| 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, $\ldots$ |
$[ ]$ |
$1$ |
| 19.a1 |
19a2 |
19.a |
19a |
$3$ |
$9$ |
\( 19 \) |
\( -19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
27.72.0.2 |
3B.1.2 |
$1026$ |
$1296$ |
$43$ |
$1$ |
$1$ |
|
$0$ |
$3$ |
$0.033439$ |
$-50357871050752/19$ |
$1.10495$ |
$10.71517$ |
$1$ |
$[0, 1, 1, -769, -8470]$ |
\(y^2+y=x^3+x^2-769x-8470\) |
3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 27.72.0-27.a.1.1, 38.2.0.a.1, 114.16.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 19.a2 |
19a1 |
19.a |
19a |
$3$ |
$9$ |
\( 19 \) |
\( - 19^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.72.0.3 |
3Cs.1.1 |
$1026$ |
$1296$ |
$43$ |
$1$ |
$1$ |
|
$2$ |
$1$ |
$-0.515867$ |
$-89915392/6859$ |
$1.03310$ |
$6.26204$ |
$1$ |
$[0, 1, 1, -9, -15]$ |
\(y^2+y=x^3+x^2-9x-15\) |
3.24.0-3.a.1.1, 9.72.0-9.b.1.1, 38.2.0.a.1, 114.48.1.?, 171.216.4.?, $\ldots$ |
$[ ]$ |
$1$ |
| 19.a3 |
19a3 |
19.a |
19a |
$3$ |
$9$ |
\( 19 \) |
\( -19 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
27.72.0.1 |
3B.1.1 |
$1026$ |
$1296$ |
$43$ |
$1$ |
$1$ |
|
$2$ |
$3$ |
$-1.065172$ |
$32768/19$ |
$1.31757$ |
$3.53113$ |
$3$ |
$[0, 1, 1, 1, 0]$ |
\(y^2+y=x^3+x^2+x\) |
3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 27.72.0-27.a.1.2, 38.2.0.a.1, 114.16.0.?, $\ldots$ |
$[ ]$ |
$3$ |
| 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, $\ldots$ |
$[ ]$ |
$1$ |
| 26.a1 |
26a2 |
26.a |
26a |
$3$ |
$9$ |
\( 2 \cdot 13 \) |
\( - 2^{9} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.24.0.3 |
3B.1.2 |
$936$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$6$ |
$0.054386$ |
$-10730978619193/6656$ |
$1.02193$ |
$9.20911$ |
$1$ |
$[1, 0, 1, -460, -3830]$ |
\(y^2+xy+y=x^3-460x-3830\) |
3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 104.2.0.?, 117.72.0.?, 312.16.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 26.a2 |
26a1 |
26.a |
26a |
$3$ |
$9$ |
\( 2 \cdot 13 \) |
\( - 2^{3} \cdot 13^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.24.0.1 |
3Cs.1.1 |
$936$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$2$ |
$2$ |
$-0.494920$ |
$-10218313/17576$ |
$0.94717$ |
$5.37707$ |
$1$ |
$[1, 0, 1, -5, -8]$ |
\(y^2+xy+y=x^3-5x-8\) |
3.24.0-3.a.1.1, 104.2.0.?, 117.72.0.?, 312.48.1.?, 936.144.3.? |
$[ ]$ |
$1$ |
| 26.a3 |
26a3 |
26.a |
26a |
$3$ |
$9$ |
\( 2 \cdot 13 \) |
\( - 2 \cdot 13 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.24.0.1 |
3B.1.1 |
$936$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$2$ |
$6$ |
$-1.044226$ |
$12167/26$ |
$0.84415$ |
$3.19113$ |
$3$ |
$[1, 0, 1, 0, 0]$ |
\(y^2+xy+y=x^3\) |
3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 104.2.0.?, 117.72.0.?, 312.16.0.?, $\ldots$ |
$[ ]$ |
$3$ |
| 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, $\ldots$ |
$[ ]$ |
$1$ |
| 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, $\ldots$ |
$[ ]$ |
$1$ |
| 35.a1 |
35a2 |
35.a |
35a |
$3$ |
$9$ |
\( 5 \cdot 7 \) |
\( - 5^{9} \cdot 7 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.24.0.3 |
3B.1.2 |
$630$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$6$ |
$0.127462$ |
$-250523582464/13671875$ |
$1.02112$ |
$7.40770$ |
$1$ |
$[0, 1, 1, -131, -650]$ |
\(y^2+y=x^3+x^2-131x-650\) |
3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 63.72.0-63.e.2.2, 70.2.0.a.1, 210.16.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 35.a2 |
35a3 |
35.a |
35a |
$3$ |
$9$ |
\( 5 \cdot 7 \) |
\( - 5 \cdot 7 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.24.0.1 |
3B.1.1 |
$630$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$2$ |
$6$ |
$-0.971150$ |
$-262144/35$ |
$0.88715$ |
$3.56765$ |
$3$ |
$[0, 1, 1, -1, 0]$ |
\(y^2+y=x^3+x^2-x\) |
3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 63.72.0-63.e.1.2, 70.2.0.a.1, 210.16.0.?, $\ldots$ |
$[ ]$ |
$3$ |
| 35.a3 |
35a1 |
35.a |
35a |
$3$ |
$9$ |
\( 5 \cdot 7 \) |
\( - 5^{3} \cdot 7^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.24.0.1 |
3Cs.1.1 |
$630$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$2$ |
$2$ |
$-0.421844$ |
$71991296/42875$ |
$1.06493$ |
$5.08869$ |
$1$ |
$[0, 1, 1, 9, 1]$ |
\(y^2+y=x^3+x^2+9x+1\) |
3.24.0-3.a.1.1, 63.72.0-63.b.1.3, 70.2.0.a.1, 210.48.1.?, 630.144.3.? |
$[ ]$ |
$1$ |
| 37.b1 |
37b2 |
37.b |
37b |
$3$ |
$9$ |
\( 37 \) |
\( 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
27.72.0.2 |
3B.1.2 |
$1998$ |
$1296$ |
$43$ |
$1$ |
$1$ |
|
$0$ |
$6$ |
$0.222082$ |
$727057727488000/37$ |
$1.08598$ |
$9.47682$ |
$1$ |
$[0, 1, 1, -1873, -31833]$ |
\(y^2+y=x^3+x^2-1873x-31833\) |
3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 27.72.0-27.a.1.1, 74.2.0.?, 222.16.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 37.b2 |
37b1 |
37.b |
37b |
$3$ |
$9$ |
\( 37 \) |
\( 37^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.72.0.3 |
3Cs.1.1 |
$1998$ |
$1296$ |
$43$ |
$1$ |
$1$ |
|
$2$ |
$2$ |
$-0.327225$ |
$1404928000/50653$ |
$0.97274$ |
$5.83321$ |
$1$ |
$[0, 1, 1, -23, -50]$ |
\(y^2+y=x^3+x^2-23x-50\) |
3.24.0-3.a.1.1, 9.72.0-9.b.1.1, 74.2.0.?, 222.48.1.?, 333.216.4.?, $\ldots$ |
$[ ]$ |
$1$ |
| 37.b3 |
37b3 |
37.b |
37b |
$3$ |
$9$ |
\( 37 \) |
\( 37 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
27.72.0.1 |
3B.1.1 |
$1998$ |
$1296$ |
$43$ |
$1$ |
$1$ |
|
$2$ |
$6$ |
$-0.876531$ |
$4096000/37$ |
$0.88268$ |
$4.21652$ |
$3$ |
$[0, 1, 1, -3, 1]$ |
\(y^2+y=x^3+x^2-3x+1\) |
3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 27.72.0-27.a.1.2, 74.2.0.?, 222.16.0.?, $\ldots$ |
$[ ]$ |
$3$ |
| 38.a1 |
38a2 |
38.a |
38a |
$3$ |
$9$ |
\( 2 \cdot 19 \) |
\( - 2^{27} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
27.72.0.2 |
3B.1.2 |
$4104$ |
$1296$ |
$43$ |
$1$ |
$1$ |
|
$0$ |
$18$ |
$0.485169$ |
$-69173457625/2550136832$ |
$1.05462$ |
$8.00798$ |
$1$ |
$[1, 0, 1, -86, -2456]$ |
\(y^2+xy+y=x^3-86x-2456\) |
3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 27.72.0-27.a.1.1, 152.2.0.?, 171.72.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 38.a2 |
38a3 |
38.a |
38a |
$3$ |
$9$ |
\( 2 \cdot 19 \) |
\( - 2^{3} \cdot 19 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
27.72.0.1 |
3B.1.1 |
$4104$ |
$1296$ |
$43$ |
$1$ |
$1$ |
|
$2$ |
$18$ |
$-0.613442$ |
$-413493625/152$ |
$0.93281$ |
$5.45438$ |
$3$ |
$[1, 0, 1, -16, 22]$ |
\(y^2+xy+y=x^3-16x+22\) |
3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 27.72.0-27.a.1.2, 152.2.0.?, 171.72.0.?, $\ldots$ |
$[ ]$ |
$3$ |
| 38.a3 |
38a1 |
38.a |
38a |
$3$ |
$9$ |
\( 2 \cdot 19 \) |
\( - 2^{9} \cdot 19^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.72.0.3 |
3Cs.1.1 |
$4104$ |
$1296$ |
$43$ |
$1$ |
$1$ |
|
$2$ |
$6$ |
$-0.064137$ |
$94196375/3511808$ |
$1.01875$ |
$6.18837$ |
$1$ |
$[1, 0, 1, 9, 90]$ |
\(y^2+xy+y=x^3+9x+90\) |
3.24.0-3.a.1.1, 9.72.0-9.b.1.1, 152.2.0.?, 171.216.4.?, 456.48.1.?, $\ldots$ |
$[ ]$ |
$1$ |
| 44.a1 |
44a2 |
44.a |
44a |
$2$ |
$3$ |
\( 2^{2} \cdot 11 \) |
\( - 2^{8} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$66$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6$ |
$-0.102988$ |
$-199794688/1331$ |
$0.99506$ |
$6.51908$ |
$1$ |
$[0, 1, 0, -77, -289]$ |
\(y^2=x^3+x^2-77x-289\) |
3.8.0-3.a.1.1, 22.2.0.a.1, 66.16.0-66.a.1.1 |
$[ ]$ |
$1$ |
| 44.a2 |
44a1 |
44.a |
44a |
$2$ |
$3$ |
\( 2^{2} \cdot 11 \) |
\( - 2^{8} \cdot 11 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$66$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$2$ |
$-0.652294$ |
$8192/11$ |
$0.84294$ |
$3.91998$ |
$1$ |
$[0, 1, 0, 3, -1]$ |
\(y^2=x^3+x^2+3x-1\) |
3.8.0-3.a.1.2, 22.2.0.a.1, 66.16.0-66.a.1.4 |
$[ ]$ |
$1$ |
| 50.a1 |
50a2 |
50.a |
50a |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \) |
\( - 2^{3} \cdot 5^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.8.0.2, 5.24.0.4 |
3B.1.2, 5B.1.3 |
$120$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$6$ |
$-0.176793$ |
$-349938025/8$ |
$1.05078$ |
$6.67457$ |
$1$ |
$[1, 0, 1, -126, -552]$ |
\(y^2+xy+y=x^3-126x-552\) |
3.8.0-3.a.1.1, 5.24.0-5.a.2.1, 8.2.0.a.1, 15.192.1-15.a.1.1, 24.16.0-24.a.1.6, $\ldots$ |
$[ ]$ |
$1$ |
| 50.a2 |
50a3 |
50.a |
50a |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \) |
\( - 2^{5} \cdot 5^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.8.0.1, 5.24.0.2 |
3B.1.1, 5B.1.4 |
$120$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$2$ |
$10$ |
$0.078619$ |
$-121945/32$ |
$0.94334$ |
$6.38053$ |
$1$ |
$[1, 0, 1, -76, 298]$ |
\(y^2+xy+y=x^3-76x+298\) |
3.8.0-3.a.1.2, 5.24.0-5.a.1.1, 8.2.0.a.1, 15.192.1-15.a.4.4, 24.16.0-24.a.1.8, $\ldots$ |
$[ ]$ |
$1$ |
| 50.a3 |
50a1 |
50.a |
50a |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \) |
\( - 2 \cdot 5^{4} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.8.0.1, 5.24.0.4 |
3B.1.1, 5B.1.3 |
$120$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$2$ |
$2$ |
$-0.726100$ |
$-25/2$ |
$1.09044$ |
$3.73025$ |
$1$ |
$[1, 0, 1, -1, -2]$ |
\(y^2+xy+y=x^3-x-2\) |
3.8.0-3.a.1.2, 5.24.0-5.a.2.1, 8.2.0.a.1, 15.192.1-15.a.2.3, 24.16.0-24.a.1.8, $\ldots$ |
$[ ]$ |
$1$ |
| 50.a4 |
50a4 |
50.a |
50a |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \) |
\( - 2^{15} \cdot 5^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.8.0.2, 5.24.0.2 |
3B.1.2, 5B.1.4 |
$120$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$30$ |
$0.627926$ |
$46969655/32768$ |
$1.06296$ |
$7.80683$ |
$1$ |
$[1, 0, 1, 549, -2202]$ |
\(y^2+xy+y=x^3+549x-2202\) |
3.8.0-3.a.1.1, 5.24.0-5.a.1.1, 8.2.0.a.1, 15.192.1-15.a.3.2, 24.16.0-24.a.1.6, $\ldots$ |
$[ ]$ |
$1$ |
| 50.b1 |
50b4 |
50.b |
50b |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \) |
\( - 2^{3} \cdot 5^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.24.0.3 |
3B, 5B.1.2 |
$120$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$30$ |
$0.627926$ |
$-349938025/8$ |
$1.05078$ |
$9.14302$ |
$1$ |
$[1, 1, 1, -3138, -68969]$ |
\(y^2+xy+y=x^3+x^2-3138x-68969\) |
3.4.0.a.1, 5.24.0-5.a.2.2, 8.2.0.a.1, 15.192.1-15.a.1.3, 24.8.0.a.1, $\ldots$ |
$[ ]$ |
$1$ |
| 50.b2 |
50b3 |
50.b |
50b |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \) |
\( - 2 \cdot 5^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.24.0.3 |
3B, 5B.1.2 |
$120$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$10$ |
$0.078619$ |
$-25/2$ |
$1.09044$ |
$6.19870$ |
$1$ |
$[1, 1, 1, -13, -219]$ |
\(y^2+xy+y=x^3+x^2-13x-219\) |
3.4.0.a.1, 5.24.0-5.a.2.2, 8.2.0.a.1, 15.192.1-15.a.2.4, 24.8.0.a.1, $\ldots$ |
$[ ]$ |
$1$ |
| 50.b3 |
50b1 |
50.b |
50b |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \) |
\( - 2^{5} \cdot 5^{2} \) |
$0$ |
$\Z/5\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.24.0.1 |
3B, 5B.1.1 |
$120$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$4$ |
$2$ |
$-0.726100$ |
$-121945/32$ |
$0.94334$ |
$3.91208$ |
$1$ |
$[1, 1, 1, -3, 1]$ |
\(y^2+xy+y=x^3+x^2-3x+1\) |
3.4.0.a.1, 5.24.0-5.a.1.2, 8.2.0.a.1, 15.192.1-15.a.4.3, 24.8.0.a.1, $\ldots$ |
$[ ]$ |
$1$ |
| 50.b4 |
50b2 |
50.b |
50b |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \) |
\( - 2^{15} \cdot 5^{2} \) |
$0$ |
$\Z/5\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.24.0.1 |
3B, 5B.1.1 |
$120$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$4$ |
$6$ |
$-0.176793$ |
$46969655/32768$ |
$1.06296$ |
$5.33839$ |
$1$ |
$[1, 1, 1, 22, -9]$ |
\(y^2+xy+y=x^3+x^2+22x-9\) |
3.4.0.a.1, 5.24.0-5.a.1.2, 8.2.0.a.1, 15.192.1-15.a.3.1, 24.8.0.a.1, $\ldots$ |
$[ ]$ |
$1$ |
| 51.a1 |
51a2 |
51.a |
51a |
$2$ |
$3$ |
\( 3 \cdot 17 \) |
\( - 3 \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$102$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6$ |
$-0.259223$ |
$-23100424192/14739$ |
$1.03897$ |
$6.06950$ |
$1$ |
$[0, 1, 1, -59, -196]$ |
\(y^2+y=x^3+x^2-59x-196\) |
3.8.0-3.a.1.1, 102.16.0.? |
$[ ]$ |
$1$ |
| 51.a2 |
51a1 |
51.a |
51a |
$2$ |
$3$ |
\( 3 \cdot 17 \) |
\( - 3^{3} \cdot 17 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$102$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$2$ |
$-0.808530$ |
$32768/459$ |
$1.01165$ |
$3.44409$ |
$1$ |
$[0, 1, 1, 1, -1]$ |
\(y^2+y=x^3+x^2+x-1\) |
3.8.0-3.a.1.2, 102.16.0.? |
$[ ]$ |
$1$ |
| 54.a1 |
54a2 |
54.a |
54a |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \) |
\( - 2^{9} \cdot 3^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.72.0.11 |
3B.1.2 |
$72$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$18$ |
$0.234102$ |
$-1167051/512$ |
$1.04966$ |
$6.67312$ |
$1$ |
$[1, -1, 0, -123, -667]$ |
\(y^2+xy=x^3-x^2-123x-667\) |
3.8.0-3.a.1.1, 9.72.0-9.d.1.1, 24.16.0-24.d.1.7, 72.144.3.? |
$[ ]$ |
$1$ |
