LMFDB - Elliptic curves over $\Q$ of conductor 11616

The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000

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	Manin constant

Intrinsic torsion order

		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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
11616.a1	11616h1	11616.a	11616h	$2$	$2$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ 2^{6} \cdot 3 \cdot 11^{7} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.4	2B	$264$	$12$	$0$	$2.709468400$	$1$		$11$	$11520$	$0.633873$	$1906624/33$	$0.85378$	$3.52635$	$1$	$[0, -1, 0, -1250, -16344]$	$y^2=x^3-x^2-1250x-16344$	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[(70, 484), (-20, 16)]$	$1$
11616.a2	11616h2	11616.a	11616h	$2$	$2$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ - 2^{9} \cdot 3^{2} \cdot 11^{8} $	$2$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.5	2B	$264$	$12$	$0$	$2.709468400$	$1$		$15$	$23040$	$0.980447$	$-8/1089$	$1.19226$	$3.74711$	$1$	$[0, -1, 0, -40, -47804]$	$y^2=x^3-x^2-40x-47804$	2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.?	$[(48, 242), (169, 2178)]$	$1$
11616.b1	11616v1	11616.b	11616v	$1$	$1$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ - 2^{12} \cdot 3 \cdot 11^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$6$	$2$	$0$	$1.267204597$	$1$		$4$	$1920$	$-0.111607$	$-5632/3$	$0.75947$	$2.39338$	$1$	$[0, -1, 0, -29, -75]$	$y^2=x^3-x^2-29x-75$	6.2.0.a.1	$[(7, 4)]$	$1$
11616.c1	11616u2	11616.c	11616u	$2$	$2$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ 2^{12} \cdot 3^{3} \cdot 11^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$132$	$12$	$0$	$2.204027096$	$1$		$3$	$23040$	$1.321384$	$58411072/3267$	$0.96722$	$4.33628$	$1$	$[0, -1, 0, -15649, 721393]$	$y^2=x^3-x^2-15649x+721393$	2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.?	$[(-117, 968)]$	$1$
11616.c2	11616u1	11616.c	11616u	$2$	$2$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ - 2^{6} \cdot 3^{6} \cdot 11^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$132$	$12$	$0$	$1.102013548$	$1$		$5$	$11520$	$0.974811$	$314432/8019$	$1.04398$	$3.73580$	$1$	$[0, -1, 0, 686, 45124]$	$y^2=x^3-x^2+686x+45124$	2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.?	$[(15, 242)]$	$1$
11616.d1	11616t3	11616.d	11616t	$4$	$4$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ 2^{12} \cdot 3^{2} \cdot 11^{7} $	$1$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.54	2B	$88$	$48$	$0$	$2.026001365$	$1$		$9$	$30720$	$1.384169$	$4004529472/99$	$0.97266$	$4.78795$	$1$	$[0, -1, 0, -64049, 6260289]$	$y^2=x^3-x^2-64049x+6260289$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.m.1.8, 44.24.0-44.h.1.2, 88.48.0.?	$[(145, 28)]$	$1$
11616.d2	11616t2	11616.d	11616t	$4$	$4$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ 2^{9} \cdot 3^{8} \cdot 11^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.64	2B	$88$	$48$	$0$	$8.104005460$	$1$		$1$	$30720$	$1.384169$	$649461896/72171$	$0.94560$	$4.37145$	$2$	$[0, -1, 0, -17464, -792680]$	$y^2=x^3-x^2-17464x-792680$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.m.1.6, 88.48.0.?	$[(-2195/6, 44135/6)]$	$1$
11616.d3	11616t1	11616.d	11616t	$4$	$4$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ 2^{6} \cdot 3^{4} \cdot 11^{8} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.6	2Cs	$88$	$48$	$0$	$4.052002730$	$1$		$5$	$15360$	$1.037594$	$69934528/9801$	$0.93038$	$3.91119$	$1$	$[0, -1, 0, -4154, 91104]$	$y^2=x^3-x^2-4154x+91104$	2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.3, 44.24.0-44.a.1.1, 88.48.0.?	$[(-24, 420)]$	$1$
11616.d4	11616t4	11616.d	11616t	$4$	$4$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ - 2^{9} \cdot 3^{2} \cdot 11^{10} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.106	2B	$88$	$48$	$0$	$2.026001365$	$1$		$3$	$30720$	$1.384169$	$37259704/131769$	$0.96426$	$4.24038$	$2$	$[0, -1, 0, 6736, 478788]$	$y^2=x^3-x^2+6736x+478788$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.d.1.3, 44.12.0-4.c.1.2, 88.48.0.?	$[(224, 3630)]$	$1$
11616.e1	11616f1	11616.e	11616f	$1$	$1$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ - 2^{12} \cdot 3 \cdot 11^{8} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$6$	$2$	$0$	$1$	$1$		$0$	$21120$	$1.087341$	$-5632/3$	$0.75947$	$3.93047$	$1$	$[0, -1, 0, -3549, 113973]$	$y^2=x^3-x^2-3549x+113973$	6.2.0.a.1	$[ ]$	$1$
11616.f1	11616b1	11616.f	11616b	$1$	$1$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ - 2^{12} \cdot 3^{2} \cdot 11^{2} $	$2$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2$	4.2.0.1		$264$	$4$	$0$	$0.258399223$	$1$		$16$	$2304$	$0.096512$	$-937024/9$	$1.15752$	$2.87180$	$1$	$[0, -1, 0, -161, 849]$	$y^2=x^3-x^2-161x+849$	4.2.0.a.1, 264.4.0.?	$[(5, 12), (8, 3)]$	$1$
11616.g1	11616r1	11616.g	11616r	$1$	$1$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ - 2^{12} \cdot 3^{2} \cdot 11^{8} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2$	4.2.0.1		$24$	$4$	$0$	$5.058248648$	$1$		$2$	$25344$	$1.295460$	$-937024/9$	$1.15752$	$4.40889$	$1$	$[0, -1, 0, -19521, -1051983]$	$y^2=x^3-x^2-19521x-1051983$	4.2.0.a.1, 24.4.0-4.a.1.1	$[(192, 1497)]$	$1$
11616.h1	11616p2	11616.h	11616p	$2$	$2$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ 2^{9} \cdot 3^{2} \cdot 11^{9} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$1$		$1$	$25344$	$1.282827$	$343000/9$	$0.89964$	$4.33379$	$1$	$[0, -1, 0, -15528, 732888]$	$y^2=x^3-x^2-15528x+732888$	2.3.0.a.1, 24.6.0.i.1, 88.6.0.?, 132.6.0.?, 264.12.0.?	$[ ]$	$1$
11616.h2	11616p1	11616.h	11616p	$2$	$2$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ 2^{6} \cdot 3 \cdot 11^{9} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$1$		$1$	$12672$	$0.936254$	$8000/3$	$0.83260$	$3.71011$	$1$	$[0, -1, 0, -2218, -23120]$	$y^2=x^3-x^2-2218x-23120$	2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[ ]$	$1$
11616.i1	11616q1	11616.i	11616q	$2$	$2$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ 2^{6} \cdot 3^{3} \cdot 11^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.4	2B	$264$	$12$	$0$	$8.840007298$	$1$		$1$	$11520$	$1.023634$	$1643032000/297$	$0.96314$	$4.24845$	$1$	$[0, -1, 0, -11898, -495504]$	$y^2=x^3-x^2-11898x-495504$	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[(5339/5, 322538/5)]$	$1$
11616.i2	11616q2	11616.i	11616q	$2$	$2$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ - 2^{9} \cdot 3^{6} \cdot 11^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.5	2B	$264$	$12$	$0$	$4.420003649$	$1$		$3$	$23040$	$1.370207$	$-148877000/88209$	$1.12203$	$4.28939$	$1$	$[0, -1, 0, -10688, -601500]$	$y^2=x^3-x^2-10688x-601500$	2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.?	$[(800, 22410)]$	$1$
11616.j1	11616a2	11616.j	11616a	$2$	$2$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ 2^{9} \cdot 3^{2} \cdot 11^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$264$	$12$	$0$	$3.128322670$	$1$		$3$	$2304$	$0.083880$	$343000/9$	$0.89964$	$2.79670$	$1$	$[0, -1, 0, -128, -504]$	$y^2=x^3-x^2-128x-504$	2.3.0.a.1, 24.6.0.i.1, 88.6.0.?, 132.6.0.?, 264.12.0.?	$[(125, 1386)]$	$1$
11616.j2	11616a1	11616.j	11616a	$2$	$2$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ 2^{6} \cdot 3 \cdot 11^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$264$	$12$	$0$	$1.564161335$	$1$		$3$	$1152$	$-0.262694$	$8000/3$	$0.83260$	$2.17302$	$1$	$[0, -1, 0, -18, 24]$	$y^2=x^3-x^2-18x+24$	2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[(-4, 4)]$	$1$
11616.k1	11616e3	11616.k	11616e	$4$	$4$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ 2^{9} \cdot 3 \cdot 11^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.11	2B	$264$	$48$	$0$	$1$	$1$		$1$	$10240$	$0.772727$	$7301384/3$	$1.03749$	$3.89196$	$2$	$[0, -1, 0, -3912, 95460]$	$y^2=x^3-x^2-3912x+95460$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 88.24.0.?, $\ldots$	$[ ]$	$1$
11616.k2	11616e2	11616.k	11616e	$4$	$4$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ 2^{12} \cdot 3 \cdot 11^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.11	2B	$264$	$48$	$0$	$1$	$1$		$1$	$10240$	$0.772727$	$140608/3$	$1.02705$	$3.69213$	$2$	$[0, -1, 0, -2097, -35583]$	$y^2=x^3-x^2-2097x-35583$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0.h.1, 24.24.0.bk.1, $\ldots$	$[ ]$	$1$
11616.k3	11616e1	11616.k	11616e	$4$	$4$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ 2^{6} \cdot 3^{2} \cdot 11^{6} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$264$	$48$	$0$	$1$	$1$		$3$	$5120$	$0.426154$	$21952/9$	$1.09175$	$3.04941$	$1$	$[0, -1, 0, -282, 1080]$	$y^2=x^3-x^2-282x+1080$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 44.12.0-2.a.1.1, $\ldots$	$[ ]$	$1$
11616.k4	11616e4	11616.k	11616e	$4$	$4$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ - 2^{9} \cdot 3^{4} \cdot 11^{6} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.16	2B	$264$	$48$	$0$	$1$	$1$		$1$	$10240$	$0.772727$	$97336/81$	$1.05989$	$3.43068$	$2$	$[0, -1, 0, 928, 6888]$	$y^2=x^3-x^2+928x+6888$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 44.12.0-4.c.1.1, $\ldots$	$[ ]$	$1$
11616.l1	11616s1	11616.l	11616s	$1$	$1$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ - 2^{12} \cdot 3^{7} \cdot 11^{4} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$6$	$2$	$0$	$2.667049551$	$1$		$2$	$8064$	$0.813231$	$61952/2187$	$1.13558$	$3.52963$	$1$	$[0, -1, 0, 323, 17173]$	$y^2=x^3-x^2+323x+17173$	6.2.0.a.1	$[(-9, 116)]$	$1$
11616.m1	11616c1	11616.m	11616c	$1$	$1$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ - 2^{12} \cdot 3^{7} \cdot 11^{10} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$6$	$2$	$0$	$1$	$9$	$3$	$0$	$88704$	$2.012177$	$61952/2187$	$1.13558$	$5.06672$	$1$	$[0, -1, 0, 39043, -23013483]$	$y^2=x^3-x^2+39043x-23013483$	6.2.0.a.1	$[ ]$	$1$
11616.n1	11616d3	11616.n	11616d	$4$	$4$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ 2^{9} \cdot 3^{5} \cdot 11^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.11	2B	$264$	$48$	$0$	$1$	$9$	$3$	$1$	$460800$	$2.662727$	$6663712298552914184/29403$	$1.06967$	$6.83418$	$2$	$[0, -1, 0, -37949512, 89995016740]$	$y^2=x^3-x^2-37949512x+89995016740$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 88.24.0.?, $\ldots$	$[ ]$	$1$
11616.n2	11616d2	11616.n	11616d	$4$	$4$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ 2^{12} \cdot 3^{5} \cdot 11^{14} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.11	2B	$264$	$48$	$0$	$1$	$9$	$3$	$1$	$460800$	$2.662727$	$243578556889408/52089208083$	$1.05700$	$5.96483$	$2$	$[0, -1, 0, -2518897, 1222625857]$	$y^2=x^3-x^2-2518897x+1222625857$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0.h.1, 24.24.0.bk.1, $\ldots$	$[ ]$	$1$
11616.n3	11616d1	11616.n	11616d	$4$	$4$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ 2^{6} \cdot 3^{10} \cdot 11^{10} $	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.4	2Cs	$264$	$48$	$0$	$1$	$9$	$3$	$3$	$230400$	$2.316154$	$13015685560572352/864536409$	$1.06444$	$5.94555$	$1$	$[0, -1, 0, -2371882, 1406718040]$	$y^2=x^3-x^2-2371882x+1406718040$	2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 44.12.0-2.a.1.1, $\ldots$	$[ ]$	$1$
11616.n4	11616d4	11616.n	11616d	$4$	$4$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ - 2^{9} \cdot 3^{20} \cdot 11^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.16	2B	$264$	$48$	$0$	$1$	$9$	$3$	$1$	$460800$	$2.662727$	$-1343891598641864/421900912521$	$1.04688$	$5.97143$	$2$	$[0, -1, 0, -2225472, 1587797928]$	$y^2=x^3-x^2-2225472x+1587797928$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 44.12.0-4.c.1.1, $\ldots$	$[ ]$	$1$
11616.o1	11616g1	11616.o	11616g	$1$	$1$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ - 2^{12} \cdot 3^{18} \cdot 11^{8} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2$	4.2.0.1		$24$	$4$	$0$	$1$	$1$		$0$	$380160$	$2.620708$	$36534162368/387420489$	$1.10253$	$5.84121$	$1$	$[0, -1, 0, 661951, -863028879]$	$y^2=x^3-x^2+661951x-863028879$	4.2.0.a.1, 24.4.0-4.a.1.1	$[ ]$	$1$
11616.p1	11616w1	11616.p	11616w	$1$	$1$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ - 2^{12} \cdot 3^{18} \cdot 11^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2$	4.2.0.1		$264$	$4$	$0$	$3.073193505$	$1$		$0$	$34560$	$1.421761$	$36534162368/387420489$	$1.10253$	$4.30412$	$1$	$[0, -1, 0, 5471, 646417]$	$y^2=x^3-x^2+5471x+646417$	4.2.0.a.1, 264.4.0.?	$[(4219/5, 314928/5)]$	$1$
11616.q1	11616bf1	11616.q	11616bf	$2$	$2$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ 2^{6} \cdot 3 \cdot 11^{7} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.4	2B	$264$	$12$	$0$	$1$	$1$		$1$	$11520$	$0.633873$	$1906624/33$	$0.85378$	$3.52635$	$1$	$[0, 1, 0, -1250, 16344]$	$y^2=x^3+x^2-1250x+16344$	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[ ]$	$1$
11616.q2	11616bf2	11616.q	11616bf	$2$	$2$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ - 2^{9} \cdot 3^{2} \cdot 11^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.5	2B	$264$	$12$	$0$	$1$	$1$		$1$	$23040$	$0.980447$	$-8/1089$	$1.19226$	$3.74711$	$1$	$[0, 1, 0, -40, 47804]$	$y^2=x^3+x^2-40x+47804$	2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.?	$[ ]$	$1$
11616.r1	11616bd1	11616.r	11616bd	$1$	$1$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ - 2^{12} \cdot 3 \cdot 11^{8} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$6$	$2$	$0$	$1$	$1$		$0$	$21120$	$1.087341$	$-5632/3$	$0.75947$	$3.93047$	$1$	$[0, 1, 0, -3549, -113973]$	$y^2=x^3+x^2-3549x-113973$	6.2.0.a.1	$[ ]$	$1$
11616.s1	11616m2	11616.s	11616m	$4$	$4$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ 2^{12} \cdot 3^{2} \cdot 11^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.64	2B	$88$	$48$	$0$	$8.471346337$	$1$		$1$	$30720$	$1.384169$	$4004529472/99$	$0.97266$	$4.78795$	$2$	$[0, 1, 0, -64049, -6260289]$	$y^2=x^3+x^2-64049x-6260289$	2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.m.1.6, 44.24.0-44.h.1.1, 88.48.0.?	$[(5929/4, 293475/4)]$	$1$
11616.s2	11616m3	11616.s	11616m	$4$	$4$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ 2^{9} \cdot 3^{8} \cdot 11^{7} $	$1$	$\Z/4\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.54	2B	$88$	$48$	$0$	$2.117836584$	$1$		$9$	$30720$	$1.384169$	$649461896/72171$	$0.94560$	$4.37145$	$1$	$[0, 1, 0, -17464, 792680]$	$y^2=x^3+x^2-17464x+792680$	2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.m.1.8, 88.48.0.?	$[(122, 702)]$	$1$
11616.s3	11616m1	11616.s	11616m	$4$	$4$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ 2^{6} \cdot 3^{4} \cdot 11^{8} $	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.6	2Cs	$88$	$48$	$0$	$4.235673168$	$1$		$5$	$15360$	$1.037594$	$69934528/9801$	$0.93038$	$3.91119$	$1$	$[0, 1, 0, -4154, -91104]$	$y^2=x^3+x^2-4154x-91104$	2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.3, 44.24.0-44.a.1.2, 88.48.0.?	$[(121, 1092)]$	$1$
11616.s4	11616m4	11616.s	11616m	$4$	$4$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ - 2^{9} \cdot 3^{2} \cdot 11^{10} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.24.0.106	2B	$88$	$48$	$0$	$8.471346337$	$1$		$1$	$30720$	$1.384169$	$37259704/131769$	$0.96426$	$4.24038$	$2$	$[0, 1, 0, 6736, -478788]$	$y^2=x^3+x^2+6736x-478788$	2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.d.1.3, 44.12.0-4.c.1.1, 88.48.0.?	$[(5203/7, 412308/7)]$	$1$
11616.t1	11616bc2	11616.t	11616bc	$2$	$2$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ 2^{12} \cdot 3^{3} \cdot 11^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$132$	$12$	$0$	$1$	$1$		$1$	$23040$	$1.321384$	$58411072/3267$	$0.96722$	$4.33628$	$1$	$[0, 1, 0, -15649, -721393]$	$y^2=x^3+x^2-15649x-721393$	2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.?	$[ ]$	$1$
11616.t2	11616bc1	11616.t	11616bc	$2$	$2$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ - 2^{6} \cdot 3^{6} \cdot 11^{7} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$132$	$12$	$0$	$1$	$1$		$1$	$11520$	$0.974811$	$314432/8019$	$1.04398$	$3.73580$	$1$	$[0, 1, 0, 686, -45124]$	$y^2=x^3+x^2+686x-45124$	2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.?	$[ ]$	$1$
11616.u1	11616n1	11616.u	11616n	$1$	$1$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ - 2^{12} \cdot 3 \cdot 11^{2} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$				$6$	$2$	$0$	$1.035345248$	$1$		$2$	$1920$	$-0.111607$	$-5632/3$	$0.75947$	$2.39338$	$1$	$[0, 1, 0, -29, 75]$	$y^2=x^3+x^2-29x+75$	6.2.0.a.1	$[(-3, 12)]$	$1$
11616.v1	11616k1	11616.v	11616k	$1$	$1$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ - 2^{12} \cdot 3^{2} \cdot 11^{8} $	$1$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2$	4.2.0.1		$24$	$4$	$0$	$0.275114897$	$1$		$6$	$25344$	$1.295460$	$-937024/9$	$1.15752$	$4.40889$	$1$	$[0, 1, 0, -19521, 1051983]$	$y^2=x^3+x^2-19521x+1051983$	4.2.0.a.1, 24.4.0-4.a.1.1	$[(-81, 1452)]$	$1$
11616.w1	11616y1	11616.w	11616y	$1$	$1$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ - 2^{12} \cdot 3^{2} \cdot 11^{2} $	$0$	$\mathsf{trivial}$	$\Q$	$\mathrm{SU}(2)$	$2$	4.2.0.1		$264$	$4$	$0$	$1$	$1$		$0$	$2304$	$0.096512$	$-937024/9$	$1.15752$	$2.87180$	$1$	$[0, 1, 0, -161, -849]$	$y^2=x^3+x^2-161x-849$	4.2.0.a.1, 264.4.0.?	$[ ]$	$1$
11616.x1	11616x2	11616.x	11616x	$2$	$2$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ 2^{9} \cdot 3^{2} \cdot 11^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$264$	$12$	$0$	$1.011957262$	$1$		$5$	$2304$	$0.083880$	$343000/9$	$0.89964$	$2.79670$	$1$	$[0, 1, 0, -128, 504]$	$y^2=x^3+x^2-128x+504$	2.3.0.a.1, 24.6.0.i.1, 88.6.0.?, 132.6.0.?, 264.12.0.?	$[(10, 18)]$	$1$
11616.x2	11616x1	11616.x	11616x	$2$	$2$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ 2^{6} \cdot 3 \cdot 11^{3} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$264$	$12$	$0$	$2.023914524$	$1$		$3$	$1152$	$-0.262694$	$8000/3$	$0.83260$	$2.17302$	$1$	$[0, 1, 0, -18, -24]$	$y^2=x^3+x^2-18x-24$	2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[(5, 6)]$	$1$
11616.y1	11616j1	11616.y	11616j	$2$	$2$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ 2^{6} \cdot 3^{3} \cdot 11^{7} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.4	2B	$264$	$12$	$0$	$0.751377223$	$1$		$5$	$11520$	$1.023634$	$1643032000/297$	$0.96314$	$4.24845$	$1$	$[0, 1, 0, -11898, 495504]$	$y^2=x^3+x^2-11898x+495504$	2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.?	$[(150, 1452)]$	$1$
11616.y2	11616j2	11616.y	11616j	$2$	$2$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ - 2^{9} \cdot 3^{6} \cdot 11^{8} $	$1$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.6.0.5	2B	$264$	$12$	$0$	$1.502754446$	$1$		$3$	$23040$	$1.370207$	$-148877000/88209$	$1.12203$	$4.28939$	$1$	$[0, 1, 0, -10688, 601500]$	$y^2=x^3+x^2-10688x+601500$	2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.?	$[(7, 726)]$	$1$
11616.z1	11616i2	11616.z	11616i	$2$	$2$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ 2^{9} \cdot 3^{2} \cdot 11^{9} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$4$	$2$	$1$	$25344$	$1.282827$	$343000/9$	$0.89964$	$4.33379$	$1$	$[0, 1, 0, -15528, -732888]$	$y^2=x^3+x^2-15528x-732888$	2.3.0.a.1, 24.6.0.i.1, 88.6.0.?, 132.6.0.?, 264.12.0.?	$[ ]$	$1$
11616.z2	11616i1	11616.z	11616i	$2$	$2$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ 2^{6} \cdot 3 \cdot 11^{9} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	2.3.0.1	2B	$264$	$12$	$0$	$1$	$4$	$2$	$1$	$12672$	$0.936254$	$8000/3$	$0.83260$	$3.71011$	$1$	$[0, 1, 0, -2218, 23120]$	$y^2=x^3+x^2-2218x+23120$	2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?	$[ ]$	$1$
11616.ba1	11616bb2	11616.ba	11616bb	$4$	$4$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ 2^{9} \cdot 3^{5} \cdot 11^{8} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.11	2B	$264$	$48$	$0$	$1$	$16$	$2$	$1$	$460800$	$2.662727$	$6663712298552914184/29403$	$1.06967$	$6.83418$	$2$	$[0, 1, 0, -37949512, -89995016740]$	$y^2=x^3+x^2-37949512x-89995016740$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 88.24.0.?, $\ldots$	$[ ]$	$1$
11616.ba2	11616bb3	11616.ba	11616bb	$4$	$4$	$ 2^{5} \cdot 3 \cdot 11^{2} $	$ 2^{12} \cdot 3^{5} \cdot 11^{14} $	$0$	$\Z/2\Z$	$\Q$	$\mathrm{SU}(2)$	$2$	8.12.0.11	2B	$264$	$48$	$0$	$1$	$1$		$1$	$460800$	$2.662727$	$243578556889408/52089208083$	$1.05700$	$5.96483$	$2$	$[0, 1, 0, -2518897, -1222625857]$	$y^2=x^3+x^2-2518897x-1222625857$	2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0.h.1, 24.24.0.bk.1, $\ldots$	$[ ]$	$1$

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 $\F_{q}$
Belyi maps

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