| 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 |
| 4998.a1 |
4998j2 |
4998.a |
4998j |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{12} \cdot 3^{5} \cdot 7^{2} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1428$ |
$16$ |
$0$ |
$0.412666720$ |
$1$ |
|
$4$ |
$181440$ |
$2.291546$ |
$222165413800219579417/118033833938006016$ |
$1.07176$ |
$5.95785$ |
$[1, 1, 0, -461724, 34374096]$ |
\(y^2+xy=x^3+x^2-461724x+34374096\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 204.8.0.?, 1428.16.0.? |
$[(-616, 9556)]$ |
| 4998.a2 |
4998j1 |
4998.a |
4998j |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{4} \cdot 3^{15} \cdot 7^{2} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1428$ |
$16$ |
$0$ |
$1.238000160$ |
$1$ |
|
$4$ |
$60480$ |
$1.742239$ |
$42531320912955257257/1127938881456$ |
$1.03695$ |
$5.76374$ |
$[1, 1, 0, -266109, -52946739]$ |
\(y^2+xy=x^3+x^2-266109x-52946739\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 204.8.0.?, 1428.16.0.? |
$[(-298, 183)]$ |
| 4998.b1 |
4998i2 |
4998.b |
4998i |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{7} \cdot 3 \cdot 7^{9} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2856$ |
$12$ |
$0$ |
$3.742122449$ |
$1$ |
|
$2$ |
$112896$ |
$2.185226$ |
$814544990575471/9268826496$ |
$1.00393$ |
$6.08760$ |
$[1, 1, 0, -667356, -208043184]$ |
\(y^2+xy=x^3+x^2-667356x-208043184\) |
2.3.0.a.1, 168.6.0.?, 408.6.0.?, 476.6.0.?, 2856.12.0.? |
$[(1373, 37606)]$ |
| 4998.b2 |
4998i1 |
4998.b |
4998i |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{14} \cdot 3^{2} \cdot 7^{9} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2856$ |
$12$ |
$0$ |
$1.871061224$ |
$1$ |
|
$5$ |
$56448$ |
$1.838652$ |
$-1865409391/724451328$ |
$1.04561$ |
$5.32716$ |
$[1, 1, 0, -8796, -8236080]$ |
\(y^2+xy=x^3+x^2-8796x-8236080\) |
2.3.0.a.1, 168.6.0.?, 238.6.0.?, 408.6.0.?, 2856.12.0.? |
$[(344, 5268)]$ |
| 4998.c1 |
4998e2 |
4998.c |
4998e |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{4} \cdot 3^{7} \cdot 7^{3} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$64512$ |
$2.057732$ |
$717647917494305598319/844621814448$ |
$1.05274$ |
$6.32400$ |
$[1, 1, 0, -1305651, 573689565]$ |
\(y^2+xy=x^3+x^2-1305651x+573689565\) |
2.3.0.a.1, 42.6.0.a.1, 204.6.0.?, 476.6.0.?, 1428.12.0.? |
$[]$ |
| 4998.c2 |
4998e1 |
4998.c |
4998e |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{14} \cdot 7^{3} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$32256$ |
$1.711159$ |
$-170915990723796079/6015674034432$ |
$1.02700$ |
$5.35139$ |
$[1, 1, 0, -80931, 9093645]$ |
\(y^2+xy=x^3+x^2-80931x+9093645\) |
2.3.0.a.1, 84.6.0.?, 204.6.0.?, 238.6.0.?, 1428.12.0.? |
$[]$ |
| 4998.d1 |
4998g3 |
4998.d |
4998g |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{18} \cdot 3^{2} \cdot 7^{6} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$2856$ |
$96$ |
$1$ |
$0.871911894$ |
$1$ |
|
$7$ |
$25920$ |
$1.614382$ |
$46753267515625/11591221248$ |
$1.08666$ |
$5.06662$ |
$[1, 1, 0, -36775, 2036917]$ |
\(y^2+xy=x^3+x^2-36775x+2036917\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 21.8.0-3.a.1.2, $\ldots$ |
$[(13, 1243)]$ |
| 4998.d2 |
4998g1 |
4998.d |
4998g |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{6} \cdot 7^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$2856$ |
$96$ |
$1$ |
$2.615735683$ |
$1$ |
|
$3$ |
$8640$ |
$1.065075$ |
$1845026709625/793152$ |
$1.00293$ |
$4.68709$ |
$[1, 1, 0, -12520, -544256]$ |
\(y^2+xy=x^3+x^2-12520x-544256\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 21.8.0-3.a.1.1, $\ldots$ |
$[(136, 472)]$ |
| 4998.d3 |
4998g2 |
4998.d |
4998g |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{3} \cdot 3^{12} \cdot 7^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$2856$ |
$96$ |
$1$ |
$5.231471366$ |
$1$ |
|
$2$ |
$17280$ |
$1.411650$ |
$-1107111813625/1228691592$ |
$1.01884$ |
$4.75285$ |
$[1, 1, 0, -10560, -717912]$ |
\(y^2+xy=x^3+x^2-10560x-717912\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 21.8.0-3.a.1.1, $\ldots$ |
$[(5333, 386761)]$ |
| 4998.d4 |
4998g4 |
4998.d |
4998g |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{9} \cdot 3^{4} \cdot 7^{6} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$2856$ |
$96$ |
$1$ |
$1.743823788$ |
$1$ |
|
$4$ |
$51840$ |
$1.960955$ |
$655215969476375/1001033261568$ |
$1.05358$ |
$5.43469$ |
$[1, 1, 0, 88665, 13050549]$ |
\(y^2+xy=x^3+x^2+88665x+13050549\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 21.8.0-3.a.1.2, $\ldots$ |
$[(83, 4540)]$ |
| 4998.e1 |
4998b1 |
4998.e |
4998b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{24} \cdot 3^{7} \cdot 7^{4} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$204$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$40320$ |
$1.877401$ |
$1617840527930521321/623760113664$ |
$1.04264$ |
$5.83685$ |
$[1, 1, 0, -327492, -72248112]$ |
\(y^2+xy=x^3+x^2-327492x-72248112\) |
204.2.0.? |
$[]$ |
| 4998.f1 |
4998d1 |
4998.f |
4998d |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{19} \cdot 3 \cdot 7^{3} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2856$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10944$ |
$1.085745$ |
$-12589171852447/7727480832$ |
$0.99328$ |
$4.31202$ |
$[1, 1, 0, -3392, -110592]$ |
\(y^2+xy=x^3+x^2-3392x-110592\) |
2856.2.0.? |
$[]$ |
| 4998.g1 |
4998a1 |
4998.g |
4998a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2 \cdot 3^{3} \cdot 7^{4} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$0.209225282$ |
$1$ |
|
$4$ |
$1872$ |
$0.303697$ |
$-3352478521/15606$ |
$0.93148$ |
$3.49012$ |
$[1, 1, 0, -417, 3123]$ |
\(y^2+xy=x^3+x^2-417x+3123\) |
24.2.0.b.1 |
$[(-1, 60)]$ |
| 4998.h1 |
4998c1 |
4998.h |
4998c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{3} \cdot 3 \cdot 7^{8} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5040$ |
$0.722922$ |
$10100279/6936$ |
$0.87994$ |
$3.72151$ |
$[1, 1, 0, 808, 4152]$ |
\(y^2+xy=x^3+x^2+808x+4152\) |
24.2.0.b.1 |
$[]$ |
| 4998.i1 |
4998h1 |
4998.i |
4998h |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2 \cdot 3^{7} \cdot 7^{3} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2856$ |
$2$ |
$0$ |
$0.402000836$ |
$1$ |
|
$4$ |
$4032$ |
$0.578074$ |
$-4599141247/21489462$ |
$0.96882$ |
$3.55677$ |
$[1, 1, 0, -242, 4278]$ |
\(y^2+xy=x^3+x^2-242x+4278\) |
2856.2.0.? |
$[(13, 53)]$ |
| 4998.j1 |
4998f2 |
4998.j |
4998f |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{30} \cdot 3 \cdot 7^{2} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1428$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12960$ |
$1.205605$ |
$5799070911693913/54760833024$ |
$1.06083$ |
$4.71871$ |
$[1, 1, 0, -13696, 606208]$ |
\(y^2+xy=x^3+x^2-13696x+606208\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 204.8.0.?, 1428.16.0.? |
$[]$ |
| 4998.j2 |
4998f1 |
4998.j |
4998f |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{10} \cdot 3^{3} \cdot 7^{2} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1428$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4320$ |
$0.656298$ |
$3914907891433/135834624$ |
$1.03156$ |
$3.86150$ |
$[1, 1, 0, -1201, -16043]$ |
\(y^2+xy=x^3+x^2-1201x-16043\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 204.8.0.?, 1428.16.0.? |
$[]$ |
| 4998.k1 |
4998l2 |
4998.k |
4998l |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{30} \cdot 3 \cdot 7^{8} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$204$ |
$16$ |
$0$ |
$2.755637005$ |
$1$ |
|
$0$ |
$90720$ |
$2.178558$ |
$5799070911693913/54760833024$ |
$1.06083$ |
$6.08959$ |
$[1, 0, 1, -671130, -209942708]$ |
\(y^2+xy+y=x^3-671130x-209942708\) |
3.8.0-3.a.1.1, 204.16.0.? |
$[(-4379/3, 39323/3)]$ |
| 4998.k2 |
4998l1 |
4998.k |
4998l |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{10} \cdot 3^{3} \cdot 7^{8} \cdot 17^{3} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$204$ |
$16$ |
$0$ |
$0.918545668$ |
$1$ |
|
$8$ |
$30240$ |
$1.629253$ |
$3914907891433/135834624$ |
$1.03156$ |
$5.23238$ |
$[1, 0, 1, -58875, 5326150]$ |
\(y^2+xy+y=x^3-58875x+5326150\) |
3.8.0-3.a.1.2, 204.16.0.? |
$[(47, 1608)]$ |
| 4998.l1 |
4998w2 |
4998.l |
4998w |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{7} \cdot 3^{4} \cdot 7^{12} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$952$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$129024$ |
$2.312344$ |
$18575453384550358633/352517816448$ |
$1.01892$ |
$6.58039$ |
$[1, 0, 1, -2703552, -1711197554]$ |
\(y^2+xy+y=x^3-2703552x-1711197554\) |
2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.? |
$[]$ |
| 4998.l2 |
4998w1 |
4998.l |
4998w |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{14} \cdot 3^{8} \cdot 7^{9} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$952$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$64512$ |
$1.965769$ |
$-4100379159705193/626805817344$ |
$1.03275$ |
$5.61945$ |
$[1, 0, 1, -163392, -28595570]$ |
\(y^2+xy+y=x^3-163392x-28595570\) |
2.3.0.a.1, 8.6.0.c.1, 238.6.0.?, 952.12.0.? |
$[]$ |
| 4998.m1 |
4998m1 |
4998.m |
4998m |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{24} \cdot 3^{7} \cdot 7^{10} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$204$ |
$2$ |
$0$ |
$1.248790677$ |
$1$ |
|
$4$ |
$282240$ |
$2.850357$ |
$1617840527930521321/623760113664$ |
$1.04264$ |
$7.20773$ |
$[1, 0, 1, -16047134, 24732961040]$ |
\(y^2+xy+y=x^3-16047134x+24732961040\) |
204.2.0.? |
$[(2085, 17389)]$ |
| 4998.n1 |
4998s1 |
4998.n |
4998s |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2 \cdot 3^{3} \cdot 7^{10} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13104$ |
$1.276651$ |
$-3352478521/15606$ |
$0.93148$ |
$4.86099$ |
$[1, 0, 1, -20459, -1132540]$ |
\(y^2+xy+y=x^3-20459x-1132540\) |
24.2.0.b.1 |
$[]$ |
| 4998.o1 |
4998t1 |
4998.o |
4998t |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{19} \cdot 3 \cdot 7^{9} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2856$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$76608$ |
$2.058701$ |
$-12589171852447/7727480832$ |
$0.99328$ |
$5.68290$ |
$[1, 0, 1, -166234, 37434380]$ |
\(y^2+xy+y=x^3-166234x+37434380\) |
2856.2.0.? |
$[]$ |
| 4998.p1 |
4998o1 |
4998.p |
4998o |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$0.928176459$ |
$1$ |
|
$2$ |
$720$ |
$-0.250032$ |
$10100279/6936$ |
$0.87994$ |
$2.35064$ |
$[1, 0, 1, 16, -10]$ |
\(y^2+xy+y=x^3+16x-10\) |
24.2.0.b.1 |
$[(8, 21)]$ |
| 4998.q1 |
4998n1 |
4998.q |
4998n |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{3} \cdot 3^{5} \cdot 7^{7} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2856$ |
$2$ |
$0$ |
$0.140917372$ |
$1$ |
|
$8$ |
$5760$ |
$0.770864$ |
$-5841725401/231336$ |
$0.88993$ |
$4.01911$ |
$[1, 0, 1, -1839, 31210]$ |
\(y^2+xy+y=x^3-1839x+31210\) |
2856.2.0.? |
$[(-10, 225)]$ |
| 4998.r1 |
4998p1 |
4998.r |
4998p |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2 \cdot 3^{7} \cdot 7^{9} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2856$ |
$2$ |
$0$ |
$1.139048290$ |
$1$ |
|
$4$ |
$28224$ |
$1.551029$ |
$-4599141247/21489462$ |
$0.96882$ |
$4.92765$ |
$[1, 0, 1, -11884, -1502980]$ |
\(y^2+xy+y=x^3-11884x-1502980\) |
2856.2.0.? |
$[(298, 4481)]$ |
| 4998.s1 |
4998u1 |
4998.s |
4998u |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{17} \cdot 3^{3} \cdot 7^{11} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2856$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$97920$ |
$2.146790$ |
$-344002044213921241/1011143540736$ |
$1.00402$ |
$6.11262$ |
$[1, 0, 1, -715279, 233372738]$ |
\(y^2+xy+y=x^3-715279x+233372738\) |
2856.2.0.? |
$[]$ |
| 4998.t1 |
4998r2 |
4998.t |
4998r |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{7} \cdot 3 \cdot 7^{3} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2856$ |
$12$ |
$0$ |
$4.656488247$ |
$1$ |
|
$2$ |
$16128$ |
$1.212271$ |
$814544990575471/9268826496$ |
$1.00393$ |
$4.71673$ |
$[1, 0, 1, -13620, 604594]$ |
\(y^2+xy+y=x^3-13620x+604594\) |
2.3.0.a.1, 168.6.0.?, 408.6.0.?, 476.6.0.?, 2856.12.0.? |
$[(118, 743)]$ |
| 4998.t2 |
4998r1 |
4998.t |
4998r |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{14} \cdot 3^{2} \cdot 7^{3} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2856$ |
$12$ |
$0$ |
$2.328244123$ |
$1$ |
|
$5$ |
$8064$ |
$0.865698$ |
$-1865409391/724451328$ |
$1.04561$ |
$3.95629$ |
$[1, 0, 1, -180, 23986]$ |
\(y^2+xy+y=x^3-180x+23986\) |
2.3.0.a.1, 168.6.0.?, 238.6.0.?, 408.6.0.?, 2856.12.0.? |
$[(97, 911)]$ |
| 4998.u1 |
4998q2 |
4998.u |
4998q |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{3} \cdot 3^{2} \cdot 7^{8} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$952$ |
$12$ |
$0$ |
$2.258744309$ |
$1$ |
|
$2$ |
$9216$ |
$1.133858$ |
$6141556990297/1019592$ |
$0.94654$ |
$4.82829$ |
$[1, 0, 1, -18695, -985246]$ |
\(y^2+xy+y=x^3-18695x-985246\) |
2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.? |
$[(228, 2458)]$ |
| 4998.u2 |
4998q1 |
4998.u |
4998q |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{6} \cdot 3^{4} \cdot 7^{7} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$952$ |
$12$ |
$0$ |
$1.129372154$ |
$1$ |
|
$7$ |
$4608$ |
$0.787285$ |
$-1102302937/616896$ |
$0.88613$ |
$3.89497$ |
$[1, 0, 1, -1055, -18574]$ |
\(y^2+xy+y=x^3-1055x-18574\) |
2.3.0.a.1, 8.6.0.c.1, 238.6.0.?, 952.12.0.? |
$[(60, 337)]$ |
| 4998.v1 |
4998v2 |
4998.v |
4998v |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{4} \cdot 3^{7} \cdot 7^{9} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$451584$ |
$3.030689$ |
$717647917494305598319/844621814448$ |
$1.05274$ |
$7.69488$ |
$[1, 0, 1, -63976925, -196967451544]$ |
\(y^2+xy+y=x^3-63976925x-196967451544\) |
2.3.0.a.1, 42.6.0.a.1, 204.6.0.?, 476.6.0.?, 1428.12.0.? |
$[]$ |
| 4998.v2 |
4998v1 |
4998.v |
4998v |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{14} \cdot 7^{9} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$225792$ |
$2.684113$ |
$-170915990723796079/6015674034432$ |
$1.02700$ |
$6.72227$ |
$[1, 0, 1, -3965645, -3131017144]$ |
\(y^2+xy+y=x^3-3965645x-3131017144\) |
2.3.0.a.1, 84.6.0.?, 204.6.0.?, 238.6.0.?, 1428.12.0.? |
$[]$ |
| 4998.w1 |
4998k2 |
4998.w |
4998k |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{12} \cdot 3^{5} \cdot 7^{8} \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$204$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1270080$ |
$3.264500$ |
$222165413800219579417/118033833938006016$ |
$1.07176$ |
$7.32873$ |
$[1, 0, 1, -22624502, -11858188408]$ |
\(y^2+xy+y=x^3-22624502x-11858188408\) |
3.8.0-3.a.1.1, 204.16.0.? |
$[]$ |
| 4998.w2 |
4998k1 |
4998.w |
4998k |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{4} \cdot 3^{15} \cdot 7^{8} \cdot 17^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$204$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$423360$ |
$2.715195$ |
$42531320912955257257/1127938881456$ |
$1.03695$ |
$7.13462$ |
$[1, 0, 1, -13039367, 18121613402]$ |
\(y^2+xy+y=x^3-13039367x+18121613402\) |
3.8.0-3.a.1.2, 204.16.0.? |
$[]$ |
| 4998.x1 |
4998x1 |
4998.x |
4998x |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{2} \cdot 3^{2} \cdot 7^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2880$ |
$0.209427$ |
$1771561/612$ |
$1.28490$ |
$3.06017$ |
$[1, 0, 1, -124, -346]$ |
\(y^2+xy+y=x^3-124x-346\) |
2.3.0.a.1, 8.6.0.d.1, 34.6.0.a.1, 136.12.0.? |
$[]$ |
| 4998.x2 |
4998x2 |
4998.x |
4998x |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2 \cdot 3^{4} \cdot 7^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5760$ |
$0.556001$ |
$46268279/46818$ |
$0.94894$ |
$3.44325$ |
$[1, 0, 1, 366, -2306]$ |
\(y^2+xy+y=x^3+366x-2306\) |
2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.? |
$[]$ |
| 4998.y1 |
4998bb1 |
4998.y |
4998bb |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{7} \cdot 3^{4} \cdot 7^{4} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$136$ |
$2$ |
$0$ |
$0.058394967$ |
$1$ |
|
$12$ |
$2688$ |
$0.420183$ |
$-3977954113/176256$ |
$0.93457$ |
$3.51793$ |
$[1, 1, 1, -442, 3527]$ |
\(y^2+xy+y=x^3+x^2-442x+3527\) |
136.2.0.? |
$[(-1, 63)]$ |
| 4998.z1 |
4998bc1 |
4998.z |
4998bc |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{7} \cdot 3^{3} \cdot 7^{9} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2856$ |
$2$ |
$0$ |
$0.726420750$ |
$1$ |
|
$4$ |
$9408$ |
$1.061075$ |
$53582633/58752$ |
$0.90492$ |
$4.14592$ |
$[1, 1, 1, 2694, -49785]$ |
\(y^2+xy+y=x^3+x^2+2694x-49785\) |
2856.2.0.? |
$[(69, 651)]$ |
| 4998.ba1 |
4998ba1 |
4998.ba |
4998ba |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{9} \cdot 3^{4} \cdot 7^{8} \cdot 17^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$136$ |
$2$ |
$0$ |
$0.439133594$ |
$1$ |
|
$6$ |
$1330560$ |
$3.459896$ |
$15001431500460925919/1421324083670155776$ |
$1.08813$ |
$7.61014$ |
$[1, 1, 1, 9212930, 137302547003]$ |
\(y^2+xy+y=x^3+x^2+9212930x+137302547003\) |
136.2.0.? |
$[(7127, 748125)]$ |
| 4998.bb1 |
4998bf1 |
4998.bb |
4998bf |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{13} \cdot 3^{9} \cdot 7^{10} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$117936$ |
$2.349575$ |
$3947714094191/46599266304$ |
$1.10487$ |
$6.03847$ |
$[1, 1, 1, 216040, -170134567]$ |
\(y^2+xy+y=x^3+x^2+216040x-170134567\) |
24.2.0.b.1 |
$[]$ |
| 4998.bc1 |
4998be1 |
4998.bc |
4998be |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{2} \cdot 3^{3} \cdot 7^{2} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$204$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$864$ |
$-0.143101$ |
$1387087009/1836$ |
$0.89717$ |
$2.92860$ |
$[1, 1, 1, -85, -337]$ |
\(y^2+xy+y=x^3+x^2-85x-337\) |
204.2.0.? |
$[]$ |
| 4998.bd1 |
4998z1 |
4998.bd |
4998z |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{6} \cdot 3 \cdot 7^{4} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$204$ |
$2$ |
$0$ |
$0.141756526$ |
$1$ |
|
$6$ |
$1440$ |
$0.012824$ |
$5764801/3264$ |
$1.25166$ |
$2.74175$ |
$[1, 1, 1, -50, -1]$ |
\(y^2+xy+y=x^3+x^2-50x-1\) |
204.2.0.? |
$[(-1, 7)]$ |
| 4998.be1 |
4998bd5 |
4998.be |
4998bd |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2 \cdot 3^{2} \cdot 7^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.213 |
2B |
$1904$ |
$192$ |
$1$ |
$1.755122514$ |
$1$ |
|
$0$ |
$49152$ |
$1.820034$ |
$2361739090258884097/5202$ |
$1.06083$ |
$6.33823$ |
$[1, 1, 1, -1359457, 609526973]$ |
\(y^2+xy+y=x^3+x^2-1359457x+609526973\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.r.1, 16.48.0.l.2, 28.12.0-4.c.1.1, $\ldots$ |
$[(2579/2, 7413/2)]$ |
| 4998.be2 |
4998bd3 |
4998.be |
4998bd |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{2} \cdot 3^{4} \cdot 7^{6} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.137 |
2Cs |
$952$ |
$192$ |
$1$ |
$3.510245028$ |
$1$ |
|
$4$ |
$24576$ |
$1.473459$ |
$576615941610337/27060804$ |
$1.03156$ |
$5.36160$ |
$[1, 1, 1, -84967, 9497081]$ |
\(y^2+xy+y=x^3+x^2-84967x+9497081\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.1, 28.24.0-4.b.1.1, 56.96.0-8.e.1.1, $\ldots$ |
$[(175, 72)]$ |
| 4998.be3 |
4998bd6 |
4998.be |
4998bd |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2 \cdot 3^{2} \cdot 7^{6} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.224 |
2B |
$1904$ |
$192$ |
$1$ |
$7.020490057$ |
$1$ |
|
$0$ |
$49152$ |
$1.820034$ |
$-491411892194497/125563633938$ |
$1.03624$ |
$5.38577$ |
$[1, 1, 1, -80557, 10532549]$ |
\(y^2+xy+y=x^3+x^2-80557x+10532549\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.m.2, 28.12.0-4.c.1.1, 56.96.0-8.m.2.1, $\ldots$ |
$[(259/2, 18657/2)]$ |
| 4998.be4 |
4998bd2 |
4998.be |
4998bd |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{4} \cdot 3^{8} \cdot 7^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.89 |
2Cs |
$952$ |
$192$ |
$1$ |
$1.755122514$ |
$1$ |
|
$8$ |
$12288$ |
$1.126886$ |
$163936758817/30338064$ |
$1.07571$ |
$4.40286$ |
$[1, 1, 1, -5587, 130241]$ |
\(y^2+xy+y=x^3+x^2-5587x+130241\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.h.2, 28.24.0-4.b.1.3, 56.96.0-8.h.2.3, $\ldots$ |
$[(13, 238)]$ |
| 4998.be5 |
4998bd1 |
4998.be |
4998bd |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{8} \cdot 3^{4} \cdot 7^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.101 |
2B |
$1904$ |
$192$ |
$1$ |
$0.877561257$ |
$1$ |
|
$9$ |
$6144$ |
$0.780313$ |
$4354703137/352512$ |
$1.05192$ |
$3.97685$ |
$[1, 1, 1, -1667, -24991]$ |
\(y^2+xy+y=x^3+x^2-1667x-24991\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0.bb.1, 28.12.0-4.c.1.2, $\ldots$ |
$[(-21, 46)]$ |
| 4998.be6 |
4998bd4 |
4998.be |
4998bd |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{2} \cdot 3^{16} \cdot 7^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.132 |
2B |
$1904$ |
$192$ |
$1$ |
$3.510245028$ |
$1$ |
|
$2$ |
$24576$ |
$1.473459$ |
$1276229915423/2927177028$ |
$1.03010$ |
$4.77136$ |
$[1, 1, 1, 11073, 776649]$ |
\(y^2+xy+y=x^3+x^2+11073x+776649\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.y.2, 28.12.0-4.c.1.2, $\ldots$ |
$[(251, 4284)]$ |
