| 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 |
| 392784.a1 |
392784a1 |
392784.a |
392784a |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( - 2^{35} \cdot 3^{2} \cdot 7^{6} \cdot 167 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1336$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8743680$ |
$2.293213$ |
$19785968032823/12608077824$ |
$0.98193$ |
$3.92898$ |
$[0, -1, 0, 441768, 35791344]$ |
\(y^2=x^3-x^2+441768x+35791344\) |
1336.2.0.? |
$[]$ |
| 392784.b1 |
392784b1 |
392784.b |
392784b |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( 2^{11} \cdot 3^{9} \cdot 7^{11} \cdot 167 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28056$ |
$2$ |
$0$ |
$5.159691646$ |
$1$ |
|
$2$ |
$11059200$ |
$2.512634$ |
$10034321309852114/55245634227$ |
$0.92751$ |
$4.35873$ |
$[0, -1, 0, -2796152, 1792006224]$ |
\(y^2=x^3-x^2-2796152x+1792006224\) |
28056.2.0.? |
$[(-1262, 57526)]$ |
| 392784.c1 |
392784c1 |
392784.c |
392784c |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( - 2^{17} \cdot 3^{2} \cdot 7^{8} \cdot 167 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1336$ |
$2$ |
$0$ |
$0.944298212$ |
$1$ |
|
$16$ |
$2096640$ |
$1.586134$ |
$-55164193/48096$ |
$0.79693$ |
$3.30951$ |
$[0, -1, 0, -22752, 2098944]$ |
\(y^2=x^3-x^2-22752x+2098944\) |
1336.2.0.? |
$[(-16, 1568), (33, 1176)]$ |
| 392784.d1 |
392784d1 |
392784.d |
392784d |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( - 2^{19} \cdot 3^{2} \cdot 7^{2} \cdot 167 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1336$ |
$2$ |
$0$ |
$1.507276076$ |
$1$ |
|
$10$ |
$1806336$ |
$1.547331$ |
$-7461495947842657/192384$ |
$0.99538$ |
$3.78527$ |
$[0, -1, 0, -238352, 44869056]$ |
\(y^2=x^3-x^2-238352x+44869056\) |
1336.2.0.? |
$[(280, 64), (34136/11, 3648/11)]$ |
| 392784.e1 |
392784e2 |
392784.e |
392784e |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( 2^{11} \cdot 3^{2} \cdot 7^{7} \cdot 167^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9352$ |
$12$ |
$0$ |
$2.288945552$ |
$1$ |
|
$15$ |
$1966080$ |
$1.699167$ |
$984955046546/1757007$ |
$0.86043$ |
$3.64225$ |
$[0, -1, 0, -128984, 17845584]$ |
\(y^2=x^3-x^2-128984x+17845584\) |
2.3.0.a.1, 56.6.0.a.1, 668.6.0.?, 9352.12.0.? |
$[(194, 294), (34, 3674)]$ |
| 392784.e2 |
392784e1 |
392784.e |
392784e |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( - 2^{10} \cdot 3^{4} \cdot 7^{8} \cdot 167 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9352$ |
$12$ |
$0$ |
$2.288945552$ |
$1$ |
|
$17$ |
$983040$ |
$1.352594$ |
$-153091012/662823$ |
$0.80075$ |
$3.07362$ |
$[0, -1, 0, -5504, 459600]$ |
\(y^2=x^3-x^2-5504x+459600\) |
2.3.0.a.1, 56.6.0.d.1, 334.6.0.?, 9352.12.0.? |
$[(-2, 686), (-44, 784)]$ |
| 392784.f1 |
392784f3 |
392784.f |
392784f |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( 2^{21} \cdot 3^{8} \cdot 7^{8} \cdot 167 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$9352$ |
$48$ |
$0$ |
$32.49419682$ |
$1$ |
|
$1$ |
$222953472$ |
$4.122208$ |
$1233864675106127856683588593/27488595456$ |
$1.08261$ |
$6.39493$ |
$[0, -1, 0, -17518516864, 892476847550464]$ |
\(y^2=x^3-x^2-17518516864x+892476847550464\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 56.24.0-8.p.1.1, 1336.24.0.?, $\ldots$ |
$[(16055645168129986/440719, 259409849220291266751330/440719)]$ |
| 392784.f2 |
392784f4 |
392784.f |
392784f |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( 2^{21} \cdot 3^{2} \cdot 7^{14} \cdot 167^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$9352$ |
$48$ |
$0$ |
$8.123549206$ |
$1$ |
|
$1$ |
$222953472$ |
$4.122208$ |
$316393918884564908858353/20661539369919533568$ |
$1.05986$ |
$5.75300$ |
$[0, -1, 0, -1112971904, 13461281107968]$ |
\(y^2=x^3-x^2-1112971904x+13461281107968\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 28.12.0-4.c.1.2, 56.24.0-8.k.1.2, $\ldots$ |
$[(22420032/29, 40343253888/29)]$ |
| 392784.f3 |
392784f2 |
392784.f |
392784f |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( 2^{30} \cdot 3^{4} \cdot 7^{10} \cdot 167^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$9352$ |
$48$ |
$0$ |
$16.24709841$ |
$1$ |
|
$3$ |
$111476736$ |
$3.775635$ |
$301237516670332318563313/1421837758365696$ |
$1.06656$ |
$5.74919$ |
$[0, -1, 0, -1094908544, 13945191297024]$ |
\(y^2=x^3-x^2-1094908544x+13945191297024\) |
2.6.0.a.1, 8.12.0.a.1, 28.12.0-2.a.1.1, 56.24.0-8.a.1.1, 668.12.0.?, $\ldots$ |
$[(91454786/47, 653146626978/47)]$ |
| 392784.f4 |
392784f1 |
392784.f |
392784f |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( - 2^{48} \cdot 3^{2} \cdot 7^{8} \cdot 167 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$9352$ |
$48$ |
$0$ |
$8.123549206$ |
$1$ |
|
$3$ |
$55738368$ |
$3.429062$ |
$-69967989877865233393/5060983303176192$ |
$0.97487$ |
$5.10873$ |
$[0, -1, 0, -67304064, 225438363648]$ |
\(y^2=x^3-x^2-67304064x+225438363648\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 28.12.0-4.c.1.1, 56.24.0-8.p.1.4, $\ldots$ |
$[(-5118, 660162)]$ |
| 392784.g1 |
392784g1 |
392784.g |
392784g |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( - 2^{12} \cdot 3^{3} \cdot 7^{13} \cdot 167 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$7014$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5806080$ |
$2.182083$ |
$-51147440128/3713355387$ |
$1.01794$ |
$3.84217$ |
$[0, -1, 0, -60629, 64636125]$ |
\(y^2=x^3-x^2-60629x+64636125\) |
7014.2.0.? |
$[]$ |
| 392784.h1 |
392784h2 |
392784.h |
392784h |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( 2^{18} \cdot 3 \cdot 7^{7} \cdot 167^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$14028$ |
$12$ |
$0$ |
$6.048721631$ |
$1$ |
|
$3$ |
$10616832$ |
$2.416595$ |
$40671029123395273/37482816$ |
$0.93907$ |
$4.52119$ |
$[0, -1, 0, -5616984, -5122050576]$ |
\(y^2=x^3-x^2-5616984x-5122050576\) |
2.3.0.a.1, 42.6.0.a.1, 668.6.0.?, 14028.12.0.? |
$[(4562, 253330)]$ |
| 392784.h2 |
392784h1 |
392784.h |
392784h |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( - 2^{24} \cdot 3^{2} \cdot 7^{8} \cdot 167 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$14028$ |
$12$ |
$0$ |
$3.024360815$ |
$1$ |
|
$5$ |
$5308416$ |
$2.070019$ |
$-9714044119753/301658112$ |
$0.88624$ |
$3.87781$ |
$[0, -1, 0, -348504, -81168912]$ |
\(y^2=x^3-x^2-348504x-81168912\) |
2.3.0.a.1, 84.6.0.?, 334.6.0.?, 14028.12.0.? |
$[(978, 22638)]$ |
| 392784.i1 |
392784i1 |
392784.i |
392784i |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( 2^{4} \cdot 3^{7} \cdot 7^{7} \cdot 167^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$14028$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2150400$ |
$1.814705$ |
$888770622281728/426952701$ |
$0.99153$ |
$3.79387$ |
$[0, -1, 0, -247319, -47238666]$ |
\(y^2=x^3-x^2-247319x-47238666\) |
2.3.0.a.1, 42.6.0.a.1, 668.6.0.?, 14028.12.0.? |
$[]$ |
| 392784.i2 |
392784i2 |
392784.i |
392784i |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( - 2^{8} \cdot 3^{14} \cdot 7^{8} \cdot 167 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$14028$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4300800$ |
$2.161278$ |
$-32288802541648/39139035327$ |
$0.96178$ |
$3.83945$ |
$[0, -1, 0, -206404, -63424640]$ |
\(y^2=x^3-x^2-206404x-63424640\) |
2.3.0.a.1, 84.6.0.?, 334.6.0.?, 14028.12.0.? |
$[]$ |
| 392784.j1 |
392784j1 |
392784.j |
392784j |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( - 2^{12} \cdot 3 \cdot 7^{7} \cdot 167 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$7014$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$497664$ |
$1.092793$ |
$-43614208/3507$ |
$0.75200$ |
$2.92789$ |
$[0, -1, 0, -5749, -177155]$ |
\(y^2=x^3-x^2-5749x-177155\) |
7014.2.0.? |
$[]$ |
| 392784.k1 |
392784k2 |
392784.k |
392784k |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( 2^{16} \cdot 3^{4} \cdot 7^{3} \cdot 167^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4676$ |
$12$ |
$0$ |
$5.246702352$ |
$1$ |
|
$11$ |
$884736$ |
$1.345190$ |
$175521936799/36144144$ |
$0.88551$ |
$3.10896$ |
$[0, -1, 0, -13064, 465648]$ |
\(y^2=x^3-x^2-13064x+465648\) |
2.3.0.a.1, 28.6.0.a.1, 668.6.0.?, 4676.12.0.? |
$[(26, 378), (98, 342)]$ |
| 392784.k2 |
392784k1 |
392784.k |
392784k |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( 2^{20} \cdot 3^{2} \cdot 7^{3} \cdot 167 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4676$ |
$12$ |
$0$ |
$5.246702352$ |
$1$ |
|
$11$ |
$442368$ |
$0.998616$ |
$5442488479/384768$ |
$0.96295$ |
$2.83929$ |
$[0, -1, 0, -4104, -93456]$ |
\(y^2=x^3-x^2-4104x-93456\) |
2.3.0.a.1, 28.6.0.b.1, 668.6.0.?, 2338.6.0.?, 4676.12.0.? |
$[(-30, 42), (-35, 78)]$ |
| 392784.l1 |
392784l1 |
392784.l |
392784l |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( - 2^{15} \cdot 3^{2} \cdot 7^{2} \cdot 167 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1336$ |
$2$ |
$0$ |
$0.592354942$ |
$1$ |
|
$6$ |
$207360$ |
$0.480531$ |
$482447/12024$ |
$0.80303$ |
$2.25413$ |
$[0, -1, 0, 96, 2304]$ |
\(y^2=x^3-x^2+96x+2304\) |
1336.2.0.? |
$[(0, 48)]$ |
| 392784.m1 |
392784m1 |
392784.m |
392784m |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( - 2^{21} \cdot 3^{3} \cdot 7^{2} \cdot 167^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1.559319549$ |
$1$ |
|
$2$ |
$2643840$ |
$1.683384$ |
$-2841976245512761/385537536$ |
$0.93987$ |
$3.71035$ |
$[0, -1, 0, -172776, 27703152]$ |
\(y^2=x^3-x^2-172776x+27703152\) |
24.2.0.b.1 |
$[(202, 1002)]$ |
| 392784.n1 |
392784n1 |
392784.n |
392784n |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( - 2^{11} \cdot 3^{8} \cdot 7^{6} \cdot 167 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1336$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1182720$ |
$1.449488$ |
$219804478/1095687$ |
$0.88501$ |
$3.14713$ |
$[0, -1, 0, 7824, -737568]$ |
\(y^2=x^3-x^2+7824x-737568\) |
1336.2.0.? |
$[]$ |
| 392784.o1 |
392784o1 |
392784.o |
392784o |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( 2^{33} \cdot 3^{3} \cdot 7^{13} \cdot 167 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28056$ |
$2$ |
$0$ |
$17.66255126$ |
$1$ |
|
$0$ |
$130056192$ |
$3.613224$ |
$4899107302599545932681/7787470676557824$ |
$0.98949$ |
$5.42943$ |
$[0, -1, 0, -277404696, -1775819982096]$ |
\(y^2=x^3-x^2-277404696x-1775819982096\) |
28056.2.0.? |
$[(-114266108308/3499, 548384128065536/3499)]$ |
| 392784.p1 |
392784p1 |
392784.p |
392784p |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( 2^{12} \cdot 3^{3} \cdot 7^{10} \cdot 167 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1002$ |
$2$ |
$0$ |
$16.28783837$ |
$1$ |
|
$0$ |
$1632960$ |
$1.717236$ |
$12845056/4509$ |
$0.84239$ |
$3.42716$ |
$[0, -1, 0, -51221, -2781603]$ |
\(y^2=x^3-x^2-51221x-2781603\) |
1002.2.0.? |
$[(-4553267/238, 12132198289/238)]$ |
| 392784.q1 |
392784q1 |
392784.q |
392784q |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( - 2^{11} \cdot 3^{2} \cdot 7^{8} \cdot 167 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1336$ |
$2$ |
$0$ |
$5.056261394$ |
$1$ |
|
$2$ |
$2580480$ |
$1.872147$ |
$-2821549789058/1503$ |
$0.88755$ |
$4.02610$ |
$[0, -1, 0, -670336, -211022048]$ |
\(y^2=x^3-x^2-670336x-211022048\) |
1336.2.0.? |
$[(3169, 171696)]$ |
| 392784.r1 |
392784r2 |
392784.r |
392784r |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( 2^{10} \cdot 3^{2} \cdot 7^{7} \cdot 167^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4676$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1474560$ |
$1.578405$ |
$230944958500/1757007$ |
$0.84002$ |
$3.47584$ |
$[0, -1, 0, -63128, -6043680]$ |
\(y^2=x^3-x^2-63128x-6043680\) |
2.3.0.a.1, 28.6.0.a.1, 668.6.0.?, 4676.12.0.? |
$[]$ |
| 392784.r2 |
392784r1 |
392784.r |
392784r |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( - 2^{8} \cdot 3^{4} \cdot 7^{8} \cdot 167 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4676$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$737280$ |
$1.231833$ |
$-9826000/662823$ |
$0.80977$ |
$2.95692$ |
$[0, -1, 0, -1388, -215424]$ |
\(y^2=x^3-x^2-1388x-215424\) |
2.3.0.a.1, 28.6.0.b.1, 334.6.0.?, 4676.12.0.? |
$[]$ |
| 392784.s1 |
392784s1 |
392784.s |
392784s |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( - 2^{8} \cdot 3^{5} \cdot 7^{4} \cdot 167^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.567286191$ |
$1$ |
|
$2$ |
$493440$ |
$1.142122$ |
$-30814336000/6777027$ |
$0.86608$ |
$2.93472$ |
$[0, -1, 0, -5553, 188973]$ |
\(y^2=x^3-x^2-5553x+188973\) |
6.2.0.a.1 |
$[(44, 167)]$ |
| 392784.t1 |
392784t2 |
392784.t |
392784t |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( 2^{14} \cdot 3^{4} \cdot 7^{7} \cdot 167^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4676$ |
$12$ |
$0$ |
$5.967345794$ |
$1$ |
|
$9$ |
$2359296$ |
$1.864555$ |
$181802454625/63252252$ |
$0.86417$ |
$3.56489$ |
$[0, -1, 0, -92528, -6810432]$ |
\(y^2=x^3-x^2-92528x-6810432\) |
2.3.0.a.1, 28.6.0.a.1, 668.6.0.?, 4676.12.0.? |
$[(362, 2646), (-254, 490)]$ |
| 392784.t2 |
392784t1 |
392784.t |
392784t |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( - 2^{16} \cdot 3^{2} \cdot 7^{8} \cdot 167 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4676$ |
$12$ |
$0$ |
$5.967345794$ |
$1$ |
|
$11$ |
$1179648$ |
$1.517982$ |
$1174241375/1178352$ |
$0.82110$ |
$3.17344$ |
$[0, -1, 0, 17232, -751680]$ |
\(y^2=x^3-x^2+17232x-751680\) |
2.3.0.a.1, 28.6.0.b.1, 334.6.0.?, 4676.12.0.? |
$[(264, 4704), (378, 7722)]$ |
| 392784.u1 |
392784u2 |
392784.u |
392784u |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( 2^{13} \cdot 3^{4} \cdot 7^{6} \cdot 167^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1336$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3538944$ |
$2.000771$ |
$70470585447625/4518018$ |
$0.95235$ |
$4.02759$ |
$[0, -1, 0, -674648, -213050256]$ |
\(y^2=x^3-x^2-674648x-213050256\) |
2.3.0.a.1, 8.6.0.b.1, 668.6.0.?, 1336.12.0.? |
$[]$ |
| 392784.u2 |
392784u1 |
392784.u |
392784u |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( - 2^{14} \cdot 3^{8} \cdot 7^{6} \cdot 167 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$1336$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1769472$ |
$1.654198$ |
$-14260515625/4382748$ |
$0.95237$ |
$3.40035$ |
$[0, -1, 0, -39608, -3741072]$ |
\(y^2=x^3-x^2-39608x-3741072\) |
2.3.0.a.1, 8.6.0.c.1, 334.6.0.?, 1336.12.0.? |
$[]$ |
| 392784.v1 |
392784v1 |
392784.v |
392784v |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( - 2^{15} \cdot 3^{6} \cdot 7^{9} \cdot 167 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9352$ |
$2$ |
$0$ |
$4.414085000$ |
$1$ |
|
$2$ |
$3096576$ |
$1.987535$ |
$741217625/973944$ |
$0.92059$ |
$3.60951$ |
$[0, -1, 0, 103472, -14474816]$ |
\(y^2=x^3-x^2+103472x-14474816\) |
9352.2.0.? |
$[(181, 3186)]$ |
| 392784.w1 |
392784w1 |
392784.w |
392784w |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( 2^{13} \cdot 3 \cdot 7^{9} \cdot 167^{5} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28056$ |
$2$ |
$0$ |
$8.874829603$ |
$1$ |
|
$2$ |
$88058880$ |
$3.539791$ |
$29438568388080309583/779351913642$ |
$1.03545$ |
$5.48558$ |
$[0, -1, 0, -353030120, -2552911750416]$ |
\(y^2=x^3-x^2-353030120x-2552911750416\) |
28056.2.0.? |
$[(-43331/2, 57281/2), (-270276/5, 484968/5)]$ |
| 392784.x1 |
392784x1 |
392784.x |
392784x |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( - 2^{17} \cdot 3^{6} \cdot 7^{8} \cdot 167 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1336$ |
$2$ |
$0$ |
$1.956320156$ |
$1$ |
|
$8$ |
$3386880$ |
$1.956928$ |
$-6329617441/3895776$ |
$0.85084$ |
$3.66260$ |
$[0, -1, 0, -110560, 20363008]$ |
\(y^2=x^3-x^2-110560x+20363008\) |
1336.2.0.? |
$[(-16, 4704), (229, 2646)]$ |
| 392784.y1 |
392784y1 |
392784.y |
392784y |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( 2^{8} \cdot 3^{15} \cdot 7^{2} \cdot 167^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1002$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4959360$ |
$2.138992$ |
$178957834281554944/66829503442941$ |
$0.97701$ |
$3.81670$ |
$[0, -1, 0, -272785, 32750509]$ |
\(y^2=x^3-x^2-272785x+32750509\) |
1002.2.0.? |
$[]$ |
| 392784.z1 |
392784z1 |
392784.z |
392784z |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( - 2^{15} \cdot 3^{10} \cdot 7^{10} \cdot 167 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1336$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$10160640$ |
$2.517246$ |
$84460496351/78889464$ |
$0.90656$ |
$4.10965$ |
$[0, -1, 0, 959600, 283194304]$ |
\(y^2=x^3-x^2+959600x+283194304\) |
1336.2.0.? |
$[]$ |
| 392784.ba1 |
392784ba1 |
392784.ba |
392784ba |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( 2^{15} \cdot 3^{9} \cdot 7^{7} \cdot 167 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28056$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3981312$ |
$2.027779$ |
$5997815120809/184075416$ |
$0.88231$ |
$3.83632$ |
$[0, -1, 0, -296760, -60452496]$ |
\(y^2=x^3-x^2-296760x-60452496\) |
28056.2.0.? |
$[]$ |
| 392784.bb1 |
392784bb1 |
392784.bb |
392784bb |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( 2^{63} \cdot 3 \cdot 7^{7} \cdot 167 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28056$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$383533056$ |
$4.336349$ |
$95367480112088785370391049/7897061946594164736$ |
$1.01898$ |
$6.19617$ |
$[0, -1, 0, -7462338200, 248104011147504]$ |
\(y^2=x^3-x^2-7462338200x+248104011147504\) |
28056.2.0.? |
$[]$ |
| 392784.bc1 |
392784bc1 |
392784.bc |
392784bc |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( - 2^{11} \cdot 3^{10} \cdot 7^{4} \cdot 167 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1336$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1205760$ |
$1.592552$ |
$-26089558504226/9861183$ |
$0.98119$ |
$3.59455$ |
$[0, -1, 0, -105072, 13148640]$ |
\(y^2=x^3-x^2-105072x+13148640\) |
1336.2.0.? |
$[]$ |
| 392784.bd1 |
392784bd4 |
392784.bd |
392784bd |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( 2^{15} \cdot 3^{6} \cdot 7^{7} \cdot 167^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$9352$ |
$48$ |
$0$ |
$55.43097875$ |
$1$ |
|
$1$ |
$74317824$ |
$3.359985$ |
$1150638118585800835537/31752757008504$ |
$1.05311$ |
$5.31696$ |
$[0, -1, 0, -171154272, -861768518400]$ |
\(y^2=x^3-x^2-171154272x-861768518400\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 28.12.0-4.c.1.2, 56.24.0-56.s.1.3, $\ldots$ |
$[(1772524496323270344389602/8879914691, 1805522298711960785431725152359554630/8879914691)]$ |
| 392784.bd2 |
392784bd3 |
392784.bd |
392784bd |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( 2^{15} \cdot 3^{24} \cdot 7^{7} \cdot 167 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$9352$ |
$48$ |
$0$ |
$13.85774468$ |
$1$ |
|
$1$ |
$74317824$ |
$3.359985$ |
$25039399590518087377/2641281025170312$ |
$1.05430$ |
$5.01981$ |
$[0, -1, 0, -47784032, 114983438592]$ |
\(y^2=x^3-x^2-47784032x+114983438592\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 56.24.0-56.y.1.14, 1336.24.0.?, $\ldots$ |
$[(78750528/31, 696422093808/31)]$ |
| 392784.bd3 |
392784bd2 |
392784.bd |
392784bd |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( 2^{18} \cdot 3^{12} \cdot 7^{8} \cdot 167^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$9352$ |
$48$ |
$0$ |
$27.71548937$ |
$1$ |
|
$3$ |
$37158912$ |
$3.013409$ |
$315922815546536017/46479778841664$ |
$1.03137$ |
$4.68034$ |
$[0, -1, 0, -11124192, -12328853760]$ |
\(y^2=x^3-x^2-11124192x-12328853760\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 28.12.0-2.a.1.1, 56.24.0-56.b.1.3, 668.12.0.?, $\ldots$ |
$[(44248004156370/88111, 226231484604135043410/88111)]$ |
| 392784.bd4 |
392784bd1 |
392784.bd |
392784bd |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( - 2^{24} \cdot 3^{6} \cdot 7^{10} \cdot 167 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$9352$ |
$48$ |
$0$ |
$13.85774468$ |
$1$ |
|
$1$ |
$18579456$ |
$2.666836$ |
$366554400441263/1197281046528$ |
$0.93868$ |
$4.27482$ |
$[0, -1, 0, 1168928, -1048686848]$ |
\(y^2=x^3-x^2+1168928x-1048686848\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 28.12.0-4.c.1.1, 56.24.0-56.y.1.9, $\ldots$ |
$[(6409522/73, 17809041186/73)]$ |
| 392784.be1 |
392784be2 |
392784.be |
392784be |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( 2^{8} \cdot 3^{3} \cdot 7^{8} \cdot 167^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2004$ |
$16$ |
$0$ |
$3.374214105$ |
$1$ |
|
$2$ |
$9035712$ |
$2.270245$ |
$272876388155392/125751501$ |
$1.08661$ |
$4.21958$ |
$[0, -1, 0, -1538469, 734702697]$ |
\(y^2=x^3-x^2-1538469x+734702697\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 1002.8.0.?, 2004.16.0.? |
$[(2009, 75818)]$ |
| 392784.be2 |
392784be1 |
392784.be |
392784be |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( 2^{8} \cdot 3^{9} \cdot 7^{8} \cdot 167 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2004$ |
$16$ |
$0$ |
$10.12264231$ |
$1$ |
|
$0$ |
$3011904$ |
$1.720938$ |
$13666680832/3287061$ |
$0.88749$ |
$3.45087$ |
$[0, -1, 0, -56709, -3954663]$ |
\(y^2=x^3-x^2-56709x-3954663\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 1002.8.0.?, 2004.16.0.? |
$[(34109/11, 2053442/11)]$ |
| 392784.bf1 |
392784bf1 |
392784.bf |
392784bf |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( 2^{27} \cdot 3^{3} \cdot 7^{3} \cdot 167 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28056$ |
$2$ |
$0$ |
$1.037788481$ |
$1$ |
|
$4$ |
$2350080$ |
$1.536165$ |
$6901323756319/147750912$ |
$0.90964$ |
$3.39401$ |
$[0, -1, 0, -44424, 3551472]$ |
\(y^2=x^3-x^2-44424x+3551472\) |
28056.2.0.? |
$[(404, 7168)]$ |
| 392784.bg1 |
392784bg1 |
392784.bg |
392784bg |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( 2^{11} \cdot 3^{5} \cdot 7^{9} \cdot 167 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28056$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2186240$ |
$1.681257$ |
$119552942/40581$ |
$0.80071$ |
$3.39547$ |
$[0, -1, 0, -44704, -2324384]$ |
\(y^2=x^3-x^2-44704x-2324384\) |
28056.2.0.? |
$[]$ |
| 392784.bh1 |
392784bh1 |
392784.bh |
392784bh |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( 2^{8} \cdot 3^{3} \cdot 7^{2} \cdot 167 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1002$ |
$2$ |
$0$ |
$9.150174348$ |
$1$ |
|
$0$ |
$118656$ |
$0.277039$ |
$213541888/4509$ |
$0.75933$ |
$2.22159$ |
$[0, -1, 0, -289, -1763]$ |
\(y^2=x^3-x^2-289x-1763\) |
1002.2.0.? |
$[(-12171/34, 52837/34)]$ |
| 392784.bi1 |
392784bi2 |
392784.bi |
392784bi |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( 2^{12} \cdot 3 \cdot 7^{6} \cdot 167^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2004$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1695744$ |
$1.309687$ |
$217081801/83667$ |
$0.85857$ |
$3.04239$ |
$[0, -1, 0, -9816, -213072]$ |
\(y^2=x^3-x^2-9816x-213072\) |
2.3.0.a.1, 12.6.0.a.1, 668.6.0.?, 2004.12.0.? |
$[]$ |
| 392784.bi2 |
392784bi1 |
392784.bi |
392784bi |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 167 \) |
\( - 2^{12} \cdot 3^{2} \cdot 7^{6} \cdot 167 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2004$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$847872$ |
$0.963114$ |
$1685159/1503$ |
$0.79620$ |
$2.66521$ |
$[0, -1, 0, 1944, -24912]$ |
\(y^2=x^3-x^2+1944x-24912\) |
2.3.0.a.1, 12.6.0.b.1, 334.6.0.?, 2004.12.0.? |
$[]$ |
