| 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 |
| 18928.a1 |
18928r1 |
18928.a |
18928r |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{31} \cdot 7 \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$56$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1422720$ |
$2.665592$ |
$-19983597574473/3670016$ |
$1.02843$ |
$6.03790$ |
$[0, 0, 0, -8451859, 9459003346]$ |
\(y^2=x^3-8451859x+9459003346\) |
56.2.0.b.1 |
$[]$ |
| 18928.b1 |
18928bd1 |
18928.b |
18928bd |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{19} \cdot 7 \cdot 13^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$728$ |
$2$ |
$0$ |
$2.856999323$ |
$1$ |
|
$2$ |
$564480$ |
$2.290058$ |
$-1207949625/332678528$ |
$1.06089$ |
$5.15688$ |
$[0, 0, 0, -59995, -123519734]$ |
\(y^2=x^3-59995x-123519734\) |
728.2.0.? |
$[(2717, 140608)]$ |
| 18928.c1 |
18928be1 |
18928.c |
18928be |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{31} \cdot 7 \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$56$ |
$2$ |
$0$ |
$1.368159545$ |
$1$ |
|
$0$ |
$109440$ |
$1.383118$ |
$-19983597574473/3670016$ |
$1.02843$ |
$4.47524$ |
$[0, 0, 0, -50011, 4305418]$ |
\(y^2=x^3-50011x+4305418\) |
56.2.0.b.1 |
$[(1093/3, 4096/3)]$ |
| 18928.d1 |
18928s1 |
18928.d |
18928s |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{13} \cdot 7^{3} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$728$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$145152$ |
$1.417765$ |
$4019679/8918$ |
$1.11550$ |
$4.05708$ |
$[0, 0, 0, 8957, 549250]$ |
\(y^2=x^3+8957x+549250\) |
728.2.0.? |
$[]$ |
| 18928.e1 |
18928g1 |
18928.e |
18928g |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{8} \cdot 7 \cdot 13^{13} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$225792$ |
$2.090687$ |
$530208386048/439239619$ |
$0.96694$ |
$4.86692$ |
$[0, 1, 0, 180943, -19400549]$ |
\(y^2=x^3+x^2+180943x-19400549\) |
182.2.0.? |
$[]$ |
| 18928.f1 |
18928f1 |
18928.f |
18928f |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{10} \cdot 7^{2} \cdot 13^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$364$ |
$4$ |
$0$ |
$0.618707183$ |
$1$ |
|
$12$ |
$3840$ |
$0.036996$ |
$-114244/49$ |
$0.92353$ |
$2.46355$ |
$[0, 1, 0, -56, 196]$ |
\(y^2=x^3+x^2-56x+196\) |
4.2.0.a.1, 364.4.0.? |
$[(0, 14), (7, 14)]$ |
| 18928.g1 |
18928c1 |
18928.g |
18928c |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{10} \cdot 7^{2} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$28$ |
$4$ |
$0$ |
$0.435792318$ |
$1$ |
|
$6$ |
$49920$ |
$1.319471$ |
$-114244/49$ |
$0.92353$ |
$4.02621$ |
$[0, 1, 0, -9520, 468612]$ |
\(y^2=x^3+x^2-9520x+468612\) |
4.2.0.a.1, 28.4.0-4.a.1.1 |
$[(56, 338)]$ |
| 18928.h1 |
18928h2 |
18928.h |
18928h |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( 2^{11} \cdot 7^{2} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$37632$ |
$1.047806$ |
$3543122/49$ |
$1.08036$ |
$3.86813$ |
$[0, 1, 0, -6816, 211732]$ |
\(y^2=x^3+x^2-6816x+211732\) |
2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1 |
$[]$ |
| 18928.h2 |
18928h1 |
18928.h |
18928h |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{10} \cdot 7 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$18816$ |
$0.701232$ |
$-4/7$ |
$1.03482$ |
$3.22104$ |
$[0, 1, 0, -56, 8932]$ |
\(y^2=x^3+x^2-56x+8932\) |
2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1 |
$[]$ |
| 18928.i1 |
18928n1 |
18928.i |
18928n |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{23} \cdot 7^{7} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$728$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1241856$ |
$2.846790$ |
$-10824513276632329/21926008832$ |
$0.99602$ |
$6.15649$ |
$[0, -1, 0, -12461440, -16957149184]$ |
\(y^2=x^3-x^2-12461440x-16957149184\) |
728.2.0.? |
$[]$ |
| 18928.j1 |
18928y2 |
18928.j |
18928y |
$2$ |
$3$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{15} \cdot 7^{3} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2184$ |
$16$ |
$0$ |
$0.165168404$ |
$1$ |
|
$8$ |
$10368$ |
$0.577708$ |
$-156116857/2744$ |
$0.89198$ |
$3.28416$ |
$[0, -1, 0, -992, 12544]$ |
\(y^2=x^3-x^2-992x+12544\) |
3.4.0.a.1, 56.2.0.b.1, 156.8.0.?, 168.8.0.?, 2184.16.0.? |
$[(32, 112)]$ |
| 18928.j2 |
18928y1 |
18928.j |
18928y |
$2$ |
$3$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{13} \cdot 7 \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2184$ |
$16$ |
$0$ |
$0.495505212$ |
$1$ |
|
$4$ |
$3456$ |
$0.028402$ |
$17303/14$ |
$0.76938$ |
$2.35635$ |
$[0, -1, 0, 48, 64]$ |
\(y^2=x^3-x^2+48x+64\) |
3.4.0.a.1, 56.2.0.b.1, 156.8.0.?, 168.8.0.?, 2184.16.0.? |
$[(0, 8)]$ |
| 18928.k1 |
18928x3 |
18928.k |
18928x |
$3$ |
$9$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{13} \cdot 7 \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$6552$ |
$144$ |
$3$ |
$1.438608824$ |
$1$ |
|
$2$ |
$435456$ |
$2.656078$ |
$-424962187484640625/182$ |
$1.05379$ |
$6.52880$ |
$[0, -1, 0, -42352808, 106103380720]$ |
\(y^2=x^3-x^2-42352808x+106103380720\) |
3.4.0.a.1, 9.12.0.a.1, 156.8.0.?, 168.8.0.?, 468.24.0.?, $\ldots$ |
$[(3818, 6422)]$ |
| 18928.k2 |
18928x2 |
18928.k |
18928x |
$3$ |
$9$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{15} \cdot 7^{3} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.12.0.1 |
3Cs |
$6552$ |
$144$ |
$3$ |
$0.479536274$ |
$1$ |
|
$4$ |
$145152$ |
$2.106773$ |
$-795309684625/6028568$ |
$0.94067$ |
$5.19094$ |
$[0, -1, 0, -521928, 146253808]$ |
\(y^2=x^3-x^2-521928x+146253808\) |
3.12.0.a.1, 156.24.0.?, 168.24.0.?, 728.2.0.?, 819.36.0.?, $\ldots$ |
$[(1114, 30758)]$ |
| 18928.k3 |
18928x1 |
18928.k |
18928x |
$3$ |
$9$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{21} \cdot 7 \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$6552$ |
$144$ |
$3$ |
$1.438608824$ |
$1$ |
|
$2$ |
$48384$ |
$1.557467$ |
$37595375/46592$ |
$0.87083$ |
$4.19177$ |
$[0, -1, 0, 18872, 1059824]$ |
\(y^2=x^3-x^2+18872x+1059824\) |
3.4.0.a.1, 9.12.0.a.1, 156.8.0.?, 168.8.0.?, 468.24.0.?, $\ldots$ |
$[(74, 1690)]$ |
| 18928.l1 |
18928m2 |
18928.l |
18928m |
$2$ |
$3$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{15} \cdot 7^{3} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$134784$ |
$1.860182$ |
$-156116857/2744$ |
$0.89198$ |
$4.84682$ |
$[0, -1, 0, -167704, 26888432]$ |
\(y^2=x^3-x^2-167704x+26888432\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 56.2.0.b.1, 168.16.0.? |
$[]$ |
| 18928.l2 |
18928m1 |
18928.l |
18928m |
$2$ |
$3$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{13} \cdot 7 \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$44928$ |
$1.310877$ |
$17303/14$ |
$0.76938$ |
$3.91901$ |
$[0, -1, 0, 8056, 172912]$ |
\(y^2=x^3-x^2+8056x+172912\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 56.2.0.b.1, 168.16.0.? |
$[]$ |
| 18928.m1 |
18928w1 |
18928.m |
18928w |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{8} \cdot 7^{2} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$728$ |
$4$ |
$0$ |
$5.614815738$ |
$1$ |
|
$0$ |
$74880$ |
$1.612595$ |
$73008/49$ |
$0.83745$ |
$4.30456$ |
$[0, 0, 0, 28561, 742586]$ |
\(y^2=x^3+28561x+742586\) |
4.2.0.a.1, 728.4.0.? |
$[(-23/2, 6083/2)]$ |
| 18928.n1 |
18928b3 |
18928.n |
18928b |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( 2^{11} \cdot 7 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$728$ |
$48$ |
$0$ |
$5.090215724$ |
$1$ |
|
$1$ |
$36864$ |
$1.280441$ |
$1443468546/7$ |
$1.04654$ |
$4.47836$ |
$[0, 0, 0, -50531, -4372030]$ |
\(y^2=x^3-50531x-4372030\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 56.24.0.bp.1, 104.24.0.?, $\ldots$ |
$[(3055/3, 113230/3)]$ |
| 18928.n2 |
18928b4 |
18928.n |
18928b |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( 2^{11} \cdot 7^{4} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$728$ |
$48$ |
$0$ |
$1.272553931$ |
$1$ |
|
$7$ |
$36864$ |
$1.280441$ |
$11090466/2401$ |
$1.11706$ |
$3.98399$ |
$[0, 0, 0, -9971, 303186]$ |
\(y^2=x^3-9971x+303186\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 52.12.0-4.c.1.2, 56.24.0.v.1, $\ldots$ |
$[(29, 196)]$ |
| 18928.n3 |
18928b2 |
18928.n |
18928b |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( 2^{10} \cdot 7^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$728$ |
$48$ |
$0$ |
$2.545107862$ |
$1$ |
|
$7$ |
$18432$ |
$0.933868$ |
$740772/49$ |
$1.06534$ |
$3.63883$ |
$[0, 0, 0, -3211, -65910]$ |
\(y^2=x^3-3211x-65910\) |
2.6.0.a.1, 8.12.0.a.1, 28.12.0.b.1, 52.12.0-2.a.1.1, 56.24.0.d.1, $\ldots$ |
$[(-35, 60)]$ |
| 18928.n4 |
18928b1 |
18928.n |
18928b |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{8} \cdot 7 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$728$ |
$48$ |
$0$ |
$5.090215724$ |
$1$ |
|
$1$ |
$9216$ |
$0.587295$ |
$432/7$ |
$0.89152$ |
$3.07655$ |
$[0, 0, 0, 169, -4394]$ |
\(y^2=x^3+169x-4394\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[(217/3, 3160/3)]$ |
| 18928.o1 |
18928j3 |
18928.o |
18928j |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( 2^{17} \cdot 7^{3} \cdot 13^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$728$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2903040$ |
$3.425629$ |
$22868021811807457713/8953460393696$ |
$1.08758$ |
$6.93349$ |
$[0, 0, 0, -159897491, -777971387310]$ |
\(y^2=x^3-159897491x-777971387310\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 56.24.0.bp.1, 104.24.0.?, $\ldots$ |
$[]$ |
| 18928.o2 |
18928j4 |
18928.o |
18928j |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( 2^{17} \cdot 7^{12} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$728$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2903040$ |
$3.425629$ |
$3389174547561866673/74853681183008$ |
$1.05145$ |
$6.73963$ |
$[0, 0, 0, -84618131, 293828278354]$ |
\(y^2=x^3-84618131x+293828278354\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 52.12.0-4.c.1.2, 56.24.0.v.1, $\ldots$ |
$[]$ |
| 18928.o3 |
18928j2 |
18928.o |
18928j |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( 2^{22} \cdot 7^{6} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$728$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1451520$ |
$3.079056$ |
$8511781274893233/3440817243136$ |
$1.08472$ |
$6.13173$ |
$[0, 0, 0, -11501971, -8243825070]$ |
\(y^2=x^3-11501971x-8243825070\) |
2.6.0.a.1, 8.12.0.a.1, 28.12.0.b.1, 52.12.0-2.a.1.1, 56.24.0.d.1, $\ldots$ |
$[]$ |
| 18928.o4 |
18928j1 |
18928.o |
18928j |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{32} \cdot 7^{3} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$728$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$725760$ |
$2.732483$ |
$71903073502287/60782804992$ |
$1.03131$ |
$5.64699$ |
$[0, 0, 0, 2342509, -936708526]$ |
\(y^2=x^3+2342509x-936708526\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[]$ |
| 18928.p1 |
18928u1 |
18928.p |
18928u |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{8} \cdot 7^{6} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$56$ |
$4$ |
$0$ |
$8.175760644$ |
$1$ |
|
$0$ |
$134784$ |
$2.005863$ |
$-32209663824/117649$ |
$0.95899$ |
$5.10404$ |
$[0, 0, 0, -393263, -95222374]$ |
\(y^2=x^3-393263x-95222374\) |
4.2.0.a.1, 56.4.0-4.a.1.1 |
$[(16537/2, 2100539/2)]$ |
| 18928.q1 |
18928i1 |
18928.q |
18928i |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{8} \cdot 7^{6} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$728$ |
$4$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10368$ |
$0.723390$ |
$-32209663824/117649$ |
$0.95899$ |
$3.54138$ |
$[0, 0, 0, -2327, -43342]$ |
\(y^2=x^3-2327x-43342\) |
4.2.0.a.1, 728.4.0.? |
$[]$ |
| 18928.r1 |
18928a1 |
18928.r |
18928a |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{8} \cdot 7 \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$3.643498612$ |
$1$ |
|
$2$ |
$32256$ |
$1.284874$ |
$-135834624/15379$ |
$0.86662$ |
$4.04538$ |
$[0, 0, 0, -11492, 518492]$ |
\(y^2=x^3-11492x+518492\) |
182.2.0.? |
$[(481, 10309)]$ |
| 18928.s1 |
18928l1 |
18928.s |
18928l |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{12} \cdot 7 \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$26880$ |
$1.039293$ |
$110592/91$ |
$0.71571$ |
$3.58648$ |
$[0, 0, 0, 2704, -35152]$ |
\(y^2=x^3+2704x-35152\) |
182.2.0.? |
$[]$ |
| 18928.t1 |
18928k1 |
18928.t |
18928k |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{8} \cdot 7^{2} \cdot 13^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$56$ |
$4$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5760$ |
$0.330120$ |
$73008/49$ |
$0.83745$ |
$2.74190$ |
$[0, 0, 0, 169, 338]$ |
\(y^2=x^3+169x+338\) |
4.2.0.a.1, 56.4.0-4.a.1.1 |
$[]$ |
| 18928.u1 |
18928v1 |
18928.u |
18928v |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{8} \cdot 7^{5} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1.117664870$ |
$1$ |
|
$2$ |
$80640$ |
$1.645912$ |
$-86044336128/218491$ |
$0.99544$ |
$4.68273$ |
$[0, 0, 0, -98696, -11960468]$ |
\(y^2=x^3-98696x-11960468\) |
182.2.0.? |
$[(1378, 49686)]$ |
| 18928.v1 |
18928t1 |
18928.v |
18928t |
$2$ |
$5$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{13} \cdot 7 \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$3640$ |
$48$ |
$1$ |
$0.593986044$ |
$1$ |
|
$4$ |
$5760$ |
$0.308723$ |
$-226981/14$ |
$0.81013$ |
$2.88844$ |
$[0, 1, 0, -264, 1652]$ |
\(y^2=x^3+x^2-264x+1652\) |
5.6.0.a.1, 65.12.0.a.2, 260.24.0.?, 280.12.0.?, 728.2.0.?, $\ldots$ |
$[(4, 26)]$ |
| 18928.v2 |
18928t2 |
18928.v |
18928t |
$2$ |
$5$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{17} \cdot 7^{5} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$3640$ |
$48$ |
$1$ |
$2.969930223$ |
$1$ |
|
$2$ |
$28800$ |
$1.113443$ |
$5735339/537824$ |
$1.00587$ |
$3.72207$ |
$[0, 1, 0, 776, -105260]$ |
\(y^2=x^3+x^2+776x-105260\) |
5.6.0.a.1, 65.12.0.a.1, 260.24.0.?, 280.12.0.?, 728.2.0.?, $\ldots$ |
$[(108, 1118)]$ |
| 18928.w1 |
18928d1 |
18928.w |
18928d |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{11} \cdot 7 \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$728$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16128$ |
$0.980738$ |
$-31250/91$ |
$0.83978$ |
$3.57024$ |
$[0, 1, 0, -1408, 49492]$ |
\(y^2=x^3+x^2-1408x+49492\) |
728.2.0.? |
$[]$ |
| 18928.x1 |
18928bf1 |
18928.x |
18928bf |
$2$ |
$5$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{13} \cdot 7 \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$3640$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$74880$ |
$1.591198$ |
$-226981/14$ |
$0.81013$ |
$4.45110$ |
$[0, 1, 0, -44672, 3808052]$ |
\(y^2=x^3+x^2-44672x+3808052\) |
5.6.0.a.1, 65.12.0.a.2, 260.24.0.?, 280.12.0.?, 728.2.0.?, $\ldots$ |
$[]$ |
| 18928.x2 |
18928bf2 |
18928.x |
18928bf |
$2$ |
$5$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{17} \cdot 7^{5} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$3640$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$374400$ |
$2.395916$ |
$5735339/537824$ |
$1.00587$ |
$5.28473$ |
$[0, 1, 0, 131088, -231780652]$ |
\(y^2=x^3+x^2+131088x-231780652\) |
5.6.0.a.1, 65.12.0.a.1, 260.24.0.?, 280.12.0.?, 728.2.0.?, $\ldots$ |
$[]$ |
| 18928.y1 |
18928q1 |
18928.y |
18928q |
$2$ |
$3$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{14} \cdot 7^{2} \cdot 13^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$84$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$34560$ |
$0.997451$ |
$-1214950633/196$ |
$0.94977$ |
$4.01038$ |
$[0, -1, 0, -10872, -432784]$ |
\(y^2=x^3-x^2-10872x-432784\) |
3.4.0.a.1, 4.2.0.a.1, 6.8.0-3.a.1.1, 12.16.0-12.a.1.4, 28.4.0-4.a.1.1, $\ldots$ |
$[]$ |
| 18928.y2 |
18928q2 |
18928.y |
18928q |
$2$ |
$3$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{18} \cdot 7^{6} \cdot 13^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$84$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$103680$ |
$1.546757$ |
$17546087/7529536$ |
$1.06847$ |
$4.25097$ |
$[0, -1, 0, 2648, -1427856]$ |
\(y^2=x^3-x^2+2648x-1427856\) |
3.4.0.a.1, 4.2.0.a.1, 6.8.0-3.a.1.2, 12.16.0-12.a.1.2, 28.4.0-4.a.1.1, $\ldots$ |
$[]$ |
| 18928.z1 |
18928p1 |
18928.z |
18928p |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{8} \cdot 7 \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16128$ |
$0.812873$ |
$-65536/91$ |
$0.78564$ |
$3.37607$ |
$[0, -1, 0, -901, -18903]$ |
\(y^2=x^3-x^2-901x-18903\) |
182.2.0.? |
$[]$ |
| 18928.ba1 |
18928o1 |
18928.ba |
18928o |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{22} \cdot 7^{2} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$364$ |
$4$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11520$ |
$0.705811$ |
$15925559/50176$ |
$0.91331$ |
$3.20080$ |
$[0, -1, 0, 464, -8256]$ |
\(y^2=x^3-x^2+464x-8256\) |
4.2.0.a.1, 364.4.0.? |
$[]$ |
| 18928.bb1 |
18928z6 |
18928.bb |
18928z |
$6$ |
$18$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( 2^{21} \cdot 7^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 9.12.0.1 |
2B, 3B |
$6552$ |
$864$ |
$21$ |
$5.202750861$ |
$1$ |
|
$3$ |
$311040$ |
$2.388721$ |
$2251439055699625/25088$ |
$1.06489$ |
$5.99669$ |
$[0, -1, 0, -7383328, 7724400384]$ |
\(y^2=x^3-x^2-7383328x+7724400384\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 9.12.0.a.1, $\ldots$ |
$[(-1680, 124032)]$ |
| 18928.bb2 |
18928z5 |
18928.bb |
18928z |
$6$ |
$18$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{30} \cdot 7 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 9.12.0.1 |
2B, 3B |
$6552$ |
$864$ |
$21$ |
$10.40550172$ |
$1$ |
|
$1$ |
$155520$ |
$2.042149$ |
$-548347731625/1835008$ |
$1.02933$ |
$5.15245$ |
$[0, -1, 0, -461088, 121011968]$ |
\(y^2=x^3-x^2-461088x+121011968\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 9.12.0.a.1, $\ldots$ |
$[(871586/17, 794510574/17)]$ |
| 18928.bb3 |
18928z4 |
18928.bb |
18928z |
$6$ |
$18$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( 2^{15} \cdot 7^{6} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.12.0.1 |
2B, 3Cs |
$6552$ |
$864$ |
$21$ |
$1.734250287$ |
$1$ |
|
$3$ |
$103680$ |
$1.839417$ |
$4956477625/941192$ |
$1.00821$ |
$4.67400$ |
$[0, -1, 0, -96048, 9423296]$ |
\(y^2=x^3-x^2-96048x+9423296\) |
2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 8.6.0.b.1, 24.72.1.h.1, $\ldots$ |
$[(-328, 2352)]$ |
| 18928.bb4 |
18928z2 |
18928.bb |
18928z |
$6$ |
$18$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( 2^{13} \cdot 7^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 9.12.0.1 |
2B, 3B |
$6552$ |
$864$ |
$21$ |
$5.202750861$ |
$1$ |
|
$1$ |
$34560$ |
$1.290110$ |
$128787625/98$ |
$0.96763$ |
$4.30335$ |
$[0, -1, 0, -28448, -1836160]$ |
\(y^2=x^3-x^2-28448x-1836160\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 9.12.0.a.1, $\ldots$ |
$[(-2456/5, 3528/5)]$ |
| 18928.bb5 |
18928z1 |
18928.bb |
18928z |
$6$ |
$18$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{14} \cdot 7 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 9.12.0.1 |
2B, 3B |
$6552$ |
$864$ |
$21$ |
$10.40550172$ |
$1$ |
|
$1$ |
$17280$ |
$0.943537$ |
$-15625/28$ |
$1.01712$ |
$3.53095$ |
$[0, -1, 0, -1408, -40704]$ |
\(y^2=x^3-x^2-1408x-40704\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 9.12.0.a.1, $\ldots$ |
$[(135616/45, 36550864/45)]$ |
| 18928.bb6 |
18928z3 |
18928.bb |
18928z |
$6$ |
$18$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{18} \cdot 7^{3} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.12.0.1 |
2B, 3Cs |
$6552$ |
$864$ |
$21$ |
$3.468500574$ |
$1$ |
|
$3$ |
$51840$ |
$1.492844$ |
$9938375/21952$ |
$0.98695$ |
$4.14839$ |
$[0, -1, 0, 12112, 857024]$ |
\(y^2=x^3-x^2+12112x+857024\) |
2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 8.6.0.c.1, 14.6.0.b.1, $\ldots$ |
$[(2986, 163254)]$ |
| 18928.bc1 |
18928ba1 |
18928.bc |
18928ba |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{22} \cdot 7^{2} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$28$ |
$4$ |
$0$ |
$3.980968439$ |
$1$ |
|
$2$ |
$149760$ |
$1.988285$ |
$15925559/50176$ |
$0.91331$ |
$4.76346$ |
$[0, -1, 0, 78360, -17824912]$ |
\(y^2=x^3-x^2+78360x-17824912\) |
4.2.0.a.1, 28.4.0-4.a.1.1 |
$[(4169, 269724)]$ |
| 18928.bd1 |
18928e1 |
18928.bd |
18928e |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{8} \cdot 7^{3} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$32256$ |
$1.123730$ |
$-1024/4459$ |
$0.96270$ |
$3.73588$ |
$[0, -1, 0, -225, -112867]$ |
\(y^2=x^3-x^2-225x-112867\) |
182.2.0.? |
$[]$ |
| 18928.be1 |
18928bc1 |
18928.be |
18928bc |
$2$ |
$3$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{14} \cdot 7^{2} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$1092$ |
$32$ |
$0$ |
$32.49272959$ |
$1$ |
|
$0$ |
$449280$ |
$2.279926$ |
$-1214950633/196$ |
$0.94977$ |
$5.57304$ |
$[0, -1, 0, -1837424, -958176064]$ |
\(y^2=x^3-x^2-1837424x-958176064\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 78.8.0.?, 84.16.0.?, $\ldots$ |
$[(267742712492341/307990, 3733922916287075988189/307990)]$ |
