| 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 |
Intrinsic torsion order |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
Manin constant |
| 14.a1 |
14a5 |
14.a |
14a |
$6$ |
$18$ |
\( 2 \cdot 7 \) |
\( 2^{9} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.6.0.6, 9.24.0.3 |
2B, 3B.1.2 |
$504$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$6$ |
$0.413101$ |
$2251439055699625/25088$ |
$1.06489$ |
$13.39507$ |
$1$ |
$[1, 0, 1, -2731, -55146]$ |
\(y^2+xy+y=x^3-2731x-55146\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 8.6.0.b.1, 9.24.0-9.a.1.1, $\ldots$ |
$[ ]$ |
$1$ |
| 14.a2 |
14a3 |
14.a |
14a |
$6$ |
$18$ |
\( 2 \cdot 7 \) |
\( - 2^{18} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.6.0.1, 9.24.0.3 |
2B, 3B.1.2 |
$504$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$1$ |
$3$ |
$0.066527$ |
$-548347731625/1835008$ |
$1.02933$ |
$10.24454$ |
$1$ |
$[1, 0, 1, -171, -874]$ |
\(y^2+xy+y=x^3-171x-874\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 8.6.0.c.1, 9.24.0-9.a.1.1, $\ldots$ |
$[ ]$ |
$1$ |
| 14.a3 |
14a2 |
14.a |
14a |
$6$ |
$18$ |
\( 2 \cdot 7 \) |
\( 2^{3} \cdot 7^{6} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.6.0.6, 3.24.0.1 |
2B, 3Cs.1.1 |
$504$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$4$ |
$2$ |
$-0.136205$ |
$4956477625/941192$ |
$1.00821$ |
$8.45907$ |
$1$ |
$[1, 0, 1, -36, -70]$ |
\(y^2+xy+y=x^3-36x-70\) |
2.3.0.a.1, 3.24.0-3.a.1.1, 6.72.0-6.a.1.1, 8.6.0.b.1, 24.144.1-24.h.1.1, $\ldots$ |
$[ ]$ |
$1$ |
| 14.a4 |
14a6 |
14.a |
14a |
$6$ |
$18$ |
\( 2 \cdot 7 \) |
\( 2 \cdot 7^{2} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.6.0.6, 9.24.0.1 |
2B, 3B.1.1 |
$504$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$4$ |
$6$ |
$-0.685512$ |
$128787625/98$ |
$0.96763$ |
$7.07589$ |
$3$ |
$[1, 0, 1, -11, 12]$ |
\(y^2+xy+y=x^3-11x+12\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 8.6.0.b.1, 9.24.0-9.a.1.2, $\ldots$ |
$[ ]$ |
$3$ |
| 14.a5 |
14a4 |
14.a |
14a |
$6$ |
$18$ |
\( 2 \cdot 7 \) |
\( - 2^{2} \cdot 7 \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.6.0.1, 9.24.0.1 |
2B, 3B.1.1 |
$504$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$5$ |
$3$ |
$-1.032085$ |
$-15625/28$ |
$1.01712$ |
$4.19346$ |
$3$ |
$[1, 0, 1, -1, 0]$ |
\(y^2+xy+y=x^3-x\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 8.6.0.c.1, 9.24.0-9.a.1.2, $\ldots$ |
$[ ]$ |
$3$ |
| 14.a6 |
14a1 |
14.a |
14a |
$6$ |
$18$ |
\( 2 \cdot 7 \) |
\( - 2^{6} \cdot 7^{3} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.6.0.1, 3.24.0.1 |
2B, 3Cs.1.1 |
$504$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$5$ |
$1$ |
$-0.482779$ |
$9938375/21952$ |
$0.98695$ |
$6.49759$ |
$1$ |
$[1, 0, 1, 4, -6]$ |
\(y^2+xy+y=x^3+4x-6\) |
2.3.0.a.1, 3.24.0-3.a.1.1, 6.72.0-6.a.1.1, 8.6.0.c.1, 14.6.0.b.1, $\ldots$ |
$[ ]$ |
$1$ |
| 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 |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$4$ |
$0.290870$ |
$1114544804970241/405$ |
$1.07354$ |
$12.79416$ |
$2$ |
$[1, 1, 1, -2160, -39540]$ |
\(y^2+xy+y=x^3+x^2-2160x-39540\) |
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, $\ldots$ |
$[ ]$ |
$1$ |
| 15.a2 |
15a2 |
15.a |
15a |
$8$ |
$16$ |
\( 3 \cdot 5 \) |
\( 3^{8} \cdot 5^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.96.0.58 |
2Cs |
$240$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$2$ |
$-0.055704$ |
$272223782641/164025$ |
$1.03897$ |
$9.72282$ |
$2$ |
$[1, 1, 1, -135, -660]$ |
\(y^2+xy+y=x^3+x^2-135x-660\) |
2.6.0.a.1, 4.24.0-4.b.1.1, 8.96.0-8.k.1.1, 20.48.0-20.c.1.2, 40.192.1-40.cc.2.4, $\ldots$ |
$[ ]$ |
$1$ |
| 15.a3 |
15a6 |
15.a |
15a |
$8$ |
$16$ |
\( 3 \cdot 5 \) |
\( - 3^{16} \cdot 5 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.96.0.153 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$4$ |
$0.290870$ |
$-147281603041/215233605$ |
$1.05949$ |
$9.96125$ |
$2$ |
$[1, 1, 1, -110, -880]$ |
\(y^2+xy+y=x^3+x^2-110x-880\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.ba.2.6, 16.96.0-16.u.2.3, 20.24.0-20.h.1.1, $\ldots$ |
$[ ]$ |
$1$ |
| 15.a4 |
15a7 |
15.a |
15a |
$8$ |
$16$ |
\( 3 \cdot 5 \) |
\( 3 \cdot 5 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
32.96.0.5 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$4$ |
$-0.402277$ |
$56667352321/15$ |
$1.03019$ |
$9.14328$ |
$4$ |
$[1, 1, 1, -80, 242]$ |
\(y^2+xy+y=x^3+x^2-80x+242\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 16.48.0-16.g.1.2, 24.48.0-24.by.2.3, $\ldots$ |
$[ ]$ |
$2$ |
| 15.a5 |
15a1 |
15.a |
15a |
$8$ |
$16$ |
\( 3 \cdot 5 \) |
\( 3^{4} \cdot 5^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.96.0.3 |
2Cs |
$240$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$6$ |
$1$ |
$-0.402277$ |
$111284641/50625$ |
$1.02534$ |
$6.84168$ |
$2$ |
$[1, 1, 1, -10, -10]$ |
\(y^2+xy+y=x^3+x^2-10x-10\) |
2.6.0.a.1, 4.48.0-4.b.1.1, 8.96.0-8.b.2.9, 24.192.1-24.n.1.1, 40.192.1-40.s.1.5, $\ldots$ |
$[ ]$ |
$1$ |
| 15.a6 |
15a3 |
15.a |
15a |
$8$ |
$16$ |
\( 3 \cdot 5 \) |
\( 3^{2} \cdot 5^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.96.0.7 |
2Cs |
$240$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$6$ |
$2$ |
$-0.748851$ |
$13997521/225$ |
$0.96230$ |
$6.07610$ |
$2$ |
$[1, 1, 1, -5, 2]$ |
\(y^2+xy+y=x^3+x^2-5x+2\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.i.1.10, 16.96.0-16.d.2.3, 24.96.0-24.bb.2.5, $\ldots$ |
$[ ]$ |
$2$ |
| 15.a7 |
15a8 |
15.a |
15a |
$8$ |
$16$ |
\( 3 \cdot 5 \) |
\( - 3 \cdot 5 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
32.96.0.5 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$3$ |
$4$ |
$-1.095425$ |
$-1/15$ |
$1.19808$ |
$3.75281$ |
$4$ |
$[1, 1, 1, 0, 0]$ |
\(y^2+xy+y=x^3+x^2\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 16.48.0-16.g.1.2, 24.48.0-24.bz.1.3, $\ldots$ |
$[ ]$ |
$4$ |
| 15.a8 |
15a4 |
15.a |
15a |
$8$ |
$16$ |
\( 3 \cdot 5 \) |
\( - 3^{2} \cdot 5^{8} \) |
$0$ |
$\Z/8\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.96.0.99 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$6$ |
$2$ |
$-0.055704$ |
$4733169839/3515625$ |
$1.05585$ |
$8.22653$ |
$1$ |
$[1, 1, 1, 35, -28]$ |
\(y^2+xy+y=x^3+x^2+35x-28\) |
2.3.0.a.1, 4.24.0-4.d.1.1, 8.96.0-8.n.2.5, 24.192.1-24.cv.2.2, 80.192.1.?, $\ldots$ |
$[ ]$ |
$1$ |
| 17.a1 |
17a3 |
17.a |
17a |
$4$ |
$4$ |
\( 17 \) |
\( 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
32.96.0.18 |
2B |
$1088$ |
$1536$ |
$53$ |
$1$ |
$1$ |
|
$0$ |
$4$ |
$-0.376636$ |
$82483294977/17$ |
$1.03131$ |
$8.87186$ |
$2$ |
$[1, -1, 1, -91, -310]$ |
\(y^2+xy+y=x^3-x^2-91x-310\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.3, 16.48.0-16.j.1.3, 32.96.0-32.f.2.1, $\ldots$ |
$[ ]$ |
$2$ |
| 17.a2 |
17a2 |
17.a |
17a |
$4$ |
$4$ |
\( 17 \) |
\( 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.96.0.13 |
2Cs |
$544$ |
$1536$ |
$53$ |
$1$ |
$1$ |
|
$2$ |
$2$ |
$-0.723209$ |
$20346417/289$ |
$1.02963$ |
$5.93969$ |
$2$ |
$[1, -1, 1, -6, -4]$ |
\(y^2+xy+y=x^3-x^2-6x-4\) |
2.6.0.a.1, 4.24.0-4.a.1.1, 8.48.0-8.f.1.1, 16.96.0-16.c.2.2, 68.48.0-68.b.1.1, $\ldots$ |
$[ ]$ |
$2$ |
| 17.a3 |
17a1 |
17.a |
17a |
$4$ |
$4$ |
\( 17 \) |
\( - 17^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.96.0.32 |
2B |
$1088$ |
$1536$ |
$53$ |
$1$ |
$1$ |
|
$2$ |
$1$ |
$-0.376636$ |
$-35937/83521$ |
$1.18071$ |
$6.63128$ |
$1$ |
$[1, -1, 1, -1, -14]$ |
\(y^2+xy+y=x^3-x^2-x-14\) |
2.3.0.a.1, 4.24.0-4.d.1.1, 8.48.0-8.t.1.2, 16.96.0-16.m.2.1, 136.96.1.?, $\ldots$ |
$[ ]$ |
$1$ |
| 17.a4 |
17a4 |
17.a |
17a |
$4$ |
$4$ |
\( 17 \) |
\( 17 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
32.96.0.10 |
2B |
$1088$ |
$1536$ |
$53$ |
$1$ |
$1$ |
|
$3$ |
$4$ |
$-1.069784$ |
$35937/17$ |
$1.02432$ |
$3.70234$ |
$4$ |
$[1, -1, 1, -1, 0]$ |
\(y^2+xy+y=x^3-x^2-x\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.o.1.1, 16.48.0-16.j.1.1, 32.96.0-32.f.2.2, $\ldots$ |
$[ ]$ |
$4$ |
| 20.a1 |
20a4 |
20.a |
20a |
$4$ |
$6$ |
\( 2^{2} \cdot 5 \) |
\( 2^{4} \cdot 5^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.22, 3.8.0.2 |
2B, 3B.1.2 |
$120$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$6$ |
$-0.380644$ |
$488095744/125$ |
$1.07376$ |
$7.60369$ |
$2$ |
$[0, 1, 0, -41, -116]$ |
\(y^2=x^3+x^2-41x-116\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.b.1, 6.24.0-6.a.1.2, 8.12.0-4.b.1.2, $\ldots$ |
$[ ]$ |
$2$ |
| 20.a2 |
20a3 |
20.a |
20a |
$4$ |
$6$ |
\( 2^{2} \cdot 5 \) |
\( - 2^{8} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.37, 3.8.0.2 |
2B, 3B.1.2 |
$120$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$3$ |
$-0.034070$ |
$-20720464/15625$ |
$0.95894$ |
$7.75305$ |
$1$ |
$[0, 1, 0, -36, -140]$ |
\(y^2=x^3+x^2-36x-140\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.a.1, 6.24.0-6.a.1.2, 8.12.0-4.a.1.1, $\ldots$ |
$[ ]$ |
$1$ |
| 20.a3 |
20a2 |
20.a |
20a |
$4$ |
$6$ |
\( 2^{2} \cdot 5 \) |
\( 2^{4} \cdot 5 \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.22, 3.8.0.1 |
2B, 3B.1.1 |
$120$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$5$ |
$2$ |
$-0.929950$ |
$16384/5$ |
$0.95621$ |
$4.16481$ |
$2$ |
$[0, 1, 0, -1, 0]$ |
\(y^2=x^3+x^2-x\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.b.1, 6.24.0-6.a.1.4, 8.12.0-4.b.1.2, $\ldots$ |
$[ ]$ |
$2$ |
| 20.a4 |
20a1 |
20.a |
20a |
$4$ |
$6$ |
\( 2^{2} \cdot 5 \) |
\( - 2^{8} \cdot 5^{2} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.37, 3.8.0.1 |
2B, 3B.1.1 |
$120$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$5$ |
$1$ |
$-0.583377$ |
$21296/25$ |
$0.83964$ |
$5.18725$ |
$1$ |
$[0, 1, 0, 4, 4]$ |
\(y^2=x^3+x^2+4x+4\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.a.1, 6.24.0-6.a.1.4, 8.12.0-4.a.1.1, $\ldots$ |
$[ ]$ |
$1$ |
| 21.a1 |
21a5 |
21.a |
21a |
$6$ |
$8$ |
\( 3 \cdot 7 \) |
\( 3 \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.48.0.48 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$4$ |
$0.074205$ |
$53297461115137/147$ |
$1.05087$ |
$10.38157$ |
$2$ |
$[1, 0, 0, -784, -8515]$ |
\(y^2+xy=x^3-784x-8515\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 12.24.0-12.h.1.1, 16.48.0-16.e.2.5, $\ldots$ |
$[ ]$ |
$1$ |
| 21.a2 |
21a2 |
21.a |
21a |
$6$ |
$8$ |
\( 3 \cdot 7 \) |
\( 3^{2} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.48.0.34 |
2Cs |
$168$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$2$ |
$-0.272368$ |
$13027640977/21609$ |
$1.08149$ |
$7.64992$ |
$2$ |
$[1, 0, 0, -49, -136]$ |
\(y^2+xy=x^3-49x-136\) |
2.6.0.a.1, 4.24.0-4.b.1.1, 8.48.0-8.e.1.1, 12.48.0-12.c.1.3, 24.96.0-24.j.2.5, $\ldots$ |
$[ ]$ |
$1$ |
| 21.a3 |
21a3 |
21.a |
21a |
$6$ |
$8$ |
\( 3 \cdot 7 \) |
\( 3^{8} \cdot 7 \) |
$0$ |
$\Z/8\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.48.0.159 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$6$ |
$2$ |
$-0.272368$ |
$6570725617/45927$ |
$1.00160$ |
$7.42510$ |
$1$ |
$[1, 0, 0, -39, 90]$ |
\(y^2+xy=x^3-39x+90\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 28.24.0-28.h.1.2, 48.96.0-48.bf.1.3, $\ldots$ |
$[ ]$ |
$1$ |
| 21.a4 |
21a6 |
21.a |
21a |
$6$ |
$8$ |
\( 3 \cdot 7 \) |
\( - 3 \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.48.0.177 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$4$ |
$0.074205$ |
$-4354703137/17294403$ |
$1.04266$ |
$7.96731$ |
$2$ |
$[1, 0, 0, -34, -217]$ |
\(y^2+xy=x^3-34x-217\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 6.6.0.a.1, 8.48.0-8.bb.2.3, 12.24.0-12.g.1.1, $\ldots$ |
$[ ]$ |
$1$ |
| 21.a5 |
21a1 |
21.a |
21a |
$6$ |
$8$ |
\( 3 \cdot 7 \) |
\( 3^{4} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.48.0.24 |
2Cs |
$168$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$6$ |
$1$ |
$-0.618942$ |
$7189057/3969$ |
$1.14862$ |
$5.18573$ |
$1$ |
$[1, 0, 0, -4, -1]$ |
\(y^2+xy=x^3-4x-1\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.e.2.2, 24.96.0-24.w.2.6, 28.48.0-28.c.1.1, $\ldots$ |
$[ ]$ |
$1$ |
| 21.a6 |
21a4 |
21.a |
21a |
$6$ |
$8$ |
\( 3 \cdot 7 \) |
\( - 3^{2} \cdot 7 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.48.0.27 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$2$ |
$-0.965515$ |
$103823/63$ |
$0.97868$ |
$3.79384$ |
$2$ |
$[1, 0, 0, 1, 0]$ |
\(y^2+xy=x^3+x\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 14.6.0.b.1, 16.48.0-16.e.1.2, $\ldots$ |
$[ ]$ |
$2$ |
| 24.a1 |
24a5 |
24.a |
24a |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \) |
\( 2^{11} \cdot 3^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.135 |
2B |
$48$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$4$ |
$0.047795$ |
$3065617154/9$ |
$1.21059$ |
$9.27238$ |
$2$ |
$[0, -1, 0, -384, -2772]$ |
\(y^2=x^3-x^2-384x-2772\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.r.1.6, 16.96.0-16.l.1.6, 24.96.0-24.bf.1.4, $\ldots$ |
$[ ]$ |
$1$ |
| 24.a2 |
24a3 |
24.a |
24a |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \) |
\( 2^{10} \cdot 3 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.106 |
2B |
$48$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$2$ |
$-0.298779$ |
$28756228/3$ |
$1.05617$ |
$7.58509$ |
$2$ |
$[0, -1, 0, -64, 220]$ |
\(y^2=x^3-x^2-64x+220\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.2.4, 12.24.0-12.h.1.2, 16.96.0-16.bb.2.4, $\ldots$ |
$[ ]$ |
$1$ |
| 24.a3 |
24a2 |
24.a |
24a |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \) |
\( 2^{10} \cdot 3^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.49 |
2Cs |
$24$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$2$ |
$-0.298779$ |
$1556068/81$ |
$1.03212$ |
$6.66733$ |
$2$ |
$[0, -1, 0, -24, -36]$ |
\(y^2=x^3-x^2-24x-36\) |
2.6.0.a.1, 4.24.0-4.b.1.1, 8.96.0-8.e.2.2, 24.192.1-24.bl.2.4 |
$[ ]$ |
$1$ |
| 24.a4 |
24a1 |
24.a |
24a |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \) |
\( 2^{8} \cdot 3^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.42 |
2Cs |
$24$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$7$ |
$1$ |
$-0.645352$ |
$35152/9$ |
$0.97255$ |
$5.03850$ |
$1$ |
$[0, -1, 0, -4, 4]$ |
\(y^2=x^3-x^2-4x+4\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.h.1.6, 12.48.0-12.c.1.1, 24.192.1-24.bu.1.7 |
$[ ]$ |
$1$ |
| 24.a5 |
24a4 |
24.a |
24a |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \) |
\( - 2^{4} \cdot 3 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.110 |
2B |
$48$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$2$ |
$-0.991926$ |
$2048/3$ |
$1.17572$ |
$3.40564$ |
$2$ |
$[0, -1, 0, 1, 0]$ |
\(y^2=x^3-x^2+x\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 6.6.0.a.1, 8.48.0-8.ba.1.2, 12.24.0-12.g.1.2, $\ldots$ |
$[ ]$ |
$2$ |
| 24.a6 |
24a6 |
24.a |
24a |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \) |
\( - 2^{11} \cdot 3^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.166 |
2B |
$48$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$4$ |
$0.047795$ |
$207646/6561$ |
$1.15980$ |
$7.50451$ |
$2$ |
$[0, -1, 0, 16, -180]$ |
\(y^2=x^3-x^2+16x-180\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.96.0-8.m.1.2, 48.192.1-48.w.2.4 |
$[ ]$ |
$1$ |
| 30.a1 |
30a7 |
30.a |
30a |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \) |
\( 2^{3} \cdot 3^{4} \cdot 5^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.7, 3.8.0.2 |
2B, 3B.1.2 |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$24$ |
$0.564166$ |
$16778985534208729/81000$ |
$1.08181$ |
$10.98404$ |
$2$ |
$[1, 0, 1, -5334, -150368]$ |
\(y^2+xy+y=x^3-5334x-150368\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 8.12.0-4.c.1.3, $\ldots$ |
$[ ]$ |
$1$ |
| 30.a2 |
30a8 |
30.a |
30a |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \) |
\( 2^{3} \cdot 3 \cdot 5^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.8, 3.8.0.2 |
2B, 3B.1.2 |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$24$ |
$0.564166$ |
$10316097499609/5859375000$ |
$1.13600$ |
$8.81005$ |
$2$ |
$[1, 0, 1, -454, -544]$ |
\(y^2+xy+y=x^3-454x-544\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 8.12.0-4.c.1.4, $\ldots$ |
$[ ]$ |
$1$ |
| 30.a3 |
30a6 |
30.a |
30a |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.1, 3.8.0.2 |
2Cs, 3B.1.2 |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$12$ |
$0.217592$ |
$4102915888729/9000000$ |
$1.05221$ |
$8.53897$ |
$1$ |
$[1, 0, 1, -334, -2368]$ |
\(y^2+xy+y=x^3-334x-2368\) |
2.6.0.a.1, 3.8.0-3.a.1.1, 6.48.0-6.a.1.2, 8.12.0-2.a.1.1, 12.96.0-12.a.1.15, $\ldots$ |
$[ ]$ |
$1$ |
| 30.a4 |
30a5 |
30.a |
30a |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \) |
\( 2 \cdot 3^{3} \cdot 5^{4} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.8, 3.8.0.1 |
2B, 3B.1.1 |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$4$ |
$8$ |
$0.014860$ |
$2656166199049/33750$ |
$1.05017$ |
$8.41113$ |
$2$ |
$[1, 0, 1, -289, 1862]$ |
\(y^2+xy+y=x^3-289x+1862\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 8.12.0-4.c.1.4, $\ldots$ |
$[ ]$ |
$1$ |
| 30.a5 |
30a4 |
30.a |
30a |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \) |
\( 2 \cdot 3^{12} \cdot 5 \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.7, 3.8.0.1 |
2B, 3B.1.1 |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$4$ |
$8$ |
$0.014860$ |
$35578826569/5314410$ |
$1.03393$ |
$7.14308$ |
$2$ |
$[1, 0, 1, -69, -194]$ |
\(y^2+xy+y=x^3-69x-194\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 8.12.0-4.c.1.3, $\ldots$ |
$[ ]$ |
$1$ |
| 30.a6 |
30a2 |
30.a |
30a |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.1, 3.8.0.1 |
2Cs, 3B.1.1 |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$10$ |
$4$ |
$-0.331714$ |
$702595369/72900$ |
$1.00457$ |
$5.98915$ |
$1$ |
$[1, 0, 1, -19, 26]$ |
\(y^2+xy+y=x^3-19x+26\) |
2.6.0.a.1, 3.8.0-3.a.1.2, 6.48.0-6.a.1.1, 8.12.0-2.a.1.1, 12.96.0-12.a.2.13, $\ldots$ |
$[ ]$ |
$1$ |
| 30.a7 |
30a3 |
30.a |
30a |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \) |
\( - 2^{12} \cdot 3 \cdot 5^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.12, 3.8.0.2 |
2B, 3B.1.2 |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$6$ |
$-0.128981$ |
$-273359449/1536000$ |
$1.04920$ |
$6.40875$ |
$2$ |
$[1, 0, 1, -14, -64]$ |
\(y^2+xy+y=x^3-14x-64\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 8.12.0-4.c.1.2, $\ldots$ |
$[ ]$ |
$1$ |
| 30.a8 |
30a1 |
30.a |
30a |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \) |
\( - 2^{4} \cdot 3^{3} \cdot 5 \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.12.0.12, 3.8.0.1 |
2B, 3B.1.1 |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$5$ |
$2$ |
$-0.678288$ |
$357911/2160$ |
$0.99689$ |
$4.41955$ |
$2$ |
$[1, 0, 1, 1, 2]$ |
\(y^2+xy+y=x^3+x+2\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 8.12.0-4.c.1.2, $\ldots$ |
$[ ]$ |
$1$ |
| 33.a1 |
33a3 |
33.a |
33a |
$4$ |
$4$ |
\( 3 \cdot 11 \) |
\( 3^{3} \cdot 11^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$6$ |
$-0.012632$ |
$347873904937/395307$ |
$1.00913$ |
$7.60047$ |
$1$ |
$[1, 1, 0, -146, 621]$ |
\(y^2+xy=x^3+x^2-146x+621\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 12.24.0-12.h.1.2, 88.24.0.?, 264.48.0.? |
$[ ]$ |
$1$ |
| 33.a2 |
33a1 |
33.a |
33a |
$4$ |
$4$ |
\( 3 \cdot 11 \) |
\( 3^{6} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.1 |
2Cs |
$132$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$3$ |
$-0.359206$ |
$169112377/88209$ |
$1.00669$ |
$5.41857$ |
$1$ |
$[1, 1, 0, -11, 0]$ |
\(y^2+xy=x^3+x^2-11x\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.1, 44.24.0-44.b.1.2, 132.48.0.? |
$[ ]$ |
$1$ |
| 33.a3 |
33a2 |
33.a |
33a |
$4$ |
$4$ |
\( 3 \cdot 11 \) |
\( 3^{3} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6$ |
$-0.705779$ |
$30664297/297$ |
$1.09706$ |
$4.93024$ |
$2$ |
$[1, 1, 0, -6, -9]$ |
\(y^2+xy=x^3+x^2-6x-9\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.2, 24.24.0-24.ba.1.4, $\ldots$ |
$[ ]$ |
$2$ |
| 33.a4 |
33a4 |
33.a |
33a |
$4$ |
$4$ |
\( 3 \cdot 11 \) |
\( - 3^{12} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6$ |
$-0.012632$ |
$9090072503/5845851$ |
$1.03763$ |
$6.55810$ |
$2$ |
$[1, 1, 0, 44, 55]$ |
\(y^2+xy=x^3+x^2+44x+55\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 22.6.0.a.1, 24.24.0-24.ba.1.16, 44.24.0-44.g.1.1, $\ldots$ |
$[ ]$ |
$1$ |
| 34.a1 |
34a4 |
34.a |
34a |
$4$ |
$6$ |
\( 2 \cdot 17 \) |
\( 2 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.6.0.6, 3.8.0.2 |
2B, 3B.1.2 |
$408$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$12$ |
$0.179487$ |
$159661140625/48275138$ |
$1.06848$ |
$7.31528$ |
$1$ |
$[1, 0, 0, -113, -329]$ |
\(y^2+xy=x^3-113x-329\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 8.6.0.b.1, 24.48.0-24.y.1.13, $\ldots$ |
$[ ]$ |
$1$ |
| 34.a2 |
34a3 |
34.a |
34a |
$4$ |
$6$ |
\( 2 \cdot 17 \) |
\( 2^{2} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.6.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$408$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$6$ |
$-0.167086$ |
$120920208625/19652$ |
$0.98564$ |
$7.23647$ |
$1$ |
$[1, 0, 0, -103, -411]$ |
\(y^2+xy=x^3-103x-411\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 8.6.0.c.1, 24.48.0-24.bw.1.11, $\ldots$ |
$[ ]$ |
$1$ |
| 34.a3 |
34a2 |
34.a |
34a |
$4$ |
$6$ |
\( 2 \cdot 17 \) |
\( 2^{3} \cdot 17^{2} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.6.0.6, 3.8.0.1 |
2B, 3B.1.1 |
$408$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$4$ |
$-0.369819$ |
$8805624625/2312$ |
$0.96590$ |
$6.49357$ |
$1$ |
$[1, 0, 0, -43, 105]$ |
\(y^2+xy=x^3-43x+105\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 8.6.0.b.1, 24.48.0-24.y.1.15, $\ldots$ |
$[ ]$ |
$1$ |
| 34.a4 |
34a1 |
34.a |
34a |
$4$ |
$6$ |
\( 2 \cdot 17 \) |
\( 2^{6} \cdot 17 \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
8.6.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$408$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$5$ |
$2$ |
$-0.716393$ |
$3048625/1088$ |
$0.90010$ |
$4.23388$ |
$1$ |
$[1, 0, 0, -3, 1]$ |
\(y^2+xy=x^3-3x+1\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 8.6.0.c.1, 24.48.0-24.bw.1.15, $\ldots$ |
$[ ]$ |
$1$ |
