$	$1$	$1$	$1$	$1$	$1024$	$1.029305$	$1770025017602/75$	$1.12837$	$6.44728$	$[0, 0, 0, -28803, -1881502]$	$y^2=x^3-28803x-1881502$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.8, 12.12.0-4.c.1.2, 16.48.0-16.f.1.5, $\ldots$	$[]$
720.d2	720c3	720.d	720c	$6$	$8$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ 2^{10} \cdot 3^{8} \cdot 5^{4} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.48.0.134	2Cs	$120$	$192$	$1$	$1$	$1$	$3$	$512$	$0.682732$	$868327204/5625$	$1.10029$	$5.18375$	$[0, 0, 0, -1803, -29302]$	$y^2=x^3-1803x-29302$	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.1.8, 12.24.0-4.b.1.3, 24.96.0-24.k.1.3, $\ldots$	$[]$
720.d3	720c6	720.d	720c	$6$	$8$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ - 2^{11} \cdot 3^{7} \cdot 5^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.48.0.222	2B	$240$	$192$	$1$	$1$	$1$	$1$	$1024$	$1.029305$	$-27995042/1171875$	$1.07729$	$5.41990$	$[0, 0, 0, -723, -64078]$	$y^2=x^3-723x-64078$	2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.ba.1.4, 12.12.0-4.c.1.2, 24.96.0-24.bo.1.8, $\ldots$	$[]$
720.d4	720c2	720.d	720c	$6$	$8$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ 2^{8} \cdot 3^{10} \cdot 5^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.48.0.73	2Cs	$120$	$192$	$1$	$1$	$1$	$3$	$256$	$0.336158$	$3631696/2025$	$1.02576$	$4.14060$	$[0, 0, 0, -183, 182]$	$y^2=x^3-183x+182$	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.2.7, 12.24.0-4.b.1.1, 20.24.0.c.1, $\ldots$	$[]$
720.d5	720c1	720.d	720c	$6$	$8$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ 2^{4} \cdot 3^{8} \cdot 5 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.48.0.91	2B	$240$	$192$	$1$	$1$	$1$	$1$	$128$	$-0.010416$	$24918016/45$	$0.99237$	$4.01191$	$[0, 0, 0, -138, 623]$	$y^2=x^3-138x+623$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 10.6.0.a.1, 12.12.0-4.c.1.1, $\ldots$	$[]$
720.d6	720c4	720.d	720c	$6$	$8$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ - 2^{10} \cdot 3^{14} \cdot 5 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.48.0.135	2B	$240$	$192$	$1$	$1$	$1$	$1$	$512$	$0.682732$	$54607676/32805$	$1.06524$	$4.76328$	$[0, 0, 0, 717, 1442]$	$y^2=x^3+717x+1442$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 12.12.0-4.c.1.1, 16.48.0-8.ba.2.7, $\ldots$	$[]$
720.e1	720d3	720.e	720d	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ 2^{10} \cdot 3^{6} \cdot 5 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.24.0.15	2B	$240$	$192$	$3$	$1$	$1$	$1$	$256$	$0.347092$	$132304644/5$	$1.13632$	$4.89779$	$[0, 0, 0, -963, -11502]$	$y^2=x^3-963x-11502$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 10.6.0.a.1, 12.12.0-4.c.1.2, $\ldots$	$[]$
720.e2	720d2	720.e	720d	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ 2^{8} \cdot 3^{6} \cdot 5^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.35	2Cs	$120$	$192$	$3$	$1$	$1$	$3$	$128$	$0.000519$	$148176/25$	$1.09175$	$3.65437$	$[0, 0, 0, -63, -162]$	$y^2=x^3-63x-162$	2.6.0.a.1, 4.12.0.a.1, 8.24.0.g.1, 12.24.0-4.a.1.1, 20.24.0.b.1, $\ldots$	$[]$
720.e3	720d1	720.e	720d	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ 2^{4} \cdot 3^{6} \cdot 5 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.24.0.15	2B	$240$	$192$	$3$	$1$	$1$	$1$	$64$	$-0.346055$	$55296/5$	$1.01898$	$3.08313$	$[0, 0, 0, -18, 27]$	$y^2=x^3-18x+27$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 10.6.0.a.1, 12.12.0-4.c.1.1, $\ldots$	$[]$
720.e4	720d4	720.e	720d	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ - 2^{10} \cdot 3^{6} \cdot 5^{4} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.24.0.2	2B	$240$	$192$	$3$	$1$	$1$	$1$	$256$	$0.347092$	$237276/625$	$1.04671$	$4.12928$	$[0, 0, 0, 117, -918]$	$y^2=x^3+117x-918$	2.3.0.a.1, 4.24.0.c.1, 12.48.0-4.c.1.1, 40.48.1.dk.1, 80.96.3.?, $\ldots$	$[]$
720.f1	720e3	720.f	720e	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ 2^{11} \cdot 3^{10} \cdot 5 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.6	2B	$120$	$48$	$0$	$1.497536285$	$1$	$7$	$512$	$0.618710$	$546718898/405$	$0.99169$	$5.21879$	$[0, 0, 0, -1947, -33046]$	$y^2=x^3-1947x-33046$	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.y.1.14, 40.24.0-40.v.1.7, $\ldots$	$[(-25, 2)]$
720.f2	720e4	720.f	720e	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ 2^{11} \cdot 3^{7} \cdot 5^{4} $	$1$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.7	2B	$120$	$48$	$0$	$0.374384071$	$1$	$19$	$512$	$0.618710$	$136835858/1875$	$0.97925$	$5.00826$	$[0, 0, 0, -1227, 16346]$	$y^2=x^3-1227x+16346$	2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.s.1.2, 40.24.0-40.bb.1.15, 120.48.0.?	$[(25, 36)]$
720.f3	720e2	720.f	720e	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ 2^{10} \cdot 3^{8} \cdot 5^{2} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.1	2Cs	$120$	$48$	$0$	$0.748768142$	$1$	$15$	$256$	$0.272136$	$470596/225$	$1.13245$	$4.04072$	$[0, 0, 0, -147, -286]$	$y^2=x^3-147x-286$	2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.b.1.1, 40.24.0-40.a.1.6, 60.24.0-60.b.1.4, $\ldots$	$[(-7, 20)]$
720.f4	720e1	720.f	720e	$4$	$4$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ - 2^{8} \cdot 3^{7} \cdot 5 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	4.12.0.8	2B	$120$	$48$	$0$	$1.497536285$	$1$	$5$	$128$	$-0.074438$	$21296/15$	$0.85611$	$3.35952$	$[0, 0, 0, 33, -34]$	$y^2=x^3+33x-34$	2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.y.1.12, 30.6.0.a.1, 40.24.0-40.bb.1.7, $\ldots$	$[(5, 16)]$
720.g1	720g4	720.g	720g	$4$	$6$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ 2^{15} \cdot 3^{9} \cdot 5^{2} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$120$	$96$	$1$	$0.474792425$	$1$	$9$	$1152$	$1.070665$	$8527173507/200$	$1.05154$	$6.24263$	$[0, 0, 0, -18387, 959634]$	$y^2=x^3-18387x+959634$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 24.48.0-24.ca.1.5, $\ldots$	$[(73, 80)]$
720.g2	720g3	720.g	720g	$4$	$6$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ - 2^{18} \cdot 3^{9} \cdot 5 $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$120$	$96$	$1$	$0.949584851$	$1$	$7$	$576$	$0.724092$	$-1860867/320$	$0.97305$	$5.00087$	$[0, 0, 0, -1107, 16146]$	$y^2=x^3-1107x+16146$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 24.48.0-24.cd.1.5, $\ldots$	$[(15, 54)]$
720.g3	720g2	720.g	720g	$4$	$6$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ 2^{13} \cdot 3^{3} \cdot 5^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$120$	$96$	$1$	$0.158264141$	$1$	$15$	$384$	$0.521359$	$57960603/31250$	$1.11205$	$4.48210$	$[0, 0, 0, -387, -766]$	$y^2=x^3-387x-766$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 24.48.0-24.ca.1.13, $\ldots$	$[(-7, 40)]$
720.g4	720g1	720.g	720g	$4$	$6$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ - 2^{14} \cdot 3^{3} \cdot 5^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	2.3.0.1, 3.4.0.1	2B, 3B	$120$	$96$	$1$	$0.316528283$	$1$	$11$	$192$	$0.174785$	$804357/500$	$1.08207$	$3.83196$	$[0, 0, 0, 93, -94]$	$y^2=x^3+93x-94$	2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 24.48.0-24.cd.1.1, $\ldots$	$[(7, 30)]$
720.h1	720i3	720.h	720i	$4$	$6$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ 2^{4} \cdot 3^{6} \cdot 5^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.6.0.3, 3.4.0.1	2B, 3B	$120$	$384$	$9$	$1$	$1$	$1$	$144$	$0.168662$	$488095744/125$	$1.07376$	$4.46408$	$[0, 0, 0, -372, -2761]$	$y^2=x^3-372x-2761$	2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 10.6.0.a.1, $\ldots$	$[]$
720.h2	720i4	720.h	720i	$4$	$6$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ - 2^{8} \cdot 3^{6} \cdot 5^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.6.0.5, 3.4.0.1	2B, 3B	$120$	$384$	$9$	$1$	$1$	$1$	$288$	$0.515236$	$-20720464/15625$	$0.95894$	$4.53208$	$[0, 0, 0, -327, -3454]$	$y^2=x^3-327x-3454$	2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.24.0-6.a.1.1, 12.48.0-12.d.1.3, $\ldots$	$[]$
720.h3	720i1	720.h	720i	$4$	$6$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ 2^{4} \cdot 3^{6} \cdot 5 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.6.0.3, 3.4.0.1	2B, 3B	$120$	$384$	$9$	$1$	$1$	$1$	$48$	$-0.380644$	$16384/5$	$0.95621$	$2.89825$	$[0, 0, 0, -12, 11]$	$y^2=x^3-12x+11$	2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 10.6.0.a.1, $\ldots$	$[]$
720.h4	720i2	720.h	720i	$4$	$6$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ - 2^{8} \cdot 3^{6} \cdot 5^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.6.0.5, 3.4.0.1	2B, 3B	$120$	$384$	$9$	$1$	$1$	$1$	$96$	$-0.034070$	$21296/25$	$0.83964$	$3.36380$	$[0, 0, 0, 33, 74]$	$y^2=x^3+33x+74$	2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.24.0-6.a.1.3, 12.48.0-12.d.1.9, $\ldots$	$[]$
720.i1	720b2	720.i	720b	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ 2^{11} \cdot 3^{9} \cdot 5^{2} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$120$	$12$	$0$	$1$	$1$	$1$	$384$	$0.562296$	$3721734/25$	$1.06284$	$4.96133$	$[0, 0, 0, -1107, -14094]$	$y^2=x^3-1107x-14094$	2.3.0.a.1, 24.6.0.a.1, 40.6.0.e.1, 60.6.0.c.1, 120.12.0.?	$[]$
720.i2	720b1	720.i	720b	$2$	$2$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ - 2^{10} \cdot 3^{9} \cdot 5 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$120$	$12$	$0$	$1$	$1$	$1$	$192$	$0.215723$	$-108/5$	$1.29203$	$3.93594$	$[0, 0, 0, -27, -486]$	$y^2=x^3-27x-486$	2.3.0.a.1, 24.6.0.d.1, 30.6.0.a.1, 40.6.0.e.1, 120.12.0.?	$[]$
720.j1	720j7	720.j	720j	$8$	$12$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ 2^{15} \cdot 3^{10} \cdot 5^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	8.12.0.6, 3.4.0.1	2B, 3B	$120$	$384$	$5$	$1$	$1$	$1$	$4608$	$1.806620$	$16778985534208729/81000$	$1.08181$	$7.94442$	$[0, 0, 0, -768027, -259067446]$	$y^2=x^3-768027x-259067446$	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.5, $\ldots$	$[]$
720.j2	720j8	720.j	720j	$8$	$12$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ 2^{15} \cdot 3^{7} \cdot 5^{12} $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.12.0.7, 3.4.0.1	2B, 3B	$120$	$384$	$5$	$1$	$1$	$3$	$4608$	$1.806620$	$10316097499609/5859375000$	$1.13600$	$6.82056$	$[0, 0, 0, -65307, -874294]$	$y^2=x^3-65307x-874294$	2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.1, 6.12.0.a.1, 12.96.0-12.c.3.8, $\ldots$	$[]$
720.j3	720j6	720.j	720j	$8$	$12$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ 2^{18} \cdot 3^{8} \cdot 5^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.12.0.1, 3.4.0.1	2Cs, 3B	$120$	$384$	$5$	$1$	$1$	$3$	$2304$	$1.460045$	$4102915888729/9000000$	$1.05221$	$6.68042$	$[0, 0, 0, -48027, -4043446]$	$y^2=x^3-48027x-4043446$	2.6.0.a.1, 3.4.0.a.1, 4.12.0-2.a.1.1, 6.24.0.a.1, 12.96.0-12.a.1.11, $\ldots$	$[]$
720.j4	720j5	720.j	720j	$8$	$12$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ 2^{13} \cdot 3^{9} \cdot 5^{4} $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.12.0.7, 3.4.0.1	2B, 3B	$120$	$384$	$5$	$1$	$1$	$3$	$1536$	$1.257313$	$2656166199049/33750$	$1.05017$	$6.61433$	$[0, 0, 0, -41547, 3259514]$	$y^2=x^3-41547x+3259514$	2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.1, 6.12.0.a.1, 12.96.0-12.c.4.8, $\ldots$	$[]$
720.j5	720j4	720.j	720j	$8$	$12$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ 2^{13} \cdot 3^{18} \cdot 5 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	8.12.0.6, 3.4.0.1	2B, 3B	$120$	$384$	$5$	$1$	$1$	$1$	$1536$	$1.257313$	$35578826569/5314410$	$1.03393$	$5.95880$	$[0, 0, 0, -9867, -324934]$	$y^2=x^3-9867x-324934$	2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.5, $\ldots$	$[]$
720.j6	720j2	720.j	720j	$8$	$12$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ 2^{14} \cdot 3^{12} \cdot 5^{2} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.12.0.1, 3.4.0.1	2Cs, 3B	$120$	$384$	$5$	$1$	$1$	$3$	$768$	$0.910740$	$702595369/72900$	$1.00457$	$5.36227$	$[0, 0, 0, -2667, 48026]$	$y^2=x^3-2667x+48026$	2.6.0.a.1, 3.4.0.a.1, 4.12.0-2.a.1.1, 6.24.0.a.1, 12.96.0-12.a.2.5, $\ldots$	$[]$
720.j7	720j3	720.j	720j	$8$	$12$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ - 2^{24} \cdot 3^{7} \cdot 5^{3} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.12.0.8, 3.4.0.1	2B, 3B	$120$	$384$	$5$	$1$	$1$	$1$	$1152$	$1.113472$	$-273359449/1536000$	$1.04920$	$5.57919$	$[0, 0, 0, -1947, -108214]$	$y^2=x^3-1947x-108214$	2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.2, 6.12.0.a.1, 12.96.0-12.c.1.4, $\ldots$	$[]$
720.j8	720j1	720.j	720j	$8$	$12$	$ 2^{4} \cdot 3^{2} \cdot 5 $	$ - 2^{16} \cdot 3^{9} \cdot 5 $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.12.0.8, 3.4.0.1	2B, 3B	$120$	$384$	$5$	$1$	$1$	$1$	$384$	$0.564166$	$357911/2160$	$0.99689$	$4.55085$	$[0, 0, 0, 213, 3674]$	$y^2=x^3+213x+3674$	2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.2, 6.12.0.a.1, 12.96.0-12.c.2.4, $\ldots$	$[]$

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 (46 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 (46 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