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 |
15.a1 |
15a5 |
15.a |
15a |
$8$ |
$16$ |
\( 3 \cdot 5 \) |
\( 3^{4} \cdot 5 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.96.0.148 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$4$ |
$0.290870$ |
$1114544804970241/405$ |
$1.07354$ |
$12.79416$ |
$[1, 1, 1, -2160, -39540]$ |
\(y^2+xy+y=x^3+x^2-2160x-39540\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.bb.2.3, 10.6.0.a.1, 16.96.0-16.x.2.4, $\ldots$ |
$[]$ |
45.a1 |
45a7 |
45.a |
45a |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \) |
\( 3^{10} \cdot 5 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.51 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$32$ |
$0.840176$ |
$1114544804970241/405$ |
$1.07354$ |
$10.83335$ |
$[1, -1, 0, -19440, 1048135]$ |
\(y^2+xy=x^3-x^2-19440x+1048135\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 12.12.0-4.c.1.1, $\ldots$ |
$[]$ |
75.b1 |
75b7 |
75.b |
75b |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \) |
\( 3^{4} \cdot 5^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.168 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$96$ |
$1.095589$ |
$1114544804970241/405$ |
$1.07354$ |
$10.26149$ |
$[1, 0, 1, -54001, -4834477]$ |
\(y^2+xy+y=x^3-54001x-4834477\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.bb.2.6, 10.6.0.a.1, 16.96.0-16.x.2.5, $\ldots$ |
$[]$ |
225.b1 |
225c7 |
225.b |
225c |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \) |
\( 3^{10} \cdot 5^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.49 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$768$ |
$1.644896$ |
$1114544804970241/405$ |
$1.07354$ |
$9.39708$ |
$[1, -1, 1, -486005, 130530872]$ |
\(y^2+xy+y=x^3-x^2-486005x+130530872\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 12.12.0-4.c.1.1, $\ldots$ |
$[]$ |
240.d1 |
240d7 |
240.d |
240d |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \) |
\( 2^{12} \cdot 3^{4} \cdot 5 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.104 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$3$ |
$256$ |
$0.984016$ |
$1114544804970241/405$ |
$1.07354$ |
$7.83941$ |
$[0, 1, 0, -34560, 2461428]$ |
\(y^2=x^3+x^2-34560x+2461428\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.2.4, 10.6.0.a.1, 16.96.0-16.x.2.3, $\ldots$ |
$[]$ |
720.c1 |
720h7 |
720.c |
720h |
$8$ |
$16$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \) |
\( 2^{12} \cdot 3^{10} \cdot 5 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.51 |
2B |
$480$ |
$768$ |
$13$ |
$5.201251375$ |
$1$ |
|
$3$ |
$2048$ |
$1.533323$ |
$1114544804970241/405$ |
$1.07354$ |
$7.53226$ |
$[0, 0, 0, -311043, -66769598]$ |
\(y^2=x^3-311043x-66769598\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 12.12.0-4.c.1.2, $\ldots$ |
$[(767, 12078)]$ |
735.c1 |
735e7 |
735.c |
735e |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 7^{2} \) |
\( 3^{4} \cdot 5 \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$3360$ |
$768$ |
$13$ |
$0.689178076$ |
$1$ |
|
$6$ |
$1536$ |
$1.263824$ |
$1114544804970241/405$ |
$1.07354$ |
$7.01873$ |
$[1, 0, 0, -105841, 13244636]$ |
\(y^2+xy=x^3-105841x+13244636\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[(188, -88)]$ |
960.a1 |
960i7 |
960.a |
960i |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5 \) |
\( 2^{18} \cdot 3^{4} \cdot 5 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.219 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$1$ |
$2048$ |
$1.330591$ |
$1114544804970241/405$ |
$1.07354$ |
$6.86243$ |
$[0, -1, 0, -138241, 19829665]$ |
\(y^2=x^3-x^2-138241x+19829665\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.2.1, 10.6.0.a.1, 16.96.0-16.x.2.2, $\ldots$ |
$[]$ |
960.l1 |
960g7 |
960.l |
960g |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5 \) |
\( 2^{18} \cdot 3^{4} \cdot 5 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.278 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$4$ |
$2$ |
$1$ |
$2048$ |
$1.330591$ |
$1114544804970241/405$ |
$1.07354$ |
$6.86243$ |
$[0, 1, 0, -138241, -19829665]$ |
\(y^2=x^3+x^2-138241x-19829665\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.2.2, 10.6.0.a.1, 16.96.0-16.x.2.1, $\ldots$ |
$[]$ |
1200.e1 |
1200j7 |
1200.e |
1200j |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.124 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$3$ |
$6144$ |
$1.788736$ |
$1114544804970241/405$ |
$1.07354$ |
$7.42187$ |
$[0, -1, 0, -864008, 309406512]$ |
\(y^2=x^3-x^2-864008x+309406512\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.2.5, 10.6.0.a.1, 16.96.0-16.x.2.6, $\ldots$ |
$[]$ |
1815.d1 |
1815a7 |
1815.d |
1815a |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 11^{2} \) |
\( 3^{4} \cdot 5 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$5280$ |
$768$ |
$13$ |
$1.666073956$ |
$1$ |
|
$2$ |
$5120$ |
$1.489817$ |
$1114544804970241/405$ |
$1.07354$ |
$6.53460$ |
$[1, 1, 0, -261362, 51320691]$ |
\(y^2+xy=x^3+x^2-261362x+51320691\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[(270, 591)]$ |
2205.i1 |
2205j7 |
2205.i |
2205j |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 3^{10} \cdot 5 \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$3360$ |
$768$ |
$13$ |
$1$ |
$16$ |
$2$ |
$0$ |
$12288$ |
$1.813131$ |
$1114544804970241/405$ |
$1.07354$ |
$6.87335$ |
$[1, -1, 0, -952569, -357605172]$ |
\(y^2+xy=x^3-x^2-952569x-357605172\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[]$ |
2535.j1 |
2535a7 |
2535.j |
2535a |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 13^{2} \) |
\( 3^{4} \cdot 5 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$6240$ |
$768$ |
$13$ |
$16.45312041$ |
$1$ |
|
$0$ |
$9216$ |
$1.573345$ |
$1114544804970241/405$ |
$1.07354$ |
$6.38393$ |
$[1, 1, 0, -365043, -85043772]$ |
\(y^2+xy=x^3+x^2-365043x-85043772\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[(139441789/348, 1323572725861/348)]$ |
2880.y1 |
2880r7 |
2880.y |
2880r |
$8$ |
$16$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \) |
\( 2^{18} \cdot 3^{10} \cdot 5 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.50 |
2B |
$480$ |
$768$ |
$13$ |
$5.298196352$ |
$1$ |
|
$3$ |
$16384$ |
$1.879896$ |
$1114544804970241/405$ |
$1.07354$ |
$6.74349$ |
$[0, 0, 0, -1244172, 534156784]$ |
\(y^2=x^3-1244172x+534156784\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[(1085, 21483)]$ |
2880.bc1 |
2880bd7 |
2880.bc |
2880bd |
$8$ |
$16$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \) |
\( 2^{18} \cdot 3^{10} \cdot 5 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.50 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$16$ |
$2$ |
$1$ |
$16384$ |
$1.879896$ |
$1114544804970241/405$ |
$1.07354$ |
$6.74349$ |
$[0, 0, 0, -1244172, -534156784]$ |
\(y^2=x^3-1244172x-534156784\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[]$ |
3600.u1 |
3600bf7 |
3600.u |
3600bf |
$8$ |
$16$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{12} \cdot 3^{10} \cdot 5^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.49 |
2B |
$480$ |
$768$ |
$13$ |
$9.603901418$ |
$1$ |
|
$3$ |
$49152$ |
$2.338043$ |
$1114544804970241/405$ |
$1.07354$ |
$7.23111$ |
$[0, 0, 0, -7776075, -8346199750]$ |
\(y^2=x^3-7776075x-8346199750\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 12.12.0-4.c.1.2, $\ldots$ |
$[(146615, 56129150)]$ |
3675.j1 |
3675e7 |
3675.j |
3675e |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{4} \cdot 5^{7} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$3360$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$36864$ |
$2.068542$ |
$1114544804970241/405$ |
$1.07354$ |
$6.81900$ |
$[1, 1, 0, -2646025, 1655579500]$ |
\(y^2+xy=x^3+x^2-2646025x+1655579500\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[]$ |
4335.c1 |
4335d7 |
4335.c |
4335d |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 17^{2} \) |
\( 3^{4} \cdot 5 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$8160$ |
$768$ |
$13$ |
$1$ |
$4$ |
$2$ |
$0$ |
$20480$ |
$1.707476$ |
$1114544804970241/405$ |
$1.07354$ |
$6.16713$ |
$[1, 0, 0, -624246, -189889425]$ |
\(y^2+xy=x^3-624246x-189889425\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[]$ |
4800.t1 |
4800b7 |
4800.t |
4800b |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( 2^{18} \cdot 3^{4} \cdot 5^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.282 |
2B |
$480$ |
$768$ |
$13$ |
$14.85962321$ |
$1$ |
|
$1$ |
$49152$ |
$2.135311$ |
$1114544804970241/405$ |
$1.07354$ |
$6.69868$ |
$[0, -1, 0, -3456033, -2471796063]$ |
\(y^2=x^3-x^2-3456033x-2471796063\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.2.7, 10.6.0.a.1, 16.96.0-16.x.2.8, $\ldots$ |
$[(19128523/93, 21247565300/93)]$ |
4800.bz1 |
4800cd7 |
4800.bz |
4800cd |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( 2^{18} \cdot 3^{4} \cdot 5^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.222 |
2B |
$480$ |
$768$ |
$13$ |
$2.148891872$ |
$1$ |
|
$5$ |
$49152$ |
$2.135311$ |
$1114544804970241/405$ |
$1.07354$ |
$6.69868$ |
$[0, 1, 0, -3456033, 2471796063]$ |
\(y^2=x^3+x^2-3456033x+2471796063\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.2.8, 10.6.0.a.1, 16.96.0-16.x.2.7, $\ldots$ |
$[(1077, 228)]$ |
5415.j1 |
5415k7 |
5415.j |
5415k |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 19^{2} \) |
\( 3^{4} \cdot 5 \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$9120$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$27648$ |
$1.763088$ |
$1114544804970241/405$ |
$1.07354$ |
$6.08518$ |
$[1, 0, 1, -779768, 264965501]$ |
\(y^2+xy+y=x^3-779768x+264965501\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[]$ |
5445.c1 |
5445g7 |
5445.c |
5445g |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 3^{10} \cdot 5 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$5280$ |
$768$ |
$13$ |
$9.352879577$ |
$1$ |
|
$0$ |
$40960$ |
$2.039124$ |
$1114544804970241/405$ |
$1.07354$ |
$6.46633$ |
$[1, -1, 1, -2352263, -1388010918]$ |
\(y^2+xy+y=x^3-x^2-2352263x-1388010918\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[(31055/2, 5325183/2)]$ |
7605.g1 |
7605q7 |
7605.g |
7605q |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 3^{10} \cdot 5 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$6240$ |
$768$ |
$13$ |
$5.070437301$ |
$1$ |
|
$0$ |
$73728$ |
$2.122650$ |
$1114544804970241/405$ |
$1.07354$ |
$6.33673$ |
$[1, -1, 1, -3285392, 2292896454]$ |
\(y^2+xy+y=x^3-x^2-3285392x+2292896454\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[(4331/2, 11901/2)]$ |
7935.d1 |
7935b7 |
7935.d |
7935b |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 23^{2} \) |
\( 3^{4} \cdot 5 \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$11040$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$50688$ |
$1.858616$ |
$1114544804970241/405$ |
$1.07354$ |
$5.95389$ |
$[1, 1, 1, -1142651, 469654508]$ |
\(y^2+xy+y=x^3+x^2-1142651x+469654508\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[]$ |
9075.g1 |
9075l7 |
9075.g |
9075l |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{4} \cdot 5^{7} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$5280$ |
$768$ |
$13$ |
$0.471890948$ |
$1$ |
|
$10$ |
$122880$ |
$2.294537$ |
$1114544804970241/405$ |
$1.07354$ |
$6.44019$ |
$[1, 0, 0, -6534063, 6428154492]$ |
\(y^2+xy=x^3-6534063x+6428154492\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[(1407, 3834)]$ |
11025.p1 |
11025z7 |
11025.p |
11025z |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{10} \cdot 5^{7} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$3360$ |
$768$ |
$13$ |
$10.47166569$ |
$1$ |
|
$0$ |
$294912$ |
$2.617851$ |
$1114544804970241/405$ |
$1.07354$ |
$6.72234$ |
$[1, -1, 1, -23814230, -44724460728]$ |
\(y^2+xy+y=x^3-x^2-23814230x-44724460728\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[(696245/4, 575734917/4)]$ |
11760.p1 |
11760bq7 |
11760.p |
11760bq |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 5 \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$3360$ |
$768$ |
$13$ |
$7.392952009$ |
$1$ |
|
$3$ |
$98304$ |
$1.956972$ |
$1114544804970241/405$ |
$1.07354$ |
$5.82989$ |
$[0, -1, 0, -1693456, -847656704]$ |
\(y^2=x^3-x^2-1693456x-847656704\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[(2498, 102486)]$ |
12615.f1 |
12615f7 |
12615.f |
12615f |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 29^{2} \) |
\( 3^{4} \cdot 5 \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$13920$ |
$768$ |
$13$ |
$13.91329384$ |
$1$ |
|
$0$ |
$100352$ |
$1.974518$ |
$1114544804970241/405$ |
$1.07354$ |
$5.80886$ |
$[1, 0, 1, -1816578, -942537797]$ |
\(y^2+xy+y=x^3-1816578x-942537797\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[(29538433/56, 157970670523/56)]$ |
12675.n1 |
12675x7 |
12675.n |
12675x |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{4} \cdot 5^{7} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$6240$ |
$768$ |
$13$ |
$1$ |
$4$ |
$2$ |
$0$ |
$221184$ |
$2.378063$ |
$1114544804970241/405$ |
$1.07354$ |
$6.31852$ |
$[1, 0, 0, -9126088, -10612219333]$ |
\(y^2+xy=x^3-9126088x-10612219333\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[]$ |
13005.p1 |
13005n7 |
13005.p |
13005n |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 3^{10} \cdot 5 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$8160$ |
$768$ |
$13$ |
$12.34026411$ |
$1$ |
|
$0$ |
$163840$ |
$2.256783$ |
$1114544804970241/405$ |
$1.07354$ |
$6.14775$ |
$[1, -1, 0, -5618214, 5127014475]$ |
\(y^2+xy=x^3-x^2-5618214x+5127014475\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[(10299109/76, 11837169177/76)]$ |
14400.cj1 |
14400y7 |
14400.cj |
14400y |
$8$ |
$16$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{18} \cdot 3^{10} \cdot 5^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.52 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$1$ |
$393216$ |
$2.684616$ |
$1114544804970241/405$ |
$1.07354$ |
$6.61852$ |
$[0, 0, 0, -31104300, 66769598000]$ |
\(y^2=x^3-31104300x+66769598000\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[]$ |
14400.cz1 |
14400dp7 |
14400.cz |
14400dp |
$8$ |
$16$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{18} \cdot 3^{10} \cdot 5^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.52 |
2B |
$480$ |
$768$ |
$13$ |
$20.14759623$ |
$1$ |
|
$1$ |
$393216$ |
$2.684616$ |
$1114544804970241/405$ |
$1.07354$ |
$6.61852$ |
$[0, 0, 0, -31104300, -66769598000]$ |
\(y^2=x^3-31104300x-66769598000\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[(2396388176/551, 70871508927324/551)]$ |
14415.d1 |
14415g7 |
14415.d |
14415g |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 31^{2} \) |
\( 3^{4} \cdot 5 \cdot 31^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$14880$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$122880$ |
$2.007862$ |
$1114544804970241/405$ |
$1.07354$ |
$5.76974$ |
$[1, 0, 0, -2075780, 1150945707]$ |
\(y^2+xy=x^3-2075780x+1150945707\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[]$ |
16245.c1 |
16245d7 |
16245.c |
16245d |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 19^{2} \) |
\( 3^{10} \cdot 5 \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$9120$ |
$768$ |
$13$ |
$16.44430019$ |
$1$ |
|
$0$ |
$221184$ |
$2.312397$ |
$1114544804970241/405$ |
$1.07354$ |
$6.07553$ |
$[1, -1, 1, -7017908, -7154068534]$ |
\(y^2+xy+y=x^3-x^2-7017908x-7154068534\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[(241989799/118, 3703451766397/118)]$ |
20535.f1 |
20535a7 |
20535.f |
20535a |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 37^{2} \) |
\( 3^{4} \cdot 5 \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$17760$ |
$768$ |
$13$ |
$33.32714067$ |
$1$ |
|
$0$ |
$193536$ |
$2.096329$ |
$1114544804970241/405$ |
$1.07354$ |
$5.67103$ |
$[1, 1, 0, -2957068, -1958454593]$ |
\(y^2+xy=x^3+x^2-2957068x-1958454593\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[(10953904529224693/248556, 1145034124948846243578881/248556)]$ |
21675.s1 |
21675c8 |
21675.s |
21675c |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \) |
\( 3^{4} \cdot 5^{7} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$8160$ |
$768$ |
$13$ |
$36.36573288$ |
$1$ |
|
$0$ |
$491520$ |
$2.512196$ |
$1114544804970241/405$ |
$1.07354$ |
$6.14019$ |
$[1, 1, 0, -15606150, -23736178125]$ |
\(y^2+xy=x^3+x^2-15606150x-23736178125\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[(368050235868089125/8380596, 113831594231720597919561125/8380596)]$ |
23805.s1 |
23805t8 |
23805.s |
23805t |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 23^{2} \) |
\( 3^{10} \cdot 5 \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$11040$ |
$768$ |
$13$ |
$1$ |
$16$ |
$2$ |
$0$ |
$405504$ |
$2.407925$ |
$1114544804970241/405$ |
$1.07354$ |
$5.95891$ |
$[1, -1, 0, -10283859, -12690955580]$ |
\(y^2+xy=x^3-x^2-10283859x-12690955580\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[]$ |
25215.f1 |
25215h8 |
25215.f |
25215h |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 41^{2} \) |
\( 3^{4} \cdot 5 \cdot 41^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$19680$ |
$768$ |
$13$ |
$10.82426373$ |
$1$ |
|
$0$ |
$266240$ |
$2.147655$ |
$1114544804970241/405$ |
$1.07354$ |
$5.61693$ |
$[1, 0, 0, -3630995, -2663397180]$ |
\(y^2+xy=x^3-3630995x-2663397180\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[(1425481/24, 801818593/24)]$ |
27075.f1 |
27075g8 |
27075.f |
27075g |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 3^{4} \cdot 5^{7} \cdot 19^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$9120$ |
$768$ |
$13$ |
$1.714376207$ |
$1$ |
|
$16$ |
$663552$ |
$2.567806$ |
$1114544804970241/405$ |
$1.07354$ |
$6.07175$ |
$[1, 1, 1, -19494188, 33120687656]$ |
\(y^2+xy+y=x^3+x^2-19494188x+33120687656\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[(2550, -1163), (-420, 203272)]$ |
27225.bp1 |
27225bi8 |
27225.bp |
27225bi |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{10} \cdot 5^{7} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$5280$ |
$768$ |
$13$ |
$26.31897150$ |
$1$ |
|
$0$ |
$983040$ |
$2.843842$ |
$1114544804970241/405$ |
$1.07354$ |
$6.39283$ |
$[1, -1, 0, -58806567, -173560171284]$ |
\(y^2+xy=x^3-x^2-58806567x-173560171284\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[(3989448439239/3346, 7959822768481427103/3346)]$ |
27735.k1 |
27735g8 |
27735.k |
27735g |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 43^{2} \) |
\( 3^{4} \cdot 5 \cdot 43^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$20640$ |
$768$ |
$13$ |
$6.481644899$ |
$1$ |
|
$0$ |
$322560$ |
$2.171471$ |
$1114544804970241/405$ |
$1.07354$ |
$5.59256$ |
$[1, 0, 1, -3993879, 3071802841]$ |
\(y^2+xy+y=x^3-3993879x+3071802841\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[(5399/2, 89433/2)]$ |
29040.df1 |
29040dg8 |
29040.df |
29040dg |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 5 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$5280$ |
$768$ |
$13$ |
$4.497953220$ |
$1$ |
|
$3$ |
$327680$ |
$2.182964$ |
$1114544804970241/405$ |
$1.07354$ |
$5.58096$ |
$[0, 1, 0, -4181800, -3292887820]$ |
\(y^2=x^3+x^2-4181800x-3292887820\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[(4748, 289674)]$ |
33135.d1 |
33135a8 |
33135.d |
33135a |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 47^{2} \) |
\( 3^{4} \cdot 5 \cdot 47^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$22560$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$412160$ |
$2.215942$ |
$1114544804970241/405$ |
$1.07354$ |
$5.54825$ |
$[1, 1, 1, -4771486, 4009713254]$ |
\(y^2+xy+y=x^3+x^2-4771486x+4009713254\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[]$ |
35280.do1 |
35280fr8 |
35280.do |
35280fr |
$8$ |
$16$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{10} \cdot 5 \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$3360$ |
$768$ |
$13$ |
$4.430720757$ |
$1$ |
|
$3$ |
$786432$ |
$2.506279$ |
$1114544804970241/405$ |
$1.07354$ |
$5.84774$ |
$[0, 0, 0, -15241107, 22901972114]$ |
\(y^2=x^3-15241107x+22901972114\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[(2479, 18810)]$ |
37845.d1 |
37845d8 |
37845.d |
37845d |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 29^{2} \) |
\( 3^{10} \cdot 5 \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$13920$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$802816$ |
$2.523823$ |
$1114544804970241/405$ |
$1.07354$ |
$5.82878$ |
$[1, -1, 1, -16349198, 25448520512]$ |
\(y^2+xy+y=x^3-x^2-16349198x+25448520512\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[]$ |
38025.cj1 |
38025bc8 |
38025.cj |
38025bc |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{10} \cdot 5^{7} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$6240$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$1769472$ |
$2.927368$ |
$1114544804970241/405$ |
$1.07354$ |
$6.28534$ |
$[1, -1, 0, -82134792, 286529921991]$ |
\(y^2+xy=x^3-x^2-82134792x+286529921991\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[]$ |
39675.bk1 |
39675bc8 |
39675.bk |
39675bc |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 23^{2} \) |
\( 3^{4} \cdot 5^{7} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$11040$ |
$768$ |
$13$ |
$7.575929899$ |
$1$ |
|
$0$ |
$1216512$ |
$2.663334$ |
$1114544804970241/405$ |
$1.07354$ |
$5.96090$ |
$[1, 0, 1, -28566276, 58763946073]$ |
\(y^2+xy+y=x^3-28566276x+58763946073\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[(261497/8, 50818503/8)]$ |
40560.bv1 |
40560ca8 |
40560.bv |
40560ca |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 5 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$6240$ |
$768$ |
$13$ |
$1.791739238$ |
$1$ |
|
$5$ |
$589824$ |
$2.266491$ |
$1114544804970241/405$ |
$1.07354$ |
$5.49969$ |
$[0, 1, 0, -5840696, 5431120020]$ |
\(y^2=x^3+x^2-5840696x+5431120020\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[(1396, 66)]$ |
42135.k1 |
42135f8 |
42135.k |
42135f |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 53^{2} \) |
\( 3^{4} \cdot 5 \cdot 53^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$25440$ |
$768$ |
$13$ |
$1$ |
$4$ |
$2$ |
$0$ |
$585728$ |
$2.276016$ |
$1114544804970241/405$ |
$1.07354$ |
$5.49075$ |
$[1, 0, 1, -6067499, -5753085163]$ |
\(y^2+xy+y=x^3-6067499x-5753085163\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[]$ |
43245.h1 |
43245b8 |
43245.h |
43245b |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 31^{2} \) |
\( 3^{10} \cdot 5 \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$14880$ |
$768$ |
$13$ |
$39.45005330$ |
$1$ |
|
$0$ |
$983040$ |
$2.557171$ |
$1114544804970241/405$ |
$1.07354$ |
$5.79344$ |
$[1, -1, 0, -18682020, -31075534089]$ |
\(y^2+xy=x^3-x^2-18682020x-31075534089\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[(3903801992366218303/11081158, 7616045173456013471795929625/11081158)]$ |