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 |
370881.a1 |
370881a2 |
370881.a |
370881a |
$2$ |
$5$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( - 3^{6} \cdot 7^{7} \cdot 29^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$6090$ |
$48$ |
$1$ |
$16.54232072$ |
$1$ |
|
$0$ |
$290304000$ |
$3.791492$ |
$-1099616058781696/143578043$ |
$1.03288$ |
$5.70079$ |
$[0, 0, 1, -797517777, -8669771691044]$ |
\(y^2+y=x^3-797517777x-8669771691044\) |
5.12.0.a.2, 30.24.0-5.a.2.1, 406.2.0.?, 2030.24.1.?, 3045.24.0.?, $\ldots$ |
$[(166746488825/1606, 60023832146100897/1606)]$ |
370881.a2 |
370881a1 |
370881.a |
370881a |
$2$ |
$5$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( - 3^{6} \cdot 7^{11} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$6090$ |
$48$ |
$1$ |
$3.308464144$ |
$1$ |
|
$0$ |
$58060800$ |
$2.986774$ |
$841232384/487403$ |
$1.28149$ |
$4.60254$ |
$[0, 0, 1, 7293993, -261419594]$ |
\(y^2+y=x^3+7293993x-261419594\) |
5.12.0.a.1, 30.24.0-5.a.1.1, 406.2.0.?, 2030.24.1.?, 3045.24.0.?, $\ldots$ |
$[(3857/2, 700549/2)]$ |
370881.b1 |
370881b1 |
370881.b |
370881b |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( - 3^{6} \cdot 7^{3} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$3.324724655$ |
$1$ |
|
$2$ |
$2419200$ |
$1.683229$ |
$-4096/29$ |
$0.70944$ |
$3.39481$ |
$[0, 0, 1, -17661, -3286418]$ |
\(y^2+y=x^3-17661x-3286418\) |
406.2.0.? |
$[(2030, 91248)]$ |
370881.c1 |
370881c1 |
370881.c |
370881c |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( - 3^{15} \cdot 7^{2} \cdot 29^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1775520$ |
$1.518122$ |
$-24113152/19683$ |
$0.98243$ |
$3.26201$ |
$[0, 0, 1, -17661, -1402578]$ |
\(y^2+y=x^3-17661x-1402578\) |
6.2.0.a.1 |
$[]$ |
370881.d1 |
370881d1 |
370881.d |
370881d |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( 3^{12} \cdot 7^{2} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$58$ |
$2$ |
$0$ |
$0.843343319$ |
$1$ |
|
$4$ |
$6773760$ |
$2.089657$ |
$62992384/21141$ |
$0.85521$ |
$3.79345$ |
$[0, 0, 1, -229593, 27443722]$ |
\(y^2+y=x^3-229593x+27443722\) |
58.2.0.a.1 |
$[(58, 3784)]$ |
370881.e1 |
370881e1 |
370881.e |
370881e |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( 3^{12} \cdot 7^{8} \cdot 29^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$58$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$47416320$ |
$3.062611$ |
$62992384/21141$ |
$0.85521$ |
$4.70391$ |
$[0, 0, 1, -11250057, -9413196732]$ |
\(y^2+y=x^3-11250057x-9413196732\) |
58.2.0.a.1 |
$[]$ |
370881.f1 |
370881f1 |
370881.f |
370881f |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( - 3^{6} \cdot 7^{9} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$8.897547259$ |
$1$ |
|
$0$ |
$16934400$ |
$2.656185$ |
$-4096/29$ |
$0.70944$ |
$4.30527$ |
$[0, 0, 1, -865389, 1127241288]$ |
\(y^2+y=x^3-865389x+1127241288\) |
406.2.0.? |
$[(3764229/17, 7286428692/17)]$ |
370881.g1 |
370881g1 |
370881.g |
370881g |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( - 3^{15} \cdot 7^{8} \cdot 29^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.842517805$ |
$1$ |
|
$6$ |
$12428640$ |
$2.491077$ |
$-24113152/19683$ |
$0.98243$ |
$4.17247$ |
$[0, 0, 1, -865389, 481084168]$ |
\(y^2+y=x^3-865389x+481084168\) |
6.2.0.a.1 |
$[(196, 17860)]$ |
370881.h1 |
370881h1 |
370881.h |
370881h |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( 3^{17} \cdot 7^{19} \cdot 29^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$7643750400$ |
$5.618362$ |
$170295687079857398473/17163597526568829$ |
$1.04199$ |
$7.15784$ |
$[1, -1, 1, -404259185084, 89905529625582962]$ |
\(y^2+xy+y=x^3-x^2-404259185084x+89905529625582962\) |
42.2.0.a.1 |
$[]$ |
370881.i1 |
370881i3 |
370881.i |
370881i |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( 3^{9} \cdot 7^{8} \cdot 29^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.10 |
2B |
$9744$ |
$192$ |
$1$ |
$8.541969460$ |
$1$ |
|
$0$ |
$495452160$ |
$4.496574$ |
$947531277805646290177/38367$ |
$1.01996$ |
$6.76651$ |
$[1, -1, 1, -75891161471, 8047035862185912]$ |
\(y^2+xy+y=x^3-x^2-75891161471x+8047035862185912\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.1, 24.24.0-8.n.1.4, $\ldots$ |
$[(5636579/11, 90367903971/11)]$ |
370881.i2 |
370881i6 |
370881.i |
370881i |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( 3^{30} \cdot 7^{7} \cdot 29^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.10 |
2B |
$9744$ |
$192$ |
$1$ |
$17.08393892$ |
$1$ |
|
$0$ |
$990904320$ |
$4.843147$ |
$8471112631466271697/1662662681263647$ |
$1.00847$ |
$6.39866$ |
$[1, -1, 1, -15750952916, -618518993069568]$ |
\(y^2+xy+y=x^3-x^2-15750952916x-618518993069568\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.1, 24.24.0-8.n.1.3, $\ldots$ |
$[(-99675400723/1151, 18140963548656786/1151)]$ |
370881.i3 |
370881i4 |
370881.i |
370881i |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( 3^{18} \cdot 7^{8} \cdot 29^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.12 |
2Cs |
$4872$ |
$192$ |
$1$ |
$34.16787784$ |
$1$ |
|
$2$ |
$495452160$ |
$4.496574$ |
$244883173420511137/18418027974129$ |
$1.08831$ |
$6.12232$ |
$[1, -1, 1, -4834070681, 120667469815176]$ |
\(y^2+xy+y=x^3-x^2-4834070681x+120667469815176\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.9, 24.48.0-24.i.1.26, 28.24.0.c.1, $\ldots$ |
$[(4658646367068835/245898, 212605449103612123632089/245898)]$ |
370881.i4 |
370881i2 |
370881.i |
370881i |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( 3^{12} \cdot 7^{10} \cdot 29^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.12 |
2Cs |
$4872$ |
$192$ |
$1$ |
$17.08393892$ |
$1$ |
|
$2$ |
$247726080$ |
$4.149994$ |
$231331938231569617/1472026689$ |
$0.98909$ |
$6.11789$ |
$[1, -1, 1, -4743204836, 125735421454206]$ |
\(y^2+xy+y=x^3-x^2-4743204836x+125735421454206\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.9, 24.48.0-24.i.2.20, 28.24.0-4.b.1.2, $\ldots$ |
$[(1179407107/171, 879050960254/171)]$ |
370881.i5 |
370881i1 |
370881.i |
370881i |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( - 3^{9} \cdot 7^{14} \cdot 29^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.10 |
2B |
$9744$ |
$192$ |
$1$ |
$8.541969460$ |
$1$ |
|
$1$ |
$123863040$ |
$3.803425$ |
$-53297461115137/4513839183$ |
$0.94722$ |
$5.47539$ |
$[1, -1, 1, -290778431, 2043453982182]$ |
\(y^2+xy+y=x^3-x^2-290778431x+2043453982182\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.1, 24.24.0.bz.1, $\ldots$ |
$[(517924/9, 484285454/9)]$ |
370881.i6 |
370881i5 |
370881.i |
370881i |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( - 3^{12} \cdot 7^{7} \cdot 29^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.10 |
2B |
$9744$ |
$192$ |
$1$ |
$68.33575568$ |
$1$ |
|
$0$ |
$990904320$ |
$4.843147$ |
$215015459663151503/2552757445339983$ |
$1.02586$ |
$6.34388$ |
$[1, -1, 1, 4628958034, 535503937411860]$ |
\(y^2+xy+y=x^3-x^2+4628958034x+535503937411860\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0-8.n.1.1, $\ldots$ |
$[(851839274644119912765158724331/4887373485474, 3186351147179272704259887727937403975261617741/4887373485474)]$ |
370881.j1 |
370881j6 |
370881.j |
370881j |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( 3^{7} \cdot 7^{8} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$9744$ |
$192$ |
$1$ |
$34.24743626$ |
$1$ |
|
$0$ |
$38535168$ |
$3.280113$ |
$53297461115137/147$ |
$1.05087$ |
$5.46474$ |
$[1, -1, 1, -290778431, -1908423925180]$ |
\(y^2+xy+y=x^3-x^2-290778431x-1908423925180\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$ |
$[(3820061197079299/378550, 164559209544879880471743/378550)]$ |
370881.j2 |
370881j4 |
370881.j |
370881j |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( 3^{8} \cdot 7^{10} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$4872$ |
$192$ |
$1$ |
$17.12371813$ |
$1$ |
|
$2$ |
$19267584$ |
$2.933540$ |
$13027640977/21609$ |
$1.08149$ |
$4.81620$ |
$[1, -1, 1, -18180896, -29790752974]$ |
\(y^2+xy+y=x^3-x^2-18180896x-29790752974\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$ |
$[(1213776523/226, 41415282269013/226)]$ |
370881.j3 |
370881j3 |
370881.j |
370881j |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( 3^{14} \cdot 7^{7} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$9744$ |
$192$ |
$1$ |
$4.280929533$ |
$1$ |
|
$2$ |
$19267584$ |
$2.933540$ |
$6570725617/45927$ |
$1.00160$ |
$4.76283$ |
$[1, -1, 1, -14472086, 21065933270]$ |
\(y^2+xy+y=x^3-x^2-14472086x+21065933270\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 48.48.0.bf.1, $\ldots$ |
$[(-3951, 130648)]$ |
370881.j4 |
370881j5 |
370881.j |
370881j |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( - 3^{7} \cdot 7^{14} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$9744$ |
$192$ |
$1$ |
$34.24743626$ |
$1$ |
|
$0$ |
$38535168$ |
$3.280113$ |
$-4354703137/17294403$ |
$1.04266$ |
$4.89156$ |
$[1, -1, 1, -12617681, -48369665788]$ |
\(y^2+xy+y=x^3-x^2-12617681x-48369665788\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[(48396145532163609/2505800, 8730938745955977075201377/2505800)]$ |
370881.j5 |
370881j2 |
370881.j |
370881j |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( 3^{10} \cdot 7^{8} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$4872$ |
$192$ |
$1$ |
$8.561859067$ |
$1$ |
|
$2$ |
$9633792$ |
$2.586967$ |
$7189057/3969$ |
$1.14862$ |
$4.23117$ |
$[1, -1, 1, -1491251, -149943454]$ |
\(y^2+xy+y=x^3-x^2-1491251x-149943454\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$ |
$[(94459/2, 28897269/2)]$ |
370881.j6 |
370881j1 |
370881.j |
370881j |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( - 3^{8} \cdot 7^{7} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$9744$ |
$192$ |
$1$ |
$4.280929533$ |
$1$ |
|
$3$ |
$4816896$ |
$2.240395$ |
$103823/63$ |
$0.97868$ |
$3.90072$ |
$[1, -1, 1, 363154, -18651580]$ |
\(y^2+xy+y=x^3-x^2+363154x-18651580\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
$[(267/2, 19133/2)]$ |
370881.k1 |
370881k1 |
370881.k |
370881k |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( - 3^{11} \cdot 7^{4} \cdot 29^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.801633683$ |
$1$ |
|
$6$ |
$10857600$ |
$2.593094$ |
$-177625/243$ |
$0.86566$ |
$4.25887$ |
$[1, -1, 1, -1120370, -836897484]$ |
\(y^2+xy+y=x^3-x^2-1120370x-836897484\) |
6.2.0.a.1 |
$[(1472, 25755)]$ |
370881.l1 |
370881l1 |
370881.l |
370881l |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( - 3^{11} \cdot 7^{10} \cdot 29^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$24.92454107$ |
$1$ |
|
$2$ |
$76003200$ |
$3.566048$ |
$-177625/243$ |
$0.86566$ |
$5.16934$ |
$[1, -1, 1, -54898115, 287165633150]$ |
\(y^2+xy+y=x^3-x^2-54898115x+287165633150\) |
6.2.0.a.1 |
$[(4836, 364678), (-18710/3, 16939300/3)]$ |
370881.m1 |
370881m1 |
370881.m |
370881m |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( - 3^{6} \cdot 7^{8} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$13.95884025$ |
$1$ |
|
$0$ |
$9676800$ |
$2.489719$ |
$-1/1421$ |
$1.01742$ |
$4.14740$ |
$[1, -1, 1, -7727, -409642572]$ |
\(y^2+xy+y=x^3-x^2-7727x-409642572\) |
116.2.0.? |
$[(180153352/327, 2278680148253/327)]$ |
370881.n1 |
370881n1 |
370881.n |
370881n |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( 3^{9} \cdot 7^{7} \cdot 29^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$1.704106420$ |
$1$ |
|
$2$ |
$552960$ |
$1.228611$ |
$707281/189$ |
$0.99552$ |
$3.00000$ |
$[1, -1, 1, -7727, 193722]$ |
\(y^2+xy+y=x^3-x^2-7727x+193722\) |
42.2.0.a.1 |
$[(-40, 681)]$ |
370881.o1 |
370881o1 |
370881.o |
370881o |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( - 3^{9} \cdot 7^{7} \cdot 29^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$84$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$20044800$ |
$2.969238$ |
$-4317433/189$ |
$0.81869$ |
$4.72226$ |
$[1, -1, 1, -11875919, -16334448532]$ |
\(y^2+xy+y=x^3-x^2-11875919x-16334448532\) |
84.2.0.? |
$[]$ |
370881.p1 |
370881p2 |
370881.p |
370881p |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( 3^{6} \cdot 7^{2} \cdot 29^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1218$ |
$16$ |
$0$ |
$4.198266672$ |
$1$ |
|
$0$ |
$5080320$ |
$2.187645$ |
$1126924288/24389$ |
$0.91363$ |
$4.01836$ |
$[0, 0, 1, -600474, -175716648]$ |
\(y^2+y=x^3-600474x-175716648\) |
3.4.0.a.1, 42.8.0-3.a.1.2, 58.2.0.a.1, 174.8.0.?, 609.8.0.?, $\ldots$ |
$[(-6583/4, 83227/4)]$ |
370881.p2 |
370881p1 |
370881.p |
370881p |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( 3^{6} \cdot 7^{2} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1218$ |
$16$ |
$0$ |
$1.399422224$ |
$1$ |
|
$4$ |
$1693440$ |
$1.638340$ |
$1835008/29$ |
$0.83970$ |
$3.51771$ |
$[0, 0, 1, -70644, 7127685]$ |
\(y^2+y=x^3-70644x+7127685\) |
3.4.0.a.1, 42.8.0-3.a.1.1, 58.2.0.a.1, 174.8.0.?, 609.8.0.?, $\ldots$ |
$[(-145, 3784)]$ |
370881.q1 |
370881q2 |
370881.q |
370881q |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( - 3^{9} \cdot 7^{4} \cdot 29^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$7$ |
7.84.1.1 |
7Ns.6.1.2 |
|
|
|
$2.564570776$ |
$1$ |
|
$2$ |
$1814400$ |
$1.835127$ |
$0$ |
|
$3.53485$ |
$[0, 0, 1, 0, -8066662]$ |
\(y^2+y=x^3-8066662\) |
|
$[(232, 2102)]$ |
370881.q2 |
370881q1 |
370881.q |
370881q |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( - 3^{3} \cdot 7^{4} \cdot 29^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$7$ |
7.84.1.1 |
7Ns.6.1.2 |
|
|
|
$0.854856925$ |
$1$ |
|
$4$ |
$604800$ |
$1.285820$ |
$0$ |
|
$3.02083$ |
$[0, 0, 1, 0, 298765]$ |
\(y^2+y=x^3+298765\) |
|
$[(203, 2943)]$ |
370881.r1 |
370881r1 |
370881.r |
370881r |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( - 3^{3} \cdot 7^{2} \cdot 29^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.997299922$ |
$1$ |
|
$0$ |
$1064880$ |
$1.522718$ |
$0$ |
|
$3.24251$ |
$[0, 0, 1, 0, -1237742]$ |
\(y^2+y=x^3-1237742\) |
|
$[(841/2, 22703/2)]$ |
370881.r2 |
370881r2 |
370881.r |
370881r |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( - 3^{9} \cdot 7^{2} \cdot 29^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$5.991899766$ |
$1$ |
|
$0$ |
$3194640$ |
$2.072025$ |
$0$ |
|
$3.75653$ |
$[0, 0, 1, 0, 33419027]$ |
\(y^2+y=x^3+33419027\) |
|
$[(393/2, 46895/2)]$ |
370881.s1 |
370881s1 |
370881.s |
370881s |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( - 3^{3} \cdot 7^{2} \cdot 29^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$36720$ |
$-0.160930$ |
$0$ |
|
$1.66700$ |
$[0, 0, 1, 0, -51]$ |
\(y^2+y=x^3-51\) |
|
$[]$ |
370881.s2 |
370881s2 |
370881.s |
370881s |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( - 3^{9} \cdot 7^{2} \cdot 29^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$110160$ |
$0.388376$ |
$0$ |
|
$2.18102$ |
$[0, 0, 1, 0, 1370]$ |
\(y^2+y=x^3+1370\) |
|
$[]$ |
370881.t1 |
370881t1 |
370881.t |
370881t |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( - 3^{3} \cdot 7^{6} \cdot 29^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$29$ |
29.1218.78.1 |
29Nn.1.14 |
|
|
|
$1$ |
$1$ |
|
$0$ |
$8331120$ |
$2.732571$ |
$0$ |
|
$4.37465$ |
$[0, 0, 1, 0, -1758831027]$ |
\(y^2+y=x^3-1758831027\) |
|
$[]$ |
370881.t2 |
370881t2 |
370881.t |
370881t |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( - 3^{9} \cdot 7^{6} \cdot 29^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$29$ |
29.1218.78.1 |
29Nn.1.14 |
|
|
|
$1$ |
$1$ |
|
$0$ |
$24993360$ |
$3.281876$ |
$0$ |
|
$4.88868$ |
$[0, 0, 1, 0, 47488437722]$ |
\(y^2+y=x^3+47488437722\) |
|
$[]$ |
370881.u1 |
370881u1 |
370881.u |
370881u |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( - 3^{3} \cdot 7^{6} \cdot 29^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$29$ |
29.1218.78.1 |
29Nn.1.14 |
|
|
|
$2.762229897$ |
$1$ |
|
$2$ |
$287280$ |
$1.048923$ |
$0$ |
|
$2.79914$ |
$[0, 0, 1, 0, -72116]$ |
\(y^2+y=x^3-72116\) |
|
$[(232, 3523)]$ |
370881.u2 |
370881u2 |
370881.u |
370881u |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( - 3^{9} \cdot 7^{6} \cdot 29^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$29$ |
29.1218.78.1 |
29Nn.1.14 |
|
|
|
$8.286689691$ |
$1$ |
|
$0$ |
$861840$ |
$1.598228$ |
$0$ |
|
$3.31317$ |
$[0, 0, 1, 0, 1947125]$ |
\(y^2+y=x^3+1947125\) |
|
$[(14505/8, 1887125/8)]$ |
370881.v1 |
370881v2 |
370881.v |
370881v |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( - 3^{9} \cdot 7^{8} \cdot 29^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$3.256613411$ |
$1$ |
|
$2$ |
$771120$ |
$1.361332$ |
$0$ |
|
$3.09149$ |
$[0, 0, 1, 0, -469996]$ |
\(y^2+y=x^3-469996\) |
|
$[(78, 67)]$ |
370881.v2 |
370881v1 |
370881.v |
370881v |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( - 3^{3} \cdot 7^{8} \cdot 29^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.085537803$ |
$1$ |
|
$2$ |
$257040$ |
$0.812025$ |
$0$ |
|
$2.57746$ |
$[0, 0, 1, 0, 17407]$ |
\(y^2+y=x^3+17407\) |
|
$[(49, 367)]$ |
370881.w1 |
370881w2 |
370881.w |
370881w |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( - 3^{9} \cdot 7^{8} \cdot 29^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$3$ |
27.648.18.4 |
3B.1.2 |
|
|
|
$1$ |
$9$ |
$3$ |
$0$ |
$22362480$ |
$3.044979$ |
$0$ |
|
$4.66700$ |
$[0, 0, 1, 0, -11462726347]$ |
\(y^2+y=x^3-11462726347\) |
|
$[]$ |
370881.w2 |
370881w1 |
370881.w |
370881w |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( - 3^{3} \cdot 7^{8} \cdot 29^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$3$ |
27.648.18.1 |
3B.1.1 |
|
|
|
$1$ |
$9$ |
$3$ |
$2$ |
$7454160$ |
$2.495674$ |
$0$ |
|
$4.15297$ |
$[0, 0, 1, 0, 424545420]$ |
\(y^2+y=x^3+424545420\) |
|
$[]$ |
370881.x1 |
370881x1 |
370881.x |
370881x |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( - 3^{3} \cdot 7^{10} \cdot 29^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$7$ |
7.84.1.1 |
7Ns.6.1.2 |
|
|
|
$1$ |
$4$ |
$2$ |
$0$ |
$4233600$ |
$2.258774$ |
$0$ |
|
$3.93129$ |
$[0, 0, 1, 0, -102476481]$ |
\(y^2+y=x^3-102476481\) |
|
$[]$ |
370881.x2 |
370881x2 |
370881.x |
370881x |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( - 3^{9} \cdot 7^{10} \cdot 29^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$7$ |
7.84.1.1 |
7Ns.6.1.2 |
|
|
|
$1$ |
$4$ |
$2$ |
$0$ |
$12700800$ |
$2.808083$ |
$0$ |
|
$4.44532$ |
$[0, 0, 1, 0, 2766864980]$ |
\(y^2+y=x^3+2766864980\) |
|
$[]$ |
370881.y1 |
370881y2 |
370881.y |
370881y |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( 3^{6} \cdot 7^{8} \cdot 29^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$174$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$35562240$ |
$3.160603$ |
$1126924288/24389$ |
$0.91363$ |
$4.92883$ |
$[0, 0, 1, -29423226, 60270810178]$ |
\(y^2+y=x^3-29423226x+60270810178\) |
3.4.0.a.1, 6.8.0-3.a.1.1, 58.2.0.a.1, 87.8.0.?, 174.16.0.? |
$[]$ |
370881.y2 |
370881y1 |
370881.y |
370881y |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( 3^{6} \cdot 7^{8} \cdot 29^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$174$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11854080$ |
$2.611294$ |
$1835008/29$ |
$0.83970$ |
$4.42817$ |
$[0, 0, 1, -3461556, -2444796041]$ |
\(y^2+y=x^3-3461556x-2444796041\) |
3.4.0.a.1, 6.8.0-3.a.1.2, 58.2.0.a.1, 87.8.0.?, 174.16.0.? |
$[]$ |
370881.z1 |
370881z1 |
370881.z |
370881z |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( 3^{17} \cdot 7^{19} \cdot 29^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$12.08908789$ |
$1$ |
|
$0$ |
$263577600$ |
$3.934715$ |
$170295687079857398473/17163597526568829$ |
$1.04199$ |
$5.58233$ |
$[1, -1, 0, -480688686, 3686430745003]$ |
\(y^2+xy=x^3-x^2-480688686x+3686430745003\) |
42.2.0.a.1 |
$[(-17722/13, 4247113655/13)]$ |
370881.ba1 |
370881ba2 |
370881.ba |
370881ba |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( 3^{12} \cdot 7^{9} \cdot 29^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2436$ |
$12$ |
$0$ |
$6.029115423$ |
$1$ |
|
$0$ |
$54190080$ |
$3.493671$ |
$1121622319/613089$ |
$0.94499$ |
$5.08020$ |
$[1, -1, 0, -56196198, 38199347689]$ |
\(y^2+xy=x^3-x^2-56196198x+38199347689\) |
2.3.0.a.1, 28.6.0.a.1, 348.6.0.?, 2436.12.0.? |
$[(620981/4, 479048933/4)]$ |
370881.ba2 |
370881ba1 |
370881.ba |
370881ba |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( 3^{9} \cdot 7^{9} \cdot 29^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2436$ |
$12$ |
$0$ |
$3.014557711$ |
$1$ |
|
$3$ |
$27095040$ |
$3.147099$ |
$510082399/783$ |
$0.94444$ |
$5.01876$ |
$[1, -1, 0, -43215363, 109212303640]$ |
\(y^2+xy=x^3-x^2-43215363x+109212303640\) |
2.3.0.a.1, 28.6.0.b.1, 348.6.0.?, 1218.6.0.?, 2436.12.0.? |
$[(-4792, 456536)]$ |
370881.bb1 |
370881bb2 |
370881.bb |
370881bb |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( 3^{8} \cdot 7^{7} \cdot 29^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2436$ |
$12$ |
$0$ |
$4.624166971$ |
$1$ |
|
$0$ |
$20643840$ |
$2.928173$ |
$4956477625/52983$ |
$0.86867$ |
$4.74084$ |
$[1, -1, 0, -13174002, 18237048745]$ |
\(y^2+xy=x^3-x^2-13174002x+18237048745\) |
2.3.0.a.1, 28.6.0.a.1, 348.6.0.?, 2436.12.0.? |
$[(7463/2, 90439/2)]$ |