| 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 |
| 7098.a1 |
7098e1 |
7098.a |
7098e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{2} \cdot 3^{4} \cdot 7^{4} \cdot 13^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$52$ |
$16$ |
$0$ |
$0.119947092$ |
$1$ |
|
$24$ |
$3840$ |
$0.250126$ |
$-552611137/777924$ |
$0.93538$ |
$2.98767$ |
$[1, 1, 0, -94, 616]$ |
\(y^2+xy=x^3+x^2-94x+616\) |
4.8.0.b.1, 52.16.0-4.b.1.1 |
$[(-5, 34), (2, 20)]$ |
| 7098.b1 |
7098d1 |
7098.b |
7098d |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{17} \cdot 3^{7} \cdot 7 \cdot 13^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$799680$ |
$2.971756$ |
$-112205650221491190337/745029571313664$ |
$1.03121$ |
$6.94305$ |
$[1, 1, 0, -16981799, -27096574539]$ |
\(y^2+xy=x^3+x^2-16981799x-27096574539\) |
2184.2.0.? |
$[]$ |
| 7098.c1 |
7098c1 |
7098.c |
7098c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{11} \cdot 3^{5} \cdot 7 \cdot 13^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7920$ |
$0.814157$ |
$-6468095257/3483648$ |
$0.97900$ |
$3.77869$ |
$[1, 1, 0, -1186, 21364]$ |
\(y^2+xy=x^3+x^2-1186x+21364\) |
168.2.0.? |
$[]$ |
| 7098.d1 |
7098g1 |
7098.d |
7098g |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{7} \cdot 3^{3} \cdot 7 \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$4.247286961$ |
$1$ |
|
$0$ |
$26208$ |
$1.454325$ |
$41781923/24192$ |
$1.10608$ |
$4.58215$ |
$[1, 1, 0, 15883, 24237]$ |
\(y^2+xy=x^3+x^2+15883x+24237\) |
2184.2.0.? |
$[(229/5, 51057/5)]$ |
| 7098.e1 |
7098a1 |
7098.e |
7098a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{5} \cdot 3 \cdot 7^{3} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1.556870617$ |
$1$ |
|
$4$ |
$18720$ |
$1.273348$ |
$77086633/32928$ |
$0.91206$ |
$4.36197$ |
$[1, 1, 0, -8284, 145072]$ |
\(y^2+xy=x^3+x^2-8284x+145072\) |
168.2.0.? |
$[(-99, 134)]$ |
| 7098.f1 |
7098b4 |
7098.f |
7098b |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.120 |
2B |
$1456$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$30720$ |
$1.471577$ |
$268498407453697/252$ |
$1.05727$ |
$5.48218$ |
$[1, 1, 0, -227139, 41571873]$ |
\(y^2+xy=x^3+x^2-227139x+41571873\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 16.48.0.z.2, 28.12.0.h.1, $\ldots$ |
$[]$ |
| 7098.f2 |
7098b5 |
7098.f |
7098b |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2 \cdot 3^{4} \cdot 7^{8} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$1456$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$61440$ |
$1.818150$ |
$84448510979617/933897762$ |
$1.05309$ |
$5.35173$ |
$[1, 1, 0, -154469, -23207517]$ |
\(y^2+xy=x^3+x^2-154469x-23207517\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 52.12.0-4.c.1.1, 104.96.0.?, $\ldots$ |
$[]$ |
| 7098.f3 |
7098b3 |
7098.f |
7098b |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{8} \cdot 7^{4} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.96 |
2Cs |
$728$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$30720$ |
$1.471577$ |
$124475734657/63011844$ |
$1.06499$ |
$4.61649$ |
$[1, 1, 0, -17579, 310185]$ |
\(y^2+xy=x^3+x^2-17579x+310185\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.f.1, 52.24.0-4.b.1.1, 56.96.1.bp.2, $\ldots$ |
$[]$ |
| 7098.f4 |
7098b2 |
7098.f |
7098b |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 7^{2} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.97 |
2Cs |
$728$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$15360$ |
$1.125002$ |
$65597103937/63504$ |
$1.01692$ |
$4.54426$ |
$[1, 1, 0, -14199, 644805]$ |
\(y^2+xy=x^3+x^2-14199x+644805\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.i.1, 28.24.0.c.1, 52.24.0-4.b.1.3, $\ldots$ |
$[]$ |
| 7098.f5 |
7098b1 |
7098.f |
7098b |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{2} \cdot 7 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.102 |
2B |
$1456$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$7680$ |
$0.778429$ |
$-7189057/16128$ |
$0.98224$ |
$3.69461$ |
$[1, 1, 0, -679, 14773]$ |
\(y^2+xy=x^3+x^2-679x+14773\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 14.6.0.b.1, 16.48.0.z.1, $\ldots$ |
$[]$ |
| 7098.f6 |
7098b6 |
7098.f |
7098b |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2 \cdot 3^{16} \cdot 7^{2} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.204 |
2B |
$1456$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$61440$ |
$1.818150$ |
$6359387729183/4218578658$ |
$1.08314$ |
$5.06008$ |
$[1, 1, 0, 65231, 2479807]$ |
\(y^2+xy=x^3+x^2+65231x+2479807\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.k.1, 16.48.0.e.1, 52.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 7098.g1 |
7098f1 |
7098.g |
7098f |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2 \cdot 3^{7} \cdot 7^{5} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$131040$ |
$1.925154$ |
$249395415529/73513818$ |
$0.97337$ |
$5.27336$ |
$[1, 1, 0, -122528, 11512350]$ |
\(y^2+xy=x^3+x^2-122528x+11512350\) |
168.2.0.? |
$[]$ |
| 7098.h1 |
7098l1 |
7098.h |
7098l |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2 \cdot 3^{3} \cdot 7^{5} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$65520$ |
$1.786867$ |
$-1223745654937/907578$ |
$0.97178$ |
$5.45288$ |
$[1, 0, 1, -208212, -36609116]$ |
\(y^2+xy+y=x^3-208212x-36609116\) |
168.2.0.? |
$[]$ |
| 7098.i1 |
7098j1 |
7098.i |
7098j |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{17} \cdot 3 \cdot 7 \cdot 13^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11424$ |
$0.921000$ |
$368728437337/2752512$ |
$0.99450$ |
$4.16046$ |
$[1, 0, 1, -4567, 117626]$ |
\(y^2+xy+y=x^3-4567x+117626\) |
168.2.0.? |
$[]$ |
| 7098.j1 |
7098k3 |
7098.j |
7098k |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2 \cdot 3 \cdot 7^{4} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$32256$ |
$1.406446$ |
$8020417344913/187278$ |
$0.95653$ |
$5.08625$ |
$[1, 0, 1, -70477, 7195346]$ |
\(y^2+xy+y=x^3-70477x+7195346\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0.bb.1, 104.12.0.?, $\ldots$ |
$[]$ |
| 7098.j2 |
7098k2 |
7098.j |
7098k |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$16128$ |
$1.059874$ |
$2181825073/298116$ |
$0.95664$ |
$4.16046$ |
$[1, 0, 1, -4567, 103430]$ |
\(y^2+xy+y=x^3-4567x+103430\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 56.12.0.a.1, 104.12.0.?, 168.24.0.?, $\ldots$ |
$[]$ |
| 7098.j3 |
7098k1 |
7098.j |
7098k |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8064$ |
$0.713300$ |
$38272753/4368$ |
$0.84174$ |
$3.70450$ |
$[1, 0, 1, -1187, -14194]$ |
\(y^2+xy+y=x^3-1187x-14194\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0.bb.1, 104.12.0.?, $\ldots$ |
$[]$ |
| 7098.j4 |
7098k4 |
7098.j |
7098k |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2 \cdot 3^{4} \cdot 7 \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$32256$ |
$1.406446$ |
$8780064047/32388174$ |
$1.00545$ |
$4.50711$ |
$[1, 0, 1, 7263, 552970]$ |
\(y^2+xy+y=x^3+7263x+552970\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0.v.1, 104.12.0.?, $\ldots$ |
$[]$ |
| 7098.k1 |
7098o3 |
7098.k |
7098o |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{10} \cdot 3 \cdot 7^{5} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$10920$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$156000$ |
$2.365520$ |
$124318741396429/51631104$ |
$1.01214$ |
$6.26309$ |
$[1, 0, 1, -2284377, 1328255164]$ |
\(y^2+xy+y=x^3-2284377x+1328255164\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 40.36.0.c.1, 65.24.0-65.a.1.2, $\ldots$ |
$[]$ |
| 7098.k2 |
7098o4 |
7098.k |
7098o |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{5} \cdot 3^{2} \cdot 7^{10} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$10920$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$312000$ |
$2.712093$ |
$-75306487574989/81352871712$ |
$1.10847$ |
$6.32533$ |
$[1, 0, 1, -1932857, 1751063420]$ |
\(y^2+xy+y=x^3-1932857x+1751063420\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 40.36.0.f.1, 65.24.0-65.a.1.2, $\ldots$ |
$[]$ |
| 7098.k3 |
7098o1 |
7098.k |
7098o |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{5} \cdot 7 \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$10920$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$31200$ |
$1.560802$ |
$4649101309/6804$ |
$0.94447$ |
$5.11352$ |
$[1, 0, 1, -76392, -8122814]$ |
\(y^2+xy+y=x^3-76392x-8122814\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 40.36.0.c.2, 65.24.0-65.a.2.3, $\ldots$ |
$[]$ |
| 7098.k4 |
7098o2 |
7098.k |
7098o |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2 \cdot 3^{10} \cdot 7^{2} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$10920$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$62400$ |
$1.907375$ |
$-1680914269/5786802$ |
$1.04977$ |
$5.21741$ |
$[1, 0, 1, -54422, -12885910]$ |
\(y^2+xy+y=x^3-54422x-12885910\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 40.36.0.f.2, 65.24.0-65.a.2.3, $\ldots$ |
$[]$ |
| 7098.l1 |
7098h2 |
7098.l |
7098h |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2 \cdot 3 \cdot 7^{3} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2184$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$78624$ |
$1.986570$ |
$531373116625/2058$ |
$0.99657$ |
$5.93717$ |
$[1, 0, 1, -871706, -313330054]$ |
\(y^2+xy+y=x^3-871706x-313330054\) |
3.4.0.a.1, 39.8.0-3.a.1.2, 168.8.0.?, 2184.16.0.? |
$[]$ |
| 7098.l2 |
7098h1 |
7098.l |
7098h |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{3} \cdot 3^{3} \cdot 7 \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2184$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$26208$ |
$1.437263$ |
$2640625/1512$ |
$1.13480$ |
$4.55999$ |
$[1, 0, 1, -14876, -73006]$ |
\(y^2+xy+y=x^3-14876x-73006\) |
3.4.0.a.1, 39.8.0-3.a.1.1, 168.8.0.?, 2184.16.0.? |
$[]$ |
| 7098.m1 |
7098n2 |
7098.m |
7098n |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{21} \cdot 3^{3} \cdot 7^{3} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$168$ |
$16$ |
$0$ |
$1.029337034$ |
$1$ |
|
$4$ |
$235872$ |
$2.462135$ |
$673822943613625/19421724672$ |
$1.00793$ |
$6.16444$ |
$[1, 0, 1, -1706566, -836589544]$ |
\(y^2+xy+y=x^3-1706566x-836589544\) |
3.8.0-3.a.1.1, 168.16.0.? |
$[(-662, 2105)]$ |
| 7098.m2 |
7098n1 |
7098.m |
7098n |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{7} \cdot 3^{9} \cdot 7 \cdot 13^{8} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$168$ |
$16$ |
$0$ |
$3.088011102$ |
$1$ |
|
$6$ |
$78624$ |
$1.912830$ |
$1515434103625/17635968$ |
$0.97352$ |
$5.47685$ |
$[1, 0, 1, -223591, 40263914]$ |
\(y^2+xy+y=x^3-223591x+40263914\) |
3.8.0-3.a.1.2, 168.16.0.? |
$[(244, 377)]$ |
| 7098.n1 |
7098i2 |
7098.n |
7098i |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2 \cdot 3 \cdot 7 \cdot 13^{13} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$2184$ |
$96$ |
$2$ |
$1$ |
$49$ |
$7$ |
$0$ |
$1382976$ |
$3.329021$ |
$-5486773802537974663600129/2635437714$ |
$1.05935$ |
$8.15940$ |
$[1, 0, 1, -620989828, -5956328145220]$ |
\(y^2+xy+y=x^3-620989828x-5956328145220\) |
7.24.0.a.2, 91.48.0.?, 168.48.0.?, 2184.96.2.? |
$[]$ |
| 7098.n2 |
7098i1 |
7098.n |
7098i |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{7} \cdot 3^{7} \cdot 7^{7} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$2184$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$197568$ |
$2.356068$ |
$40251338884511/2997011332224$ |
$1.03878$ |
$5.81504$ |
$[1, 0, 1, 120662, -182269540]$ |
\(y^2+xy+y=x^3+120662x-182269540\) |
7.24.0.a.1, 91.48.0.?, 168.48.0.?, 2184.96.2.? |
$[]$ |
| 7098.o1 |
7098m1 |
7098.o |
7098m |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{13} \cdot 3^{11} \cdot 7^{3} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$1.320798763$ |
$1$ |
|
$4$ |
$535392$ |
$2.908699$ |
$-5022437771811277/497757560832$ |
$1.03078$ |
$6.69804$ |
$[1, 0, 1, -7838393, 9140787164]$ |
\(y^2+xy+y=x^3-7838393x+9140787164\) |
2184.2.0.? |
$[(2718, 87619)]$ |
| 7098.p1 |
7098p1 |
7098.p |
7098p |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{5} \cdot 3^{5} \cdot 7 \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$10920$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$12000$ |
$0.866923$ |
$-82318551880501/54432$ |
$1.01009$ |
$4.48110$ |
$[1, 0, 1, -11782, -493192]$ |
\(y^2+xy+y=x^3-11782x-493192\) |
5.6.0.a.1, 65.24.0-65.a.2.3, 840.12.0.?, 2184.2.0.?, 10920.48.1.? |
$[]$ |
| 7098.p2 |
7098p2 |
7098.p |
7098p |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{25} \cdot 3 \cdot 7^{5} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$10920$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$60000$ |
$1.671642$ |
$721710134999099/1691848015872$ |
$1.20310$ |
$4.85171$ |
$[1, 0, 1, 24293, -2543578]$ |
\(y^2+xy+y=x^3+24293x-2543578\) |
5.6.0.a.1, 65.24.0-65.a.1.2, 840.12.0.?, 2184.2.0.?, 10920.48.1.? |
$[]$ |
| 7098.q1 |
7098s1 |
7098.q |
7098s |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2 \cdot 3^{7} \cdot 7^{5} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10080$ |
$0.642679$ |
$249395415529/73513818$ |
$0.97337$ |
$3.53786$ |
$[1, 1, 1, -725, 4961]$ |
\(y^2+xy+y=x^3+x^2-725x+4961\) |
168.2.0.? |
$[]$ |
| 7098.r1 |
7098v1 |
7098.r |
7098v |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{5} \cdot 3 \cdot 7^{3} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$0.147321105$ |
$1$ |
|
$8$ |
$1440$ |
$-0.009127$ |
$77086633/32928$ |
$0.91206$ |
$2.62646$ |
$[1, 1, 1, -49, 47]$ |
\(y^2+xy+y=x^3+x^2-49x+47\) |
168.2.0.? |
$[(-5, 16)]$ |
| 7098.s1 |
7098t1 |
7098.s |
7098t |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{7} \cdot 3^{3} \cdot 7 \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$0.289172269$ |
$1$ |
|
$6$ |
$2016$ |
$0.171850$ |
$41781923/24192$ |
$1.10608$ |
$2.84665$ |
$[1, 1, 1, 94, 47]$ |
\(y^2+xy+y=x^3+x^2+94x+47\) |
2184.2.0.? |
$[(5, 23)]$ |
| 7098.t1 |
7098u1 |
7098.t |
7098u |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2 \cdot 3^{5} \cdot 7^{3} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$2.349130176$ |
$1$ |
|
$0$ |
$20160$ |
$1.300653$ |
$-141339344329/2167074$ |
$0.92745$ |
$4.63377$ |
$[1, 1, 1, -18340, -976201]$ |
\(y^2+xy+y=x^3+x^2-18340x-976201\) |
2184.2.0.? |
$[(631/2, 1731/2)]$ |
| 7098.u1 |
7098q1 |
7098.u |
7098q |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{11} \cdot 3^{5} \cdot 7 \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$102960$ |
$2.096634$ |
$-6468095257/3483648$ |
$0.97900$ |
$5.51420$ |
$[1, 1, 1, -200522, 47939159]$ |
\(y^2+xy+y=x^3+x^2-200522x+47939159\) |
168.2.0.? |
$[]$ |
| 7098.v1 |
7098r1 |
7098.v |
7098r |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{2} \cdot 3^{4} \cdot 7^{4} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.16.0.2 |
|
$4$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$49920$ |
$1.532600$ |
$-552611137/777924$ |
$0.93538$ |
$4.72317$ |
$[1, 1, 1, -15974, 1433063]$ |
\(y^2+xy+y=x^3+x^2-15974x+1433063\) |
4.16.0-4.b.1.1 |
$[]$ |
| 7098.w1 |
7098x3 |
7098.w |
7098x |
$3$ |
$9$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{27} \cdot 3 \cdot 7 \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$6552$ |
$144$ |
$3$ |
$1.041334043$ |
$1$ |
|
$2$ |
$326592$ |
$2.433933$ |
$-1956469094246217097/36641439744$ |
$1.01732$ |
$6.48514$ |
$[1, 0, 0, -4403552, -3557170176]$ |
\(y^2+xy=x^3-4403552x-3557170176\) |
3.4.0.a.1, 9.12.0.a.1, 39.8.0-3.a.1.2, 117.24.0.?, 168.8.0.?, $\ldots$ |
$[(3264, 128160)]$ |
| 7098.w2 |
7098x2 |
7098.w |
7098x |
$3$ |
$9$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{3} \cdot 7^{3} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.12.0.1 |
3Cs |
$6552$ |
$144$ |
$3$ |
$0.347111347$ |
$1$ |
|
$6$ |
$108864$ |
$1.884628$ |
$-198461344537/10417365504$ |
$1.00967$ |
$5.17866$ |
$[1, 0, 0, -20537, -10849671]$ |
\(y^2+xy=x^3-20537x-10849671\) |
3.12.0.a.1, 39.24.0-3.a.1.1, 168.24.0.?, 819.72.0.?, 2184.48.1.?, $\ldots$ |
$[(898, 25915)]$ |
| 7098.w3 |
7098x1 |
7098.w |
7098x |
$3$ |
$9$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{3} \cdot 3^{9} \cdot 7 \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$6552$ |
$144$ |
$3$ |
$0.115703782$ |
$1$ |
|
$8$ |
$36288$ |
$1.335321$ |
$270840023/14329224$ |
$0.96753$ |
$4.43315$ |
$[1, 0, 0, 2278, 398124]$ |
\(y^2+xy=x^3+2278x+398124\) |
3.4.0.a.1, 9.12.0.a.1, 39.8.0-3.a.1.1, 117.24.0.?, 168.8.0.?, $\ldots$ |
$[(-38, 526)]$ |
| 7098.x1 |
7098z1 |
7098.x |
7098z |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{5} \cdot 3^{5} \cdot 7 \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$10920$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$156000$ |
$2.149399$ |
$-82318551880501/54432$ |
$1.01009$ |
$6.21660$ |
$[1, 0, 0, -1991077, -1081551199]$ |
\(y^2+xy=x^3-1991077x-1081551199\) |
5.6.0.a.1, 65.24.0-65.a.2.2, 840.12.0.?, 2184.2.0.?, 10920.48.1.? |
$[]$ |
| 7098.x2 |
7098z2 |
7098.x |
7098z |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{25} \cdot 3 \cdot 7^{5} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$10920$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$780000$ |
$2.954117$ |
$721710134999099/1691848015872$ |
$1.20310$ |
$6.58722$ |
$[1, 0, 0, 4105598, -5592345916]$ |
\(y^2+xy=x^3+4105598x-5592345916\) |
5.6.0.a.1, 65.24.0-65.a.1.3, 840.12.0.?, 2184.2.0.?, 10920.48.1.? |
$[]$ |
| 7098.y1 |
7098bf1 |
7098.y |
7098bf |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{13} \cdot 3^{11} \cdot 7^{3} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$0.016637435$ |
$1$ |
|
$24$ |
$41184$ |
$1.626225$ |
$-5022437771811277/497757560832$ |
$1.03078$ |
$4.96253$ |
$[1, 0, 0, -46381, 4157009]$ |
\(y^2+xy=x^3-46381x+4157009\) |
2184.2.0.? |
$[(170, 1007)]$ |
| 7098.z1 |
7098bb1 |
7098.z |
7098bb |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{5} \cdot 3 \cdot 7 \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6720$ |
$0.763220$ |
$-47045881/8736$ |
$0.98493$ |
$3.75916$ |
$[1, 0, 0, -1271, -20151]$ |
\(y^2+xy=x^3-1271x-20151\) |
2184.2.0.? |
$[]$ |
| 7098.ba1 |
7098w2 |
7098.ba |
7098w |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{21} \cdot 3^{3} \cdot 7^{3} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2184$ |
$16$ |
$0$ |
$0.237176392$ |
$1$ |
|
$8$ |
$18144$ |
$1.179661$ |
$673822943613625/19421724672$ |
$1.00793$ |
$4.42894$ |
$[1, 0, 0, -10098, -381564]$ |
\(y^2+xy=x^3-10098x-381564\) |
3.4.0.a.1, 39.8.0-3.a.1.2, 168.8.0.?, 2184.16.0.? |
$[(-60, 126)]$ |
| 7098.ba2 |
7098w1 |
7098.ba |
7098w |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{7} \cdot 3^{9} \cdot 7 \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2184$ |
$16$ |
$0$ |
$0.079058797$ |
$1$ |
|
$12$ |
$6048$ |
$0.630355$ |
$1515434103625/17635968$ |
$0.97352$ |
$3.74134$ |
$[1, 0, 0, -1323, 18225]$ |
\(y^2+xy=x^3-1323x+18225\) |
3.4.0.a.1, 39.8.0-3.a.1.1, 168.8.0.?, 2184.16.0.? |
$[(18, 9)]$ |
| 7098.bb1 |
7098ba2 |
7098.bb |
7098ba |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2 \cdot 3 \cdot 7^{3} \cdot 13^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6048$ |
$0.704096$ |
$531373116625/2058$ |
$0.99657$ |
$4.20166$ |
$[1, 0, 0, -5158, -143014]$ |
\(y^2+xy=x^3-5158x-143014\) |
3.8.0-3.a.1.1, 168.16.0.? |
$[]$ |
| 7098.bb2 |
7098ba1 |
7098.bb |
7098ba |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{3} \cdot 3^{3} \cdot 7 \cdot 13^{4} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$2016$ |
$0.154789$ |
$2640625/1512$ |
$1.13480$ |
$2.82449$ |
$[1, 0, 0, -88, -40]$ |
\(y^2+xy=x^3-88x-40\) |
3.8.0-3.a.1.2, 168.16.0.? |
$[]$ |
| 7098.bc1 |
7098y3 |
7098.bc |
7098y |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{10} \cdot 3 \cdot 7^{5} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$10920$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$12000$ |
$1.083046$ |
$124318741396429/51631104$ |
$1.01214$ |
$4.52759$ |
$[1, 0, 0, -13517, 603537]$ |
\(y^2+xy=x^3-13517x+603537\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 40.36.0.c.1, 65.24.0-65.a.1.3, $\ldots$ |
$[]$ |
| 7098.bc2 |
7098y4 |
7098.bc |
7098y |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{5} \cdot 3^{2} \cdot 7^{10} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$10920$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$24000$ |
$1.429619$ |
$-75306487574989/81352871712$ |
$1.10847$ |
$4.58983$ |
$[1, 0, 0, -11437, 796145]$ |
\(y^2+xy=x^3-11437x+796145\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 40.36.0.f.1, 65.24.0-65.a.1.3, $\ldots$ |
$[]$ |
