LMFDB - Elliptic curves over $\Q$ of conductor 1200

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 (1-50 of 60 matches)

Next 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	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
1200.a1	1200n1	1200.a	1200n	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ 2^{4} \cdot 3^{2} \cdot 5^{9} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.32	2B	$240$	$96$	$1$	$1.928831358$	$1$		$3$	$480$	$0.369467$	$131072/9$	$1.20155$	$4.09601$	$[0, -1, 0, -333, -2088]$	$y^2=x^3-x^2-333x-2088$	2.3.0.a.1, 4.6.0.e.1, 8.12.0.q.1, 10.6.0.a.1, 12.12.0.n.1, $\ldots$	$[(-12, 6)]$
1200.a2	1200n2	1200.a	1200n	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ - 2^{8} \cdot 3^{4} \cdot 5^{9} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.28	2B	$240$	$96$	$1$	$3.857662717$	$1$		$3$	$960$	$0.716041$	$5488/81$	$1.00175$	$4.49068$	$[0, -1, 0, 292, -9588]$	$y^2=x^3-x^2+292x-9588$	2.3.0.a.1, 4.6.0.e.1, 8.12.0.t.1, 20.12.0.l.1, 24.24.0.eb.1, $\ldots$	$[(517, 11750)]$
1200.b1	1200c1	1200.b	1200c	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ - 2^{8} \cdot 3 \cdot 5^{8} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$6$	$2$	$0$	$1$	$1$		$0$	$480$	$0.316010$	$5120/3$	$1.29203$	$3.80272$	$[0, -1, 0, 167, 37]$	$y^2=x^3-x^2+167x+37$	6.2.0.a.1	$[]$
1200.c1	1200k2	1200.c	1200k	$2$	$5$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ - 2^{12} \cdot 3 \cdot 5^{10} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$5$	5.12.0.2	5B.4.2	$60$	$48$	$1$	$1$	$1$		$0$	$1200$	$0.904768$	$-102400/3$	$1.04391$	$5.07726$	$[0, -1, 0, -3333, 77037]$	$y^2=x^3-x^2-3333x+77037$	5.12.0.a.2, 6.2.0.a.1, 20.24.0-5.a.2.2, 30.24.1.d.2, 60.48.1-30.d.2.4	$[]$
1200.c2	1200k1	1200.c	1200k	$2$	$5$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ - 2^{12} \cdot 3^{5} \cdot 5^{2} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$5$	5.12.0.1	5B.4.1	$60$	$48$	$1$	$1$	$1$		$0$	$240$	$0.100049$	$20480/243$	$1.13104$	$3.44628$	$[0, -1, 0, 27, -243]$	$y^2=x^3-x^2+27x-243$	5.12.0.a.1, 6.2.0.a.1, 20.24.0-5.a.1.2, 30.24.1.d.1, 60.48.1-30.d.1.4	$[]$
1200.d1	1200a5	1200.d	1200a	$6$	$8$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ 2^{11} \cdot 3^{2} \cdot 5^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.48.0.210	2B	$240$	$192$	$1$	$0.374241721$	$1$		$11$	$1024$	$0.852514$	$3065617154/9$	$1.21059$	$5.51824$	$[0, -1, 0, -9608, 365712]$	$y^2=x^3-x^2-9608x+365712$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.r.1, 16.48.0.l.1, 20.12.0-4.c.1.2, $\ldots$	$[(56, 12)]$
1200.d2	1200a3	1200.d	1200a	$6$	$8$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ 2^{10} \cdot 3 \cdot 5^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.48.0.127	2B	$240$	$192$	$1$	$2.993933771$	$1$		$3$	$512$	$0.505940$	$28756228/3$	$1.05617$	$4.76193$	$[0, -1, 0, -1608, -24288]$	$y^2=x^3-x^2-1608x-24288$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 12.12.0.h.1, 16.48.0.bb.2, $\ldots$	$[(77, 550)]$
1200.d3	1200a4	1200.d	1200a	$6$	$8$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ 2^{10} \cdot 3^{4} \cdot 5^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.48.0.88	2Cs	$120$	$192$	$1$	$0.748483442$	$1$		$15$	$512$	$0.505940$	$1556068/81$	$1.03212$	$4.35056$	$[0, -1, 0, -608, 5712]$	$y^2=x^3-x^2-608x+5712$	2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 20.24.0-4.b.1.3, 24.96.1.bl.2, $\ldots$	$[(8, 36)]$
1200.d4	1200a2	1200.d	1200a	$6$	$8$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ 2^{8} \cdot 3^{2} \cdot 5^{6} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.48.0.138	2Cs	$120$	$192$	$1$	$1.496966885$	$1$		$9$	$256$	$0.159367$	$35152/9$	$0.97255$	$3.62045$	$[0, -1, 0, -108, -288]$	$y^2=x^3-x^2-108x-288$	2.6.0.a.1, 4.12.0.b.1, 8.48.0.h.1, 12.24.0.c.1, 20.24.0-4.b.1.1, $\ldots$	$[(-4, 8)]$
1200.d5	1200a1	1200.d	1200a	$6$	$8$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ - 2^{4} \cdot 3 \cdot 5^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.48.0.150	2B	$240$	$192$	$1$	$2.993933771$	$1$		$3$	$128$	$-0.187207$	$2048/3$	$1.17572$	$2.88853$	$[0, -1, 0, 17, -38]$	$y^2=x^3-x^2+17x-38$	2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.ba.1, 12.12.0.g.1, $\ldots$	$[(18, 76)]$
1200.d6	1200a6	1200.d	1200a	$6$	$8$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ - 2^{11} \cdot 3^{8} \cdot 5^{6} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.48.0.218	2B	$240$	$192$	$1$	$1.496966885$	$1$		$5$	$1024$	$0.852514$	$207646/6561$	$1.15980$	$4.72581$	$[0, -1, 0, 392, 21712]$	$y^2=x^3-x^2+392x+21712$	2.3.0.a.1, 4.6.0.c.1, 8.48.0.m.1, 20.12.0-4.c.1.2, 40.96.0-8.m.1.4, $\ldots$	$[(2, 150)]$
1200.e1	1200j7	1200.e	1200j	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ 2^{12} \cdot 3^{4} \cdot 5^{7} $	$0$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.96.0.124	2B	$480$	$768$	$13$	$1$	$1$		$3$	$6144$	$1.788736$	$1114544804970241/405$	$1.07354$	$7.42187$	$[0, -1, 0, -864008, 309406512]$	$y^2=x^3-x^2-864008x+309406512$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.2.5, 10.6.0.a.1, 16.96.0-16.x.2.6, $\ldots$	$[]$
1200.e2	1200j5	1200.e	1200j	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ 2^{12} \cdot 3^{8} \cdot 5^{8} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.96.0.27	2Cs	$240$	$768$	$13$	$1$	$1$		$3$	$3072$	$1.442162$	$272223782641/164025$	$1.03897$	$6.24877$	$[0, -1, 0, -54008, 4846512]$	$y^2=x^3-x^2-54008x+4846512$	2.6.0.a.1, 4.24.0-4.b.1.2, 8.96.0-8.k.1.8, 20.48.0-20.c.1.4, 40.192.1-40.cc.2.8, $\ldots$	$[]$
1200.e3	1200j8	1200.e	1200j	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ - 2^{12} \cdot 3^{16} \cdot 5^{7} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.96.0.173	2B	$480$	$768$	$13$	$1$	$1$		$1$	$6144$	$1.788736$	$-147281603041/215233605$	$1.05949$	$6.33984$	$[0, -1, 0, -44008, 6686512]$	$y^2=x^3-x^2-44008x+6686512$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.ba.2.3, 16.96.0-16.u.2.6, 20.24.0-20.h.1.1, $\ldots$	$[]$
1200.e4	1200j3	1200.e	1200j	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ 2^{12} \cdot 3 \cdot 5^{7} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	32.96.0.79	2B	$480$	$768$	$13$	$1$	$4$	$2$	$1$	$1536$	$1.095589$	$56667352321/15$	$1.03019$	$6.02742$	$[0, -1, 0, -32008, -2193488]$	$y^2=x^3-x^2-32008x-2193488$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 12.12.0-4.c.1.2, 16.48.0-16.g.1.5, $\ldots$	$[]$
1200.e5	1200j4	1200.e	1200j	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ 2^{12} \cdot 3^{4} \cdot 5^{10} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.96.0.83	2Cs	$240$	$768$	$13$	$1$	$1$		$3$	$1536$	$1.095589$	$111284641/50625$	$1.02534$	$5.14832$	$[0, -1, 0, -4008, 46512]$	$y^2=x^3-x^2-4008x+46512$	2.6.0.a.1, 4.24.0.b.1, 8.96.0-8.b.2.12, 20.48.0-4.b.1.1, 24.192.1-24.n.1.14, $\ldots$	$[]$
1200.e6	1200j2	1200.e	1200j	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ 2^{12} \cdot 3^{2} \cdot 5^{8} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.96.0.61	2Cs	$240$	$768$	$13$	$1$	$1$		$3$	$768$	$0.749015$	$13997521/225$	$0.96230$	$4.85591$	$[0, -1, 0, -2008, -33488]$	$y^2=x^3-x^2-2008x-33488$	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.i.1.11, 12.24.0-4.b.1.2, 16.96.0-16.d.2.9, $\ldots$	$[]$
1200.e7	1200j1	1200.e	1200j	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ - 2^{12} \cdot 3 \cdot 5^{7} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	32.96.0.79	2B	$480$	$768$	$13$	$1$	$1$		$1$	$384$	$0.402442$	$-1/15$	$1.19808$	$3.96853$	$[0, -1, 0, -8, -1488]$	$y^2=x^3-x^2-8x-1488$	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.1.5, $\ldots$	$[]$
1200.e8	1200j6	1200.e	1200j	$8$	$16$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ - 2^{12} \cdot 3^{2} \cdot 5^{14} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.96.0.199	2B	$480$	$768$	$13$	$1$	$1$		$1$	$3072$	$1.442162$	$4733169839/3515625$	$1.05585$	$5.67727$	$[0, -1, 0, 13992, 334512]$	$y^2=x^3-x^2+13992x+334512$	2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 16.96.0-8.n.2.5, 20.24.0-4.d.1.1, $\ldots$	$[]$
1200.f1	1200l2	1200.f	1200l	$2$	$3$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ - 2^{8} \cdot 3 \cdot 5^{8} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$36$	$48$	$0$	$0.860377245$	$1$		$4$	$2160$	$1.059937$	$-30866268160/3$	$1.11642$	$6.00468$	$[0, -1, 0, -30333, 2043537]$	$y^2=x^3-x^2-30333x+2043537$	3.4.0.a.1, 6.8.0.b.1, 12.16.0-6.b.1.2, 18.24.0.c.1, 36.48.0-18.c.1.1	$[(101, 2)]$
1200.f2	1200l1	1200.f	1200l	$2$	$3$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ - 2^{8} \cdot 3^{3} \cdot 5^{8} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$12$	$48$	$0$	$0.286792415$	$1$		$8$	$720$	$0.510630$	$-40960/27$	$1.02991$	$4.20325$	$[0, -1, 0, -333, 3537]$	$y^2=x^3-x^2-333x+3537$	3.4.0.a.1, 6.24.0.c.1, 12.48.0-6.c.1.1	$[(17, 50)]$
1200.g1	1200m4	1200.g	1200m	$4$	$10$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ 2^{17} \cdot 3^{10} \cdot 5^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 5$	2.3.0.1, 5.12.0.1	2B, 5B.4.1	$120$	$288$	$5$	$1.301055121$	$1$		$7$	$1920$	$1.159168$	$502270291349/1889568$	$1.07575$	$5.65417$	$[0, -1, 0, -13248, -580608]$	$y^2=x^3-x^2-13248x-580608$	2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 20.72.0-10.a.2.8, 24.6.0.j.1, $\ldots$	$[(-64, 32)]$
1200.g2	1200m2	1200.g	1200m	$4$	$10$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ 2^{13} \cdot 3^{2} \cdot 5^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 5$	2.3.0.1, 5.12.0.2	2B, 5B.4.2	$120$	$288$	$5$	$0.260211024$	$1$		$11$	$384$	$0.354450$	$131872229/18$	$1.12852$	$4.49127$	$[0, -1, 0, -848, 9792]$	$y^2=x^3-x^2-848x+9792$	2.3.0.a.1, 5.12.0.a.2, 10.36.0.a.1, 20.72.0-10.a.1.10, 24.6.0.j.1, $\ldots$	$[(16, 8)]$
1200.g3	1200m3	1200.g	1200m	$4$	$10$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ - 2^{22} \cdot 3^{5} \cdot 5^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 5$	2.3.0.1, 5.12.0.1	2B, 5B.4.1	$120$	$288$	$5$	$2.602110242$	$1$		$5$	$960$	$0.812595$	$-19465109/248832$	$1.09754$	$4.66421$	$[0, -1, 0, -448, -17408]$	$y^2=x^3-x^2-448x-17408$	2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 20.72.0-10.a.2.8, 24.6.0.j.1, $\ldots$	$[(42, 190)]$
1200.g4	1200m1	1200.g	1200m	$4$	$10$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ - 2^{14} \cdot 3 \cdot 5^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 5$	2.3.0.1, 5.12.0.2	2B, 5B.4.2	$120$	$288$	$5$	$0.520422048$	$1$		$9$	$192$	$0.007876$	$-24389/12$	$1.10339$	$3.36573$	$[0, -1, 0, -48, 192]$	$y^2=x^3-x^2-48x+192$	2.3.0.a.1, 5.12.0.a.2, 10.36.0.a.1, 20.72.0-10.a.1.10, 24.6.0.j.1, $\ldots$	$[(2, 10)]$
1200.h1	1200b2	1200.h	1200b	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ 2^{11} \cdot 3^{6} \cdot 5^{9} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$120$	$12$	$0$	$1$	$1$		$1$	$1920$	$1.092920$	$2060602/729$	$1.01344$	$5.16892$	$[0, -1, 0, -4208, 66912]$	$y^2=x^3-x^2-4208x+66912$	2.3.0.a.1, 24.6.0.j.1, 40.6.0.b.1, 60.6.0.c.1, 120.12.0.?	$[]$
1200.h2	1200b1	1200.h	1200b	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ - 2^{10} \cdot 3^{3} \cdot 5^{9} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$120$	$12$	$0$	$1$	$1$		$1$	$960$	$0.746346$	$27436/27$	$0.95753$	$4.46201$	$[0, -1, 0, 792, 6912]$	$y^2=x^3-x^2+792x+6912$	2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.?	$[]$
1200.i1	1200d1	1200.i	1200d	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ - 2^{8} \cdot 3^{7} \cdot 5^{4} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$6$	$2$	$0$	$1$	$1$		$0$	$672$	$0.357378$	$-8780800/2187$	$1.06525$	$3.99558$	$[0, -1, 0, -233, -1563]$	$y^2=x^3-x^2-233x-1563$	6.2.0.a.1	$[]$
1200.j1	1200h1	1200.j	1200h	$1$	$1$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ - 2^{8} \cdot 3^{7} \cdot 5^{10} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$6$	$2$	$0$	$1$	$1$		$0$	$3360$	$1.162098$	$-8780800/2187$	$1.06525$	$5.35757$	$[0, 1, 0, -5833, -207037]$	$y^2=x^3+x^2-5833x-207037$	6.2.0.a.1	$[]$
1200.k1	1200p8	1200.k	1200p	$8$	$12$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ 2^{15} \cdot 3^{4} \cdot 5^{9} $	$1$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.12.0.7, 3.4.0.1	2B, 3B	$120$	$384$	$5$	$1.344353050$	$1$		$9$	$13824$	$2.062031$	$16778985534208729/81000$	$1.08181$	$7.80433$	$[0, 1, 0, -2133408, 1198675188]$	$y^2=x^3+x^2-2133408x+1198675188$	2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.1, 6.12.0.a.1, 12.48.0-12.g.1.1, $\ldots$	$[(842, 48)]$
1200.k2	1200p7	1200.k	1200p	$8$	$12$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ 2^{15} \cdot 3 \cdot 5^{18} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	8.12.0.6, 3.4.0.1	2B, 3B	$120$	$384$	$5$	$5.377412203$	$1$		$3$	$13824$	$2.062031$	$10316097499609/5859375000$	$1.13600$	$6.76144$	$[0, 1, 0, -181408, 3987188]$	$y^2=x^3+x^2-181408x+3987188$	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, $\ldots$	$[(4, 1806)]$
1200.k3	1200p6	1200.k	1200p	$8$	$12$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ 2^{18} \cdot 3^{2} \cdot 5^{12} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.12.0.1, 3.4.0.1	2Cs, 3B	$120$	$384$	$5$	$2.688706101$	$1$		$7$	$6912$	$1.715458$	$4102915888729/9000000$	$1.05221$	$6.63140$	$[0, 1, 0, -133408, 18675188]$	$y^2=x^3+x^2-133408x+18675188$	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.1.14, $\ldots$	$[(68, 3150)]$
1200.k4	1200p4	1200.k	1200p	$8$	$12$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ 2^{13} \cdot 3^{3} \cdot 5^{10} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	8.12.0.6, 3.4.0.1	2B, 3B	$120$	$384$	$5$	$1.792470734$	$1$		$7$	$4608$	$1.512726$	$2656166199049/33750$	$1.05017$	$6.57007$	$[0, 1, 0, -115408, -15128812]$	$y^2=x^3+x^2-115408x-15128812$	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, $\ldots$	$[(-196, 6)]$
1200.k5	1200p5	1200.k	1200p	$8$	$12$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ 2^{13} \cdot 3^{12} \cdot 5^{7} $	$1$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.12.0.7, 3.4.0.1	2B, 3B	$120$	$384$	$5$	$0.448117683$	$1$		$19$	$4608$	$1.512726$	$35578826569/5314410$	$1.03393$	$5.96177$	$[0, 1, 0, -27408, 1495188]$	$y^2=x^3+x^2-27408x+1495188$	2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.1, 6.12.0.a.1, 12.48.0-12.g.1.1, $\ldots$	$[(42, 648)]$
1200.k6	1200p2	1200.k	1200p	$8$	$12$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ 2^{14} \cdot 3^{6} \cdot 5^{8} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.12.0.1, 3.4.0.1	2Cs, 3B	$120$	$384$	$5$	$0.896235367$	$1$		$15$	$2304$	$1.166153$	$702595369/72900$	$1.00457$	$5.40822$	$[0, 1, 0, -7408, -224812]$	$y^2=x^3+x^2-7408x-224812$	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.2.12, $\ldots$	$[(-52, 150)]$
1200.k7	1200p3	1200.k	1200p	$8$	$12$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ - 2^{24} \cdot 3 \cdot 5^{9} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.12.0.8, 3.4.0.1	2B, 3B	$120$	$384$	$5$	$1.344353050$	$1$		$3$	$3456$	$1.368885$	$-273359449/1536000$	$1.04920$	$5.60951$	$[0, 1, 0, -5408, 499188]$	$y^2=x^3+x^2-5408x+499188$	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.1.5, $\ldots$	$[(-12, 750)]$
1200.k8	1200p1	1200.k	1200p	$8$	$12$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ - 2^{16} \cdot 3^{3} \cdot 5^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 3$	4.12.0.8, 3.4.0.1	2B, 3B	$120$	$384$	$5$	$0.448117683$	$1$		$11$	$1152$	$0.819579$	$357911/2160$	$0.99689$	$4.65526$	$[0, 1, 0, 592, -16812]$	$y^2=x^3+x^2+592x-16812$	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.2.5, $\ldots$	$[(28, 150)]$
1200.l1	1200i2	1200.l	1200i	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ 2^{11} \cdot 3^{6} \cdot 5^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$120$	$12$	$0$	$0.143662203$	$1$		$15$	$384$	$0.288201$	$2060602/729$	$1.01344$	$3.80693$	$[0, 1, 0, -168, 468]$	$y^2=x^3+x^2-168x+468$	2.3.0.a.1, 24.6.0.j.1, 40.6.0.b.1, 60.6.0.c.1, 120.12.0.?	$[(-6, 36)]$
1200.l2	1200i1	1200.l	1200i	$2$	$2$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ - 2^{10} \cdot 3^{3} \cdot 5^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$120$	$12$	$0$	$0.287324406$	$1$		$13$	$192$	$-0.058373$	$27436/27$	$0.95753$	$3.10002$	$[0, 1, 0, 32, 68]$	$y^2=x^3+x^2+32x+68$	2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.?	$[(2, 12)]$
1200.m1	1200q4	1200.m	1200q	$4$	$10$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ 2^{17} \cdot 3^{10} \cdot 5^{9} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 5$	2.3.0.1, 5.12.0.1	2B, 5B.4.1	$120$	$288$	$5$	$1$	$1$		$1$	$9600$	$1.963888$	$502270291349/1889568$	$1.07575$	$7.01616$	$[0, 1, 0, -331208, -73238412]$	$y^2=x^3+x^2-331208x-73238412$	2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 20.72.0-10.a.2.7, 24.6.0.j.1, $\ldots$	$[]$
1200.m2	1200q2	1200.m	1200q	$4$	$10$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ 2^{13} \cdot 3^{2} \cdot 5^{9} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 5$	2.3.0.1, 5.12.0.2	2B, 5B.4.2	$120$	$288$	$5$	$1$	$1$		$1$	$1920$	$1.159168$	$131872229/18$	$1.12852$	$5.85326$	$[0, 1, 0, -21208, 1181588]$	$y^2=x^3+x^2-21208x+1181588$	2.3.0.a.1, 5.12.0.a.2, 10.36.0.a.1, 20.72.0-10.a.1.7, 24.6.0.j.1, $\ldots$	$[]$
1200.m3	1200q3	1200.m	1200q	$4$	$10$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ - 2^{22} \cdot 3^{5} \cdot 5^{9} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 5$	2.3.0.1, 5.12.0.1	2B, 5B.4.1	$120$	$288$	$5$	$1$	$1$		$1$	$4800$	$1.617313$	$-19465109/248832$	$1.09754$	$6.02620$	$[0, 1, 0, -11208, -2198412]$	$y^2=x^3+x^2-11208x-2198412$	2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 20.72.0-10.a.2.7, 24.6.0.j.1, $\ldots$	$[]$
1200.m4	1200q1	1200.m	1200q	$4$	$10$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ - 2^{14} \cdot 3 \cdot 5^{9} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2, 5$	2.3.0.1, 5.12.0.2	2B, 5B.4.2	$120$	$288$	$5$	$1$	$1$		$1$	$960$	$0.812595$	$-24389/12$	$1.10339$	$4.72772$	$[0, 1, 0, -1208, 21588]$	$y^2=x^3+x^2-1208x+21588$	2.3.0.a.1, 5.12.0.a.2, 10.36.0.a.1, 20.72.0-10.a.1.7, 24.6.0.j.1, $\ldots$	$[]$
1200.n1	1200o2	1200.n	1200o	$2$	$3$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ - 2^{8} \cdot 3 \cdot 5^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$180$	$48$	$0$	$0.479997843$	$1$		$2$	$432$	$0.255217$	$-30866268160/3$	$1.11642$	$4.64268$	$[0, 1, 0, -1213, 15863]$	$y^2=x^3+x^2-1213x+15863$	3.4.0.a.1, 6.8.0.b.1, 18.24.0.c.1, 60.16.0-6.b.1.1, 180.48.0.?	$[(19, 6)]$
1200.n2	1200o1	1200.n	1200o	$2$	$3$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ - 2^{8} \cdot 3^{3} \cdot 5^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$3$	3.4.0.1	3B	$60$	$48$	$0$	$0.159999281$	$1$		$6$	$144$	$-0.294089$	$-40960/27$	$1.02991$	$2.84126$	$[0, 1, 0, -13, 23]$	$y^2=x^3+x^2-13x+23$	3.4.0.a.1, 6.24.0.c.1, 60.48.0-6.c.1.2	$[(-1, 6)]$
1200.o1	1200e5	1200.o	1200e	$6$	$8$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ 2^{11} \cdot 3 \cdot 5^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.48.0.88	2B	$240$	$192$	$1$	$1$	$1$		$1$	$3072$	$1.284718$	$1770025017602/75$	$1.12837$	$6.41506$	$[0, 1, 0, -80008, 8683988]$	$y^2=x^3+x^2-80008x+8683988$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 16.48.0-16.f.1.1, 20.12.0-4.c.1.2, $\ldots$	$[]$
1200.o2	1200e3	1200.o	1200e	$6$	$8$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ 2^{10} \cdot 3^{2} \cdot 5^{10} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.48.0.75	2Cs	$120$	$192$	$1$	$1$	$1$		$3$	$1536$	$0.938145$	$868327204/5625$	$1.10029$	$5.24256$	$[0, 1, 0, -5008, 133988]$	$y^2=x^3+x^2-5008x+133988$	2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.1.4, 20.24.0-4.b.1.3, 24.96.0-24.k.1.10, $\ldots$	$[]$
1200.o3	1200e6	1200.o	1200e	$6$	$8$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ - 2^{11} \cdot 3 \cdot 5^{14} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.48.0.146	2B	$240$	$192$	$1$	$1$	$1$		$1$	$3072$	$1.284718$	$-27995042/1171875$	$1.07729$	$5.46169$	$[0, 1, 0, -2008, 295988]$	$y^2=x^3+x^2-2008x+295988$	2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.1, 16.48.0-8.ba.1.8, 20.12.0-4.c.1.2, $\ldots$	$[]$
1200.o4	1200e2	1200.o	1200e	$6$	$8$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ 2^{8} \cdot 3^{4} \cdot 5^{8} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.48.0.15	2Cs	$120$	$192$	$1$	$1$	$1$		$3$	$768$	$0.591571$	$3631696/2025$	$1.02576$	$4.27457$	$[0, 1, 0, -508, -1012]$	$y^2=x^3+x^2-508x-1012$	2.6.0.a.1, 4.24.0-4.b.1.2, 8.48.0-8.d.2.15, 20.48.0-20.c.1.3, 24.96.0-24.p.2.13, $\ldots$	$[]$
1200.o5	1200e1	1200.o	1200e	$6$	$8$	$ 2^{4} \cdot 3 \cdot 5^{2} $	$ 2^{4} \cdot 3^{2} \cdot 5^{7} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	16.48.0.52	2B	$240$	$192$	$1$	$1$	$1$		$1$	$384$	$0.244997$	$24918016/45$	$0.99237$	$4.15515$	$[0, 1, 0, -383, -3012]$	$y^2=x^3+x^2-383x-3012$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.10, 10.6.0.a.1, 16.48.0-16.f.2.6, $\ldots$	$[]$

Next 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 (1-50 of 60 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 (1-50 of 60 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