| 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 |
| 169338.a1 |
169338v1 |
169338.a |
169338v |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 167 \) |
\( 2^{26} \cdot 3^{9} \cdot 13^{9} \cdot 167 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$52104$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$63370944$ |
$3.508888$ |
$31434491726057626669/220590929608704$ |
$0.98457$ |
$5.64626$ |
$[1, 1, 0, -144452246, 664119050964]$ |
\(y^2+xy=x^3+x^2-144452246x+664119050964\) |
2.3.0.a.1, 104.6.0.?, 4008.6.0.?, 13026.6.0.?, 52104.12.0.? |
$[]$ |
| 169338.a2 |
169338v2 |
169338.a |
169338v |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 167 \) |
\( - 2^{13} \cdot 3^{18} \cdot 13^{9} \cdot 167^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$52104$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$126741888$ |
$3.855465$ |
$-1684772434262416429/88512675985170432$ |
$1.02338$ |
$5.77858$ |
$[1, 1, 0, -54463126, 1482102153940]$ |
\(y^2+xy=x^3+x^2-54463126x+1482102153940\) |
2.3.0.a.1, 104.6.0.?, 4008.6.0.?, 26052.6.0.?, 52104.12.0.? |
$[]$ |
| 169338.b1 |
169338w3 |
169338.b |
169338w |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 167 \) |
\( 2^{3} \cdot 3^{4} \cdot 13^{10} \cdot 167 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$52104$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3935232$ |
$2.151978$ |
$40543436425555153/3090757176$ |
$0.92499$ |
$4.45452$ |
$[1, 1, 0, -1209536, 511470120]$ |
\(y^2+xy=x^3+x^2-1209536x+511470120\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 104.12.0.?, 312.24.0.?, $\ldots$ |
$[]$ |
| 169338.b2 |
169338w2 |
169338.b |
169338w |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 167 \) |
\( 2^{6} \cdot 3^{2} \cdot 13^{8} \cdot 167^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$52104$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$1967616$ |
$1.805403$ |
$12004269928273/2714826816$ |
$0.87742$ |
$3.77968$ |
$[1, 1, 0, -80616, 6842880]$ |
\(y^2+xy=x^3+x^2-80616x+6842880\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 104.12.0.?, 312.24.0.?, 1336.12.0.?, $\ldots$ |
$[]$ |
| 169338.b3 |
169338w1 |
169338.b |
169338w |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 167 \) |
\( 2^{12} \cdot 3 \cdot 13^{7} \cdot 167 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$52104$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$983808$ |
$1.458830$ |
$428149603153/26677248$ |
$0.84390$ |
$3.50280$ |
$[1, 1, 0, -26536, -1582784]$ |
\(y^2+xy=x^3+x^2-26536x-1582784\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 104.12.0.?, 312.24.0.?, $\ldots$ |
$[]$ |
| 169338.b4 |
169338w4 |
169338.b |
169338w |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 167 \) |
\( - 2^{3} \cdot 3 \cdot 13^{7} \cdot 167^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$52104$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3935232$ |
$2.151978$ |
$140470141079087/242672452152$ |
$0.91087$ |
$4.04094$ |
$[1, 1, 0, 183024, 42539736]$ |
\(y^2+xy=x^3+x^2+183024x+42539736\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 104.12.0.?, 312.24.0.?, $\ldots$ |
$[]$ |
| 169338.c1 |
169338x1 |
169338.c |
169338x |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 167 \) |
\( - 2^{3} \cdot 3^{2} \cdot 13^{8} \cdot 167 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1336$ |
$2$ |
$0$ |
$1.142674335$ |
$1$ |
|
$4$ |
$322560$ |
$1.181498$ |
$2979767519/2032056$ |
$0.82036$ |
$3.09019$ |
$[1, 1, 0, 5067, 60741]$ |
\(y^2+xy=x^3+x^2+5067x+60741\) |
1336.2.0.? |
$[(213, 3189)]$ |
| 169338.d1 |
169338y1 |
169338.d |
169338y |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 167 \) |
\( - 2^{2} \cdot 3^{4} \cdot 13^{8} \cdot 167^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$668$ |
$4$ |
$0$ |
$2.661585381$ |
$1$ |
|
$10$ |
$1198080$ |
$1.819876$ |
$-277199830921/9036036$ |
$0.86273$ |
$3.89732$ |
$[1, 1, 0, -126922, -17940632]$ |
\(y^2+xy=x^3+x^2-126922x-17940632\) |
4.2.0.a.1, 668.4.0.? |
$[(1253, 41708), (1084, 32920)]$ |
| 169338.e1 |
169338z1 |
169338.e |
169338z |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 167 \) |
\( - 2^{9} \cdot 3^{8} \cdot 13^{10} \cdot 167 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1336$ |
$2$ |
$0$ |
$7.725177322$ |
$1$ |
|
$4$ |
$4644864$ |
$2.503273$ |
$16501717226547071/16022485200384$ |
$0.93715$ |
$4.37986$ |
$[1, 1, 0, 896373, 269302077]$ |
\(y^2+xy=x^3+x^2+896373x+269302077\) |
1336.2.0.? |
$[(11637/4, 2290167/4), (2241, 115236)]$ |
| 169338.f1 |
169338ba1 |
169338.f |
169338ba |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 167 \) |
\( - 2^{9} \cdot 3^{5} \cdot 13^{4} \cdot 167 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4008$ |
$2$ |
$0$ |
$4.993209059$ |
$1$ |
|
$2$ |
$241920$ |
$0.950718$ |
$-13719882553/20777472$ |
$0.88400$ |
$2.89772$ |
$[1, 1, 0, -1524, -44208]$ |
\(y^2+xy=x^3+x^2-1524x-44208\) |
4008.2.0.? |
$[(121, 1189)]$ |
| 169338.g1 |
169338n1 |
169338.g |
169338n |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 167 \) |
\( - 2^{3} \cdot 3^{12} \cdot 13^{8} \cdot 167 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1336$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4178304$ |
$2.214546$ |
$-51091295119033/710005176$ |
$0.90419$ |
$4.32803$ |
$[1, 0, 1, -722310, -239163728]$ |
\(y^2+xy+y=x^3-722310x-239163728\) |
1336.2.0.? |
$[]$ |
| 169338.h1 |
169338o1 |
169338.h |
169338o |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 167 \) |
\( 2^{33} \cdot 3^{3} \cdot 13^{2} \cdot 167 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4008$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1406592$ |
$1.746883$ |
$167005909852146625/38732015075328$ |
$0.95764$ |
$3.71993$ |
$[1, 0, 1, -63431, -4765174]$ |
\(y^2+xy+y=x^3-63431x-4765174\) |
4008.2.0.? |
$[]$ |
| 169338.i1 |
169338p2 |
169338.i |
169338p |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 167 \) |
\( 2^{6} \cdot 3^{3} \cdot 13^{10} \cdot 167^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2004$ |
$12$ |
$0$ |
$2.673771454$ |
$1$ |
|
$2$ |
$3483648$ |
$2.404377$ |
$71032527376098625/1376417195712$ |
$0.92844$ |
$4.50109$ |
$[1, 0, 1, -1458136, 666147302]$ |
\(y^2+xy+y=x^3-1458136x+666147302\) |
2.3.0.a.1, 12.6.0.a.1, 668.6.0.?, 2004.12.0.? |
$[(14353, 1706483)]$ |
| 169338.i2 |
169338p1 |
169338.i |
169338p |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 167 \) |
\( - 2^{12} \cdot 3^{6} \cdot 13^{8} \cdot 167 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2004$ |
$12$ |
$0$ |
$5.347542908$ |
$1$ |
|
$3$ |
$1741824$ |
$2.057804$ |
$190109375/84273426432$ |
$1.06835$ |
$3.98697$ |
$[1, 0, 1, 2024, 30685670]$ |
\(y^2+xy+y=x^3+2024x+30685670\) |
2.3.0.a.1, 12.6.0.b.1, 334.6.0.?, 2004.12.0.? |
$[(-236, 4250)]$ |
| 169338.j1 |
169338q2 |
169338.j |
169338q |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 167 \) |
\( 2 \cdot 3^{3} \cdot 13^{2} \cdot 167^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$52104$ |
$16$ |
$0$ |
$1.969547551$ |
$1$ |
|
$4$ |
$217728$ |
$1.095608$ |
$3813557241924625/251503002$ |
$0.93146$ |
$3.40602$ |
$[1, 0, 1, -17996, -930616]$ |
\(y^2+xy+y=x^3-17996x-930616\) |
3.4.0.a.1, 39.8.0-3.a.1.2, 4008.8.0.?, 52104.16.0.? |
$[(-78, 40)]$ |
| 169338.j2 |
169338q1 |
169338.j |
169338q |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 167 \) |
\( 2^{3} \cdot 3^{9} \cdot 13^{2} \cdot 167 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$52104$ |
$16$ |
$0$ |
$0.656515850$ |
$1$ |
|
$4$ |
$72576$ |
$0.546302$ |
$57868344625/26296488$ |
$0.86947$ |
$2.48440$ |
$[1, 0, 1, -446, 1640]$ |
\(y^2+xy+y=x^3-446x+1640\) |
3.4.0.a.1, 39.8.0-3.a.1.1, 4008.8.0.?, 52104.16.0.? |
$[(0, 40)]$ |
| 169338.k1 |
169338r2 |
169338.k |
169338r |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 167 \) |
\( 2 \cdot 3^{6} \cdot 13^{8} \cdot 167 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$52104$ |
$12$ |
$0$ |
$7.912086243$ |
$1$ |
|
$0$ |
$1532160$ |
$1.799181$ |
$617447247876577/41149134$ |
$0.89966$ |
$4.10696$ |
$[1, 0, 1, -299810, -63206674]$ |
\(y^2+xy+y=x^3-299810x-63206674\) |
2.3.0.a.1, 156.6.0.?, 1336.6.0.?, 52104.12.0.? |
$[(102352/9, 28479034/9)]$ |
| 169338.k2 |
169338r1 |
169338.k |
169338r |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 167 \) |
\( - 2^{2} \cdot 3^{3} \cdot 13^{7} \cdot 167^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$52104$ |
$12$ |
$0$ |
$3.956043121$ |
$1$ |
|
$3$ |
$766080$ |
$1.452608$ |
$-124475734657/39156156$ |
$0.83862$ |
$3.43624$ |
$[1, 0, 1, -17580, -1116074]$ |
\(y^2+xy+y=x^3-17580x-1116074\) |
2.3.0.a.1, 78.6.0.?, 1336.6.0.?, 52104.12.0.? |
$[(1210, 41222)]$ |
| 169338.l1 |
169338s1 |
169338.l |
169338s |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 167 \) |
\( - 2^{3} \cdot 3^{6} \cdot 13^{8} \cdot 167 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1336$ |
$2$ |
$0$ |
$4.281332608$ |
$1$ |
|
$2$ |
$1055808$ |
$1.541397$ |
$205572263/973944$ |
$0.93487$ |
$3.45800$ |
$[1, 0, 1, 11488, 1271558]$ |
\(y^2+xy+y=x^3+11488x+1271558\) |
1336.2.0.? |
$[(24, 1237)]$ |
| 169338.m1 |
169338t1 |
169338.m |
169338t |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 167 \) |
\( - 2^{7} \cdot 3^{4} \cdot 13^{6} \cdot 167 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1336$ |
$2$ |
$0$ |
$0.931477307$ |
$1$ |
|
$4$ |
$430080$ |
$1.177973$ |
$-2181825073/1731456$ |
$0.88543$ |
$3.13602$ |
$[1, 0, 1, -4567, 182522]$ |
\(y^2+xy+y=x^3-4567x+182522\) |
1336.2.0.? |
$[(40, 233)]$ |
| 169338.n1 |
169338u1 |
169338.n |
169338u |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 167 \) |
\( - 2^{15} \cdot 3^{10} \cdot 13^{8} \cdot 167 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1336$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17740800$ |
$2.602684$ |
$-10569350840236993/54609180327936$ |
$0.94736$ |
$4.53350$ |
$[1, 0, 1, -772672, 823645838]$ |
\(y^2+xy+y=x^3-772672x+823645838\) |
1336.2.0.? |
$[]$ |
| 169338.o1 |
169338g1 |
169338.o |
169338g |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 167 \) |
\( - 2^{23} \cdot 3^{2} \cdot 13^{6} \cdot 167 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1336$ |
$2$ |
$0$ |
$0.281657948$ |
$1$ |
|
$24$ |
$2543616$ |
$1.909586$ |
$19785968032823/12608077824$ |
$0.98193$ |
$3.82118$ |
$[1, 1, 1, 95228, 3636485]$ |
\(y^2+xy+y=x^3+x^2+95228x+3636485\) |
1336.2.0.? |
$[(317, 7953), (733, 21265)]$ |
| 169338.p1 |
169338h1 |
169338.p |
169338h |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 167 \) |
\( - 2^{9} \cdot 3^{5} \cdot 13^{10} \cdot 167 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4008$ |
$2$ |
$0$ |
$8.283427260$ |
$1$ |
|
$0$ |
$3144960$ |
$2.233192$ |
$-13719882553/20777472$ |
$0.88400$ |
$4.17597$ |
$[1, 1, 1, -257644, -95836915]$ |
\(y^2+xy+y=x^3+x^2-257644x-95836915\) |
4008.2.0.? |
$[(12781/3, 1304851/3)]$ |
| 169338.q1 |
169338i1 |
169338.q |
169338i |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 167 \) |
\( - 2^{2} \cdot 3^{4} \cdot 13^{2} \cdot 167^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$8684$ |
$4$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$92160$ |
$0.537400$ |
$-277199830921/9036036$ |
$0.86273$ |
$2.61907$ |
$[1, 1, 1, -751, -8455]$ |
\(y^2+xy+y=x^3+x^2-751x-8455\) |
4.2.0.a.1, 8684.4.0.? |
$[]$ |
| 169338.r1 |
169338j1 |
169338.r |
169338j |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 167 \) |
\( - 2 \cdot 3^{2} \cdot 13^{10} \cdot 167 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1336$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1290240$ |
$1.485594$ |
$-3803721481/85854366$ |
$0.86689$ |
$3.41687$ |
$[1, 1, 1, -5496, 989607]$ |
\(y^2+xy+y=x^3+x^2-5496x+989607\) |
1336.2.0.? |
$[]$ |
| 169338.s1 |
169338k2 |
169338.s |
169338k |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 167 \) |
\( 2 \cdot 3^{4} \cdot 13^{6} \cdot 167^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1336$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$829440$ |
$1.617144$ |
$70470585447625/4518018$ |
$0.95235$ |
$3.92668$ |
$[1, 1, 1, -145428, -21405597]$ |
\(y^2+xy+y=x^3+x^2-145428x-21405597\) |
2.3.0.a.1, 8.6.0.b.1, 668.6.0.?, 1336.12.0.? |
$[]$ |
| 169338.s2 |
169338k1 |
169338.s |
169338k |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 167 \) |
\( - 2^{2} \cdot 3^{8} \cdot 13^{6} \cdot 167 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$1336$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$414720$ |
$1.270571$ |
$-14260515625/4382748$ |
$0.95237$ |
$3.25561$ |
$[1, 1, 1, -8538, -379293]$ |
\(y^2+xy+y=x^3+x^2-8538x-379293\) |
2.3.0.a.1, 8.6.0.c.1, 334.6.0.?, 1336.12.0.? |
$[]$ |
| 169338.t1 |
169338l1 |
169338.t |
169338l |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 167 \) |
\( - 2^{5} \cdot 3^{4} \cdot 13^{8} \cdot 167^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1336$ |
$2$ |
$0$ |
$1.295377335$ |
$1$ |
|
$4$ |
$5160960$ |
$2.384125$ |
$-19930946198279689/2040192352224$ |
$0.92315$ |
$4.40907$ |
$[1, 1, 1, -954600, -389843511]$ |
\(y^2+xy+y=x^3+x^2-954600x-389843511\) |
1336.2.0.? |
$[(35209, 6586577)]$ |
| 169338.u1 |
169338m1 |
169338.u |
169338m |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 167 \) |
\( 2^{26} \cdot 3^{9} \cdot 13^{3} \cdot 167 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$52104$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4874688$ |
$2.226414$ |
$31434491726057626669/220590929608704$ |
$0.98457$ |
$4.36801$ |
$[1, 1, 1, -854747, 301955753]$ |
\(y^2+xy+y=x^3+x^2-854747x+301955753\) |
2.3.0.a.1, 104.6.0.?, 4008.6.0.?, 13026.6.0.?, 52104.12.0.? |
$[]$ |
| 169338.u2 |
169338m2 |
169338.u |
169338m |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 167 \) |
\( - 2^{13} \cdot 3^{18} \cdot 13^{3} \cdot 167^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$52104$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9749376$ |
$2.572987$ |
$-1684772434262416429/88512675985170432$ |
$1.02338$ |
$4.50033$ |
$[1, 1, 1, -322267, 674478761]$ |
\(y^2+xy+y=x^3+x^2-322267x+674478761\) |
2.3.0.a.1, 104.6.0.?, 4008.6.0.?, 26052.6.0.?, 52104.12.0.? |
$[]$ |
| 169338.v1 |
169338a1 |
169338.v |
169338a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 167 \) |
\( - 2^{3} \cdot 3^{6} \cdot 13^{2} \cdot 167 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1336$ |
$2$ |
$0$ |
$0.527370331$ |
$1$ |
|
$4$ |
$81216$ |
$0.258923$ |
$205572263/973944$ |
$0.93487$ |
$2.17975$ |
$[1, 0, 0, 68, 584]$ |
\(y^2+xy=x^3+68x+584\) |
1336.2.0.? |
$[(2, 26)]$ |
| 169338.w1 |
169338b2 |
169338.w |
169338b |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 167 \) |
\( 2^{3} \cdot 3 \cdot 13^{6} \cdot 167^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4008$ |
$12$ |
$0$ |
$13.39106238$ |
$1$ |
|
$0$ |
$677376$ |
$1.267622$ |
$213525509833/669336$ |
$0.91066$ |
$3.44501$ |
$[1, 0, 0, -21044, -1173576]$ |
\(y^2+xy=x^3-21044x-1173576\) |
2.3.0.a.1, 24.6.0.a.1, 668.6.0.?, 4008.12.0.? |
$[(1014150/17, 1011829134/17)]$ |
| 169338.w2 |
169338b1 |
169338.w |
169338b |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 167 \) |
\( - 2^{6} \cdot 3^{2} \cdot 13^{6} \cdot 167 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4008$ |
$12$ |
$0$ |
$6.695531192$ |
$1$ |
|
$3$ |
$338688$ |
$0.921049$ |
$-10218313/96192$ |
$0.87168$ |
$2.85541$ |
$[1, 0, 0, -764, -33840]$ |
\(y^2+xy=x^3-764x-33840\) |
2.3.0.a.1, 24.6.0.d.1, 334.6.0.?, 4008.12.0.? |
$[(3508, 206020)]$ |
| 169338.x1 |
169338c2 |
169338.x |
169338c |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 167 \) |
\( 2 \cdot 3^{3} \cdot 13^{8} \cdot 167^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$4008$ |
$16$ |
$0$ |
$13.03069791$ |
$1$ |
|
$0$ |
$2830464$ |
$2.378082$ |
$3813557241924625/251503002$ |
$0.93146$ |
$4.68427$ |
$[1, 0, 0, -3041243, -2041521561]$ |
\(y^2+xy=x^3-3041243x-2041521561\) |
3.8.0-3.a.1.1, 4008.16.0.? |
$[(-4940309/70, 58494001/70)]$ |
| 169338.x2 |
169338c1 |
169338.x |
169338c |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 167 \) |
\( 2^{3} \cdot 3^{9} \cdot 13^{8} \cdot 167 \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$4008$ |
$16$ |
$0$ |
$4.343565970$ |
$1$ |
|
$4$ |
$943488$ |
$1.828777$ |
$57868344625/26296488$ |
$0.86947$ |
$3.76265$ |
$[1, 0, 0, -75293, 3678921]$ |
\(y^2+xy=x^3-75293x+3678921\) |
3.8.0-3.a.1.2, 4008.16.0.? |
$[(-68, 2947)]$ |
| 169338.y1 |
169338d1 |
169338.y |
169338d |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 167 \) |
\( 2^{33} \cdot 3^{3} \cdot 13^{8} \cdot 167 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4008$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$18285696$ |
$3.029358$ |
$167005909852146625/38732015075328$ |
$0.95764$ |
$4.99818$ |
$[1, 0, 0, -10719758, -10458366972]$ |
\(y^2+xy=x^3-10719758x-10458366972\) |
4008.2.0.? |
$[]$ |
| 169338.z1 |
169338e1 |
169338.z |
169338e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 167 \) |
\( - 2^{3} \cdot 3^{14} \cdot 13^{6} \cdot 167 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1336$ |
$2$ |
$0$ |
$0.266873785$ |
$1$ |
|
$6$ |
$1935360$ |
$2.059875$ |
$-3843995587427449/6390046584$ |
$0.97481$ |
$4.25908$ |
$[1, 0, 0, -551535, 157835313]$ |
\(y^2+xy=x^3-551535x+157835313\) |
1336.2.0.? |
$[(768, 13305)]$ |
| 169338.ba1 |
169338f1 |
169338.ba |
169338f |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 167 \) |
\( - 2^{3} \cdot 3^{12} \cdot 13^{2} \cdot 167 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1336$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$321408$ |
$0.932073$ |
$-51091295119033/710005176$ |
$0.90419$ |
$3.04978$ |
$[1, 0, 0, -4274, -109188]$ |
\(y^2+xy=x^3-4274x-109188\) |
1336.2.0.? |
$[]$ |
