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 |
178.b2 |
178a1 |
178.b |
178a |
$2$ |
$3$ |
\( 2 \cdot 89 \) |
\( - 2^{12} \cdot 89 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$1068$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$32$ |
$-0.252186$ |
$23639903/364544$ |
$0.91882$ |
$3.90269$ |
$[1, 0, 0, 6, -28]$ |
\(y^2+xy=x^3+6x-28\) |
3.8.0-3.a.1.2, 356.2.0.?, 1068.16.0.? |
$[]$ |
1424.c2 |
1424c1 |
1424.c |
1424c |
$2$ |
$3$ |
\( 2^{4} \cdot 89 \) |
\( - 2^{24} \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1068$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$768$ |
$0.440961$ |
$23639903/364544$ |
$0.91882$ |
$3.93055$ |
$[0, -1, 0, 96, 1792]$ |
\(y^2=x^3-x^2+96x+1792\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 356.2.0.?, 534.8.0.?, 1068.16.0.? |
$[]$ |
1602.a2 |
1602b1 |
1602.a |
1602b |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 89 \) |
\( - 2^{12} \cdot 3^{6} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$1068$ |
$16$ |
$0$ |
$0.666696722$ |
$1$ |
|
$4$ |
$960$ |
$0.297120$ |
$23639903/364544$ |
$0.91882$ |
$3.63390$ |
$[1, -1, 0, 54, 756]$ |
\(y^2+xy=x^3-x^2+54x+756\) |
3.8.0-3.a.1.1, 356.2.0.?, 1068.16.0.? |
$[(4, 30)]$ |
4450.c2 |
4450b1 |
4450.c |
4450b |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 89 \) |
\( - 2^{12} \cdot 5^{6} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5340$ |
$16$ |
$0$ |
$1.769728410$ |
$1$ |
|
$2$ |
$3456$ |
$0.552532$ |
$23639903/364544$ |
$0.91882$ |
$3.55680$ |
$[1, 1, 0, 150, -3500]$ |
\(y^2+xy=x^3+x^2+150x-3500\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 356.2.0.?, 1068.8.0.?, 5340.16.0.? |
$[(36, 206)]$ |
5696.e2 |
5696b1 |
5696.e |
5696b |
$2$ |
$3$ |
\( 2^{6} \cdot 89 \) |
\( - 2^{30} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2136$ |
$16$ |
$0$ |
$1.012246266$ |
$1$ |
|
$4$ |
$6144$ |
$0.787535$ |
$23639903/364544$ |
$0.91882$ |
$3.78138$ |
$[0, -1, 0, 383, -14719]$ |
\(y^2=x^3-x^2+383x-14719\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 356.2.0.?, 1068.8.0.?, 2136.16.0.? |
$[(161, 2048)]$ |
5696.j2 |
5696i1 |
5696.j |
5696i |
$2$ |
$3$ |
\( 2^{6} \cdot 89 \) |
\( - 2^{30} \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2136$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6144$ |
$0.787535$ |
$23639903/364544$ |
$0.91882$ |
$3.78138$ |
$[0, 1, 0, 383, 14719]$ |
\(y^2=x^3+x^2+383x+14719\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 356.2.0.?, 1068.8.0.?, 2136.16.0.? |
$[]$ |
8722.m2 |
8722o1 |
8722.m |
8722o |
$2$ |
$3$ |
\( 2 \cdot 7^{2} \cdot 89 \) |
\( - 2^{12} \cdot 7^{6} \cdot 89 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7476$ |
$16$ |
$0$ |
$0.146525650$ |
$1$ |
|
$26$ |
$9216$ |
$0.720769$ |
$23639903/364544$ |
$0.91882$ |
$3.51551$ |
$[1, 1, 1, 293, 9897]$ |
\(y^2+xy+y=x^3+x^2+293x+9897\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 356.2.0.?, 1068.8.0.?, 7476.16.0.? |
$[(27, 182), (-1, 98)]$ |
12816.c2 |
12816m1 |
12816.c |
12816m |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 89 \) |
\( - 2^{24} \cdot 3^{6} \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1068$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$23040$ |
$0.990267$ |
$23639903/364544$ |
$0.91882$ |
$3.71438$ |
$[0, 0, 0, 861, -49246]$ |
\(y^2=x^3+861x-49246\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 356.2.0.?, 534.8.0.?, 1068.16.0.? |
$[]$ |
15842.b2 |
15842b1 |
15842.b |
15842b |
$2$ |
$3$ |
\( 2 \cdot 89^{2} \) |
\( - 2^{12} \cdot 89^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1068$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$253440$ |
$1.992132$ |
$23639903/364544$ |
$0.91882$ |
$4.87618$ |
$[1, 1, 1, 47361, -20071067]$ |
\(y^2+xy+y=x^3+x^2+47361x-20071067\) |
3.4.0.a.1, 12.8.0-3.a.1.3, 267.8.0.?, 356.2.0.?, 1068.16.0.? |
$[]$ |
21538.b2 |
21538a1 |
21538.b |
21538a |
$2$ |
$3$ |
\( 2 \cdot 11^{2} \cdot 89 \) |
\( - 2^{12} \cdot 11^{6} \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$11748$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$34560$ |
$0.946761$ |
$23639903/364544$ |
$0.91882$ |
$3.46880$ |
$[1, 0, 1, 723, 37992]$ |
\(y^2+xy+y=x^3+723x+37992\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 356.2.0.?, 1068.8.0.?, 11748.16.0.? |
$[]$ |
30082.e2 |
30082d1 |
30082.e |
30082d |
$2$ |
$3$ |
\( 2 \cdot 13^{2} \cdot 89 \) |
\( - 2^{12} \cdot 13^{6} \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$13884$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$73728$ |
$1.030289$ |
$23639903/364544$ |
$0.91882$ |
$3.45361$ |
$[1, 0, 1, 1010, -62528]$ |
\(y^2+xy+y=x^3+1010x-62528\) |
3.4.0.a.1, 39.8.0-3.a.1.1, 356.2.0.?, 1068.8.0.?, 13884.16.0.? |
$[]$ |
35600.z2 |
35600r1 |
35600.z |
35600r |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 89 \) |
\( - 2^{24} \cdot 5^{6} \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5340$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$82944$ |
$1.245680$ |
$23639903/364544$ |
$0.91882$ |
$3.64474$ |
$[0, 1, 0, 2392, 228788]$ |
\(y^2=x^3+x^2+2392x+228788\) |
3.4.0.a.1, 60.8.0-3.a.1.2, 356.2.0.?, 1068.8.0.?, 2670.8.0.?, $\ldots$ |
$[]$ |
40050.bo2 |
40050bi1 |
40050.bo |
40050bi |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 89 \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{6} \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5340$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$103680$ |
$1.101839$ |
$23639903/364544$ |
$0.91882$ |
$3.44136$ |
$[1, -1, 1, 1345, 95847]$ |
\(y^2+xy+y=x^3-x^2+1345x+95847\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 356.2.0.?, 1068.8.0.?, 5340.16.0.? |
$[]$ |
51264.be2 |
51264u1 |
51264.be |
51264u |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 89 \) |
\( - 2^{30} \cdot 3^{6} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2136$ |
$16$ |
$0$ |
$2.781772286$ |
$1$ |
|
$0$ |
$184320$ |
$1.336840$ |
$23639903/364544$ |
$0.91882$ |
$3.62306$ |
$[0, 0, 0, 3444, 393968]$ |
\(y^2=x^3+3444x+393968\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 356.2.0.?, 1068.8.0.?, 2136.16.0.? |
$[(-242/3, 14336/3)]$ |
51264.bf2 |
51264bl1 |
51264.bf |
51264bl |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 89 \) |
\( - 2^{30} \cdot 3^{6} \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2136$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$184320$ |
$1.336840$ |
$23639903/364544$ |
$0.91882$ |
$3.62306$ |
$[0, 0, 0, 3444, -393968]$ |
\(y^2=x^3+3444x-393968\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 356.2.0.?, 1068.8.0.?, 2136.16.0.? |
$[]$ |
51442.d2 |
51442f1 |
51442.d |
51442f |
$2$ |
$3$ |
\( 2 \cdot 17^{2} \cdot 89 \) |
\( - 2^{12} \cdot 17^{6} \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$18156$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$161280$ |
$1.164421$ |
$23639903/364544$ |
$0.91882$ |
$3.43118$ |
$[1, 1, 1, 1728, -139295]$ |
\(y^2+xy+y=x^3+x^2+1728x-139295\) |
3.4.0.a.1, 51.8.0-3.a.1.2, 356.2.0.?, 1068.8.0.?, 18156.16.0.? |
$[]$ |
64258.b2 |
64258b1 |
64258.b |
64258b |
$2$ |
$3$ |
\( 2 \cdot 19^{2} \cdot 89 \) |
\( - 2^{12} \cdot 19^{6} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$20292$ |
$16$ |
$0$ |
$2.451711602$ |
$1$ |
|
$2$ |
$216000$ |
$1.220034$ |
$23639903/364544$ |
$0.91882$ |
$3.42252$ |
$[1, 1, 0, 2159, 196373]$ |
\(y^2+xy=x^3+x^2+2159x+196373\) |
3.4.0.a.1, 57.8.0-3.a.1.1, 356.2.0.?, 1068.8.0.?, 20292.16.0.? |
$[(2, 447)]$ |
69776.q2 |
69776y1 |
69776.q |
69776y |
$2$ |
$3$ |
\( 2^{4} \cdot 7^{2} \cdot 89 \) |
\( - 2^{24} \cdot 7^{6} \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7476$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$221184$ |
$1.413916$ |
$23639903/364544$ |
$0.91882$ |
$3.60584$ |
$[0, 1, 0, 4688, -624044]$ |
\(y^2=x^3+x^2+4688x-624044\) |
3.4.0.a.1, 84.8.0.?, 356.2.0.?, 1068.8.0.?, 3738.8.0.?, $\ldots$ |
$[]$ |
78498.y2 |
78498t1 |
78498.y |
78498t |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 89 \) |
\( - 2^{12} \cdot 3^{6} \cdot 7^{6} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7476$ |
$16$ |
$0$ |
$2.676757323$ |
$1$ |
|
$4$ |
$276480$ |
$1.270075$ |
$23639903/364544$ |
$0.91882$ |
$3.41501$ |
$[1, -1, 0, 2637, -264587]$ |
\(y^2+xy=x^3-x^2+2637x-264587\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 356.2.0.?, 1068.8.0.?, 7476.16.0.? |
$[(51, -1)]$ |
94162.t2 |
94162r1 |
94162.t |
94162r |
$2$ |
$3$ |
\( 2 \cdot 23^{2} \cdot 89 \) |
\( - 2^{12} \cdot 23^{6} \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$24564$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$399168$ |
$1.315561$ |
$23639903/364544$ |
$0.91882$ |
$3.40842$ |
$[1, 0, 0, 3163, 347009]$ |
\(y^2+xy=x^3+3163x+347009\) |
3.4.0.a.1, 69.8.0-3.a.1.2, 356.2.0.?, 1068.8.0.?, 24564.16.0.? |
$[]$ |
126736.f2 |
126736d1 |
126736.f |
126736d |
$2$ |
$3$ |
\( 2^{4} \cdot 89^{2} \) |
\( - 2^{24} \cdot 89^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1068$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$6082560$ |
$2.685280$ |
$23639903/364544$ |
$0.91882$ |
$4.72112$ |
$[0, 1, 0, 757776, 1286063828]$ |
\(y^2=x^3+x^2+757776x+1286063828\) |
3.4.0.a.1, 6.8.0-3.a.1.1, 356.2.0.?, 1068.16.0.? |
$[]$ |
142400.v2 |
142400l1 |
142400.v |
142400l |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 89 \) |
\( - 2^{30} \cdot 5^{6} \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$10680$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$663552$ |
$1.592253$ |
$23639903/364544$ |
$0.91882$ |
$3.56942$ |
$[0, -1, 0, 9567, 1820737]$ |
\(y^2=x^3-x^2+9567x+1820737\) |
3.4.0.a.1, 120.8.0.?, 356.2.0.?, 1068.8.0.?, 10680.16.0.? |
$[]$ |
142400.cs2 |
142400de1 |
142400.cs |
142400de |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 89 \) |
\( - 2^{30} \cdot 5^{6} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$10680$ |
$16$ |
$0$ |
$12.04744725$ |
$1$ |
|
$0$ |
$663552$ |
$1.592253$ |
$23639903/364544$ |
$0.91882$ |
$3.56942$ |
$[0, 1, 0, 9567, -1820737]$ |
\(y^2=x^3+x^2+9567x-1820737\) |
3.4.0.a.1, 120.8.0.?, 356.2.0.?, 1068.8.0.?, 10680.16.0.? |
$[(6445099/219, 14514927616/219)]$ |
142578.a2 |
142578h1 |
142578.a |
142578h |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 89^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 89^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1068$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7603200$ |
$2.541439$ |
$23639903/364544$ |
$0.91882$ |
$4.52881$ |
$[1, -1, 0, 426249, 542345053]$ |
\(y^2+xy=x^3-x^2+426249x+542345053\) |
3.4.0.a.1, 12.8.0-3.a.1.4, 267.8.0.?, 356.2.0.?, 1068.16.0.? |
$[]$ |
149698.b2 |
149698e1 |
149698.b |
149698e |
$2$ |
$3$ |
\( 2 \cdot 29^{2} \cdot 89 \) |
\( - 2^{12} \cdot 29^{6} \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$30972$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$806400$ |
$1.431461$ |
$23639903/364544$ |
$0.91882$ |
$3.39253$ |
$[1, 1, 0, 5029, -692963]$ |
\(y^2+xy=x^3+x^2+5029x-692963\) |
3.4.0.a.1, 87.8.0.?, 356.2.0.?, 1068.8.0.?, 30972.16.0.? |
$[]$ |
171058.j2 |
171058b1 |
171058.j |
171058b |
$2$ |
$3$ |
\( 2 \cdot 31^{2} \cdot 89 \) |
\( - 2^{12} \cdot 31^{6} \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$33108$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$959040$ |
$1.464808$ |
$23639903/364544$ |
$0.91882$ |
$3.38818$ |
$[1, 1, 1, 5746, 851403]$ |
\(y^2+xy+y=x^3+x^2+5746x+851403\) |
3.4.0.a.1, 93.8.0.?, 356.2.0.?, 1068.8.0.?, 33108.16.0.? |
$[]$ |
172304.f2 |
172304f1 |
172304.f |
172304f |
$2$ |
$3$ |
\( 2^{4} \cdot 11^{2} \cdot 89 \) |
\( - 2^{24} \cdot 11^{6} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$11748$ |
$16$ |
$0$ |
$5.491366856$ |
$1$ |
|
$0$ |
$829440$ |
$1.639908$ |
$23639903/364544$ |
$0.91882$ |
$3.56042$ |
$[0, -1, 0, 11576, -2431504]$ |
\(y^2=x^3-x^2+11576x-2431504\) |
3.4.0.a.1, 132.8.0.?, 356.2.0.?, 1068.8.0.?, 5874.8.0.?, $\ldots$ |
$[(2674/5, 17182/5)]$ |
193842.p2 |
193842b1 |
193842.p |
193842b |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 89 \) |
\( - 2^{12} \cdot 3^{6} \cdot 11^{6} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$11748$ |
$16$ |
$0$ |
$1.722396974$ |
$1$ |
|
$2$ |
$1036800$ |
$1.496067$ |
$23639903/364544$ |
$0.91882$ |
$3.38420$ |
$[1, -1, 1, 6511, -1025791]$ |
\(y^2+xy+y=x^3-x^2+6511x-1025791\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 356.2.0.?, 1068.8.0.?, 11748.16.0.? |
$[(223, 3276)]$ |
218050.bb2 |
218050de1 |
218050.bb |
218050de |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 89 \) |
\( - 2^{12} \cdot 5^{6} \cdot 7^{6} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$37380$ |
$16$ |
$0$ |
$1.627352633$ |
$1$ |
|
$2$ |
$995328$ |
$1.525488$ |
$23639903/364544$ |
$0.91882$ |
$3.38052$ |
$[1, 0, 1, 7324, 1222498]$ |
\(y^2+xy+y=x^3+7324x+1222498\) |
3.4.0.a.1, 105.8.0.?, 356.2.0.?, 1068.8.0.?, 37380.16.0.? |
$[(193, 3039)]$ |
240656.j2 |
240656j1 |
240656.j |
240656j |
$2$ |
$3$ |
\( 2^{4} \cdot 13^{2} \cdot 89 \) |
\( - 2^{24} \cdot 13^{6} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$13884$ |
$16$ |
$0$ |
$2.353306985$ |
$1$ |
|
$2$ |
$1769472$ |
$1.723436$ |
$23639903/364544$ |
$0.91882$ |
$3.54531$ |
$[0, -1, 0, 16168, 4001776]$ |
\(y^2=x^3-x^2+16168x+4001776\) |
3.4.0.a.1, 156.8.0.?, 356.2.0.?, 1068.8.0.?, 6942.8.0.?, $\ldots$ |
$[(74, 2366)]$ |
243682.b2 |
243682b1 |
243682.b |
243682b |
$2$ |
$3$ |
\( 2 \cdot 37^{2} \cdot 89 \) |
\( - 2^{12} \cdot 37^{6} \cdot 89 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$39516$ |
$16$ |
$0$ |
$5.948842023$ |
$1$ |
|
$4$ |
$1548288$ |
$1.553272$ |
$23639903/364544$ |
$0.91882$ |
$3.37711$ |
$[1, 0, 1, 8185, -1442870]$ |
\(y^2+xy+y=x^3+8185x-1442870\) |
3.4.0.a.1, 111.8.0.?, 356.2.0.?, 1068.8.0.?, 39516.16.0.? |
$[(1951/3, 84676/3), (103, 652)]$ |
270738.cm2 |
270738cm1 |
270738.cm |
270738cm |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 89 \) |
\( - 2^{12} \cdot 3^{6} \cdot 13^{6} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$13884$ |
$16$ |
$0$ |
$2.030676680$ |
$1$ |
|
$2$ |
$2211840$ |
$1.579594$ |
$23639903/364544$ |
$0.91882$ |
$3.37394$ |
$[1, -1, 1, 9094, 1688249]$ |
\(y^2+xy+y=x^3-x^2+9094x+1688249\) |
3.4.0.a.1, 39.8.0-3.a.1.2, 356.2.0.?, 1068.8.0.?, 13884.16.0.? |
$[(-29, 1197)]$ |
279104.be2 |
279104be1 |
279104.be |
279104be |
$2$ |
$3$ |
\( 2^{6} \cdot 7^{2} \cdot 89 \) |
\( - 2^{30} \cdot 7^{6} \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$14952$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1769472$ |
$1.760490$ |
$23639903/364544$ |
$0.91882$ |
$3.53886$ |
$[0, -1, 0, 18751, -5011103]$ |
\(y^2=x^3-x^2+18751x-5011103\) |
3.4.0.a.1, 168.8.0.?, 356.2.0.?, 1068.8.0.?, 14952.16.0.? |
$[]$ |
279104.bz2 |
279104bz1 |
279104.bz |
279104bz |
$2$ |
$3$ |
\( 2^{6} \cdot 7^{2} \cdot 89 \) |
\( - 2^{30} \cdot 7^{6} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$14952$ |
$16$ |
$0$ |
$2.960132059$ |
$1$ |
|
$2$ |
$1769472$ |
$1.760490$ |
$23639903/364544$ |
$0.91882$ |
$3.53886$ |
$[0, 1, 0, 18751, 5011103]$ |
\(y^2=x^3+x^2+18751x+5011103\) |
3.4.0.a.1, 168.8.0.?, 356.2.0.?, 1068.8.0.?, 14952.16.0.? |
$[(-19, 2156)]$ |
299218.e2 |
299218e1 |
299218.e |
299218e |
$2$ |
$3$ |
\( 2 \cdot 41^{2} \cdot 89 \) |
\( - 2^{12} \cdot 41^{6} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$43788$ |
$16$ |
$0$ |
$2.948472505$ |
$1$ |
|
$0$ |
$2257920$ |
$1.604599$ |
$23639903/364544$ |
$0.91882$ |
$3.37097$ |
$[1, 1, 1, 10051, -1959981]$ |
\(y^2+xy+y=x^3+x^2+10051x-1959981\) |
3.4.0.a.1, 123.8.0.?, 356.2.0.?, 1068.8.0.?, 43788.16.0.? |
$[(3519/5, 179412/5)]$ |
320400.c2 |
320400c1 |
320400.c |
320400c |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 89 \) |
\( - 2^{24} \cdot 3^{6} \cdot 5^{6} \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5340$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2488320$ |
$1.794987$ |
$23639903/364544$ |
$0.91882$ |
$3.53300$ |
$[0, 0, 0, 21525, -6155750]$ |
\(y^2=x^3+21525x-6155750\) |
3.4.0.a.1, 60.8.0-3.a.1.1, 356.2.0.?, 1068.8.0.?, 2670.8.0.?, $\ldots$ |
$[]$ |
329122.a2 |
329122a1 |
329122.a |
329122a |
$2$ |
$3$ |
\( 2 \cdot 43^{2} \cdot 89 \) |
\( - 2^{12} \cdot 43^{6} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$45924$ |
$16$ |
$0$ |
$5.333610280$ |
$1$ |
|
$2$ |
$2600640$ |
$1.628414$ |
$23639903/364544$ |
$0.91882$ |
$3.36819$ |
$[1, 1, 0, 11056, 2270464]$ |
\(y^2+xy=x^3+x^2+11056x+2270464\) |
3.4.0.a.1, 129.8.0.?, 356.2.0.?, 1068.8.0.?, 45924.16.0.? |
$[(1568, 61488)]$ |
393202.e2 |
393202e1 |
393202.e |
393202e |
$2$ |
$3$ |
\( 2 \cdot 47^{2} \cdot 89 \) |
\( - 2^{12} \cdot 47^{6} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$50196$ |
$16$ |
$0$ |
$1.067619440$ |
$1$ |
|
$4$ |
$3179520$ |
$1.672888$ |
$23639903/364544$ |
$0.91882$ |
$3.36310$ |
$[1, 0, 0, 13208, 2959936]$ |
\(y^2+xy=x^3+13208x+2959936\) |
3.4.0.a.1, 141.8.0.?, 356.2.0.?, 1068.8.0.?, 50196.16.0.? |
$[(90, 2164)]$ |
396050.h2 |
396050h1 |
396050.h |
396050h |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 89^{2} \) |
\( - 2^{12} \cdot 5^{6} \cdot 89^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5340$ |
$16$ |
$0$ |
$3.078703268$ |
$1$ |
|
$2$ |
$27371520$ |
$2.796852$ |
$23639903/364544$ |
$0.91882$ |
$4.40764$ |
$[1, 0, 1, 1184024, -2511251402]$ |
\(y^2+xy+y=x^3+1184024x-2511251402\) |
3.4.0.a.1, 60.8.0-3.a.1.4, 356.2.0.?, 1068.8.0.?, 1335.8.0.?, $\ldots$ |
$[(14633, 1766987)]$ |
411536.l2 |
411536l1 |
411536.l |
411536l |
$2$ |
$3$ |
\( 2^{4} \cdot 17^{2} \cdot 89 \) |
\( - 2^{24} \cdot 17^{6} \cdot 89 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$18156$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3870720$ |
$1.857567$ |
$23639903/364544$ |
$0.91882$ |
$3.52268$ |
$[0, 1, 0, 27648, 8970164]$ |
\(y^2=x^3+x^2+27648x+8970164\) |
3.4.0.a.1, 204.8.0.?, 356.2.0.?, 1068.8.0.?, 9078.8.0.?, $\ldots$ |
$[]$ |
462978.bc2 |
462978bc1 |
462978.bc |
462978bc |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 17^{2} \cdot 89 \) |
\( - 2^{12} \cdot 3^{6} \cdot 17^{6} \cdot 89 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$18156$ |
$16$ |
$0$ |
$14.93302445$ |
$1$ |
|
$0$ |
$4838400$ |
$1.713726$ |
$23639903/364544$ |
$0.91882$ |
$3.35856$ |
$[1, -1, 0, 15552, 3776512]$ |
\(y^2+xy=x^3-x^2+15552x+3776512\) |
3.4.0.a.1, 51.8.0-3.a.1.1, 356.2.0.?, 1068.8.0.?, 18156.16.0.? |
$[(10965376/285, 65220710144/285)]$ |