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 |
11.a1 |
11a2 |
11.a |
11a |
$3$ |
$25$ |
\( 11 \) |
\( -11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$5$ |
25.120.0.3 |
5B.1.2 |
$550$ |
$1200$ |
$37$ |
$1$ |
$1$ |
|
$0$ |
$5$ |
$0.496709$ |
$-52893159101157376/11$ |
$1.09296$ |
$16.05869$ |
$[0, -1, 1, -7820, -263580]$ |
\(y^2+y=x^3-x^2-7820x-263580\) |
5.24.0-5.a.2.2, 22.2.0.a.1, 25.120.0-25.a.2.2, 110.48.1.?, 275.600.12.?, $\ldots$ |
$[]$ |
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 |
$1026$ |
$1296$ |
$43$ |
$1$ |
$1$ |
|
$0$ |
$3$ |
$0.033439$ |
$-50357871050752/19$ |
$1.10495$ |
$10.71517$ |
$[0, 1, 1, -769, -8470]$ |
\(y^2+y=x^3+x^2-769x-8470\) |
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.?, $\ldots$ |
$[]$ |
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 |
$936$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$6$ |
$0.054386$ |
$-10730978619193/6656$ |
$1.02193$ |
$9.20911$ |
$[1, 0, 1, -460, -3830]$ |
\(y^2+xy+y=x^3-460x-3830\) |
3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 104.2.0.?, 117.72.0.?, 312.16.0.?, $\ldots$ |
$[]$ |
26.b1 |
26b2 |
26.b |
26b |
$2$ |
$7$ |
\( 2 \cdot 13 \) |
\( - 2 \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.5 |
7B.1.3 |
$728$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$14$ |
$0.289794$ |
$-1064019559329/125497034$ |
$1.06269$ |
$8.55670$ |
$[1, -1, 1, -213, -1257]$ |
\(y^2+xy+y=x^3-x^2-213x-1257\) |
7.48.0-7.a.2.2, 104.2.0.?, 728.96.2.? |
$[]$ |
27.a1 |
27a2 |
27.a |
27a |
$4$ |
$27$ |
\( 3^{3} \) |
\( - 3^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-27$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$3$ |
27.648.13.34 |
3B.1.2 |
|
|
|
$1$ |
$1$ |
|
$0$ |
$3$ |
$0.052148$ |
$-12288000$ |
$1.23864$ |
$8.61966$ |
$[0, 0, 1, -270, -1708]$ |
\(y^2+y=x^3-270x-1708\) |
|
$[]$ |
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 |
$630$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$6$ |
$0.127462$ |
$-250523582464/13671875$ |
$1.02112$ |
$7.40770$ |
$[0, 1, 1, -131, -650]$ |
\(y^2+y=x^3+x^2-131x-650\) |
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.?, $\ldots$ |
$[]$ |
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 |
$1998$ |
$1296$ |
$43$ |
$1$ |
$1$ |
|
$0$ |
$6$ |
$0.222082$ |
$727057727488000/37$ |
$1.08598$ |
$9.47682$ |
$[0, 1, 1, -1873, -31833]$ |
\(y^2+y=x^3+x^2-1873x-31833\) |
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.?, $\ldots$ |
$[]$ |
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 |
$4104$ |
$1296$ |
$43$ |
$1$ |
$1$ |
|
$0$ |
$18$ |
$0.485169$ |
$-69173457625/2550136832$ |
$1.05462$ |
$8.00798$ |
$[1, 0, 1, -86, -2456]$ |
\(y^2+xy+y=x^3-86x-2456\) |
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.?, $\ldots$ |
$[]$ |
38.b1 |
38b2 |
38.b |
38b |
$2$ |
$5$ |
\( 2 \cdot 19 \) |
\( - 2 \cdot 19^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$5$ |
5.24.0.3 |
5B.1.2 |
$760$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$10$ |
$0.017785$ |
$-37966934881/4952198$ |
$0.97714$ |
$6.75262$ |
$[1, 1, 1, -70, -279]$ |
\(y^2+xy+y=x^3+x^2-70x-279\) |
5.24.0-5.a.2.2, 152.2.0.?, 760.48.1.? |
$[]$ |
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 |
$66$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6$ |
$-0.102988$ |
$-199794688/1331$ |
$0.99506$ |
$6.51908$ |
$[0, 1, 0, -77, -289]$ |
\(y^2=x^3+x^2-77x-289\) |
3.8.0-3.a.1.1, 22.2.0.a.1, 66.16.0-66.a.1.1 |
$[]$ |
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 |
$120$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$6$ |
$-0.176793$ |
$-349938025/8$ |
$1.05078$ |
$6.67457$ |
$[1, 0, 1, -126, -552]$ |
\(y^2+xy+y=x^3-126x-552\) |
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, $\ldots$ |
$[]$ |
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 |
$120$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$30$ |
$0.627926$ |
$46969655/32768$ |
$1.06296$ |
$7.80683$ |
$[1, 0, 1, 549, -2202]$ |
\(y^2+xy+y=x^3+549x-2202\) |
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, $\ldots$ |
$[]$ |
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 |
$120$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$30$ |
$0.627926$ |
$-349938025/8$ |
$1.05078$ |
$9.14302$ |
$[1, 1, 1, -3138, -68969]$ |
\(y^2+xy+y=x^3+x^2-3138x-68969\) |
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, $\ldots$ |
$[]$ |
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 |
$120$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$10$ |
$0.078619$ |
$-25/2$ |
$1.09044$ |
$6.19870$ |
$[1, 1, 1, -13, -219]$ |
\(y^2+xy+y=x^3+x^2-13x-219\) |
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, $\ldots$ |
$[]$ |
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 |
$102$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6$ |
$-0.259223$ |
$-23100424192/14739$ |
$1.03897$ |
$6.06950$ |
$[0, 1, 1, -59, -196]$ |
\(y^2+y=x^3+x^2-59x-196\) |
3.8.0-3.a.1.1, 102.16.0.? |
$[]$ |
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 |
$72$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$18$ |
$0.234102$ |
$-1167051/512$ |
$1.04966$ |
$6.67312$ |
$[1, -1, 0, -123, -667]$ |
\(y^2+xy=x^3-x^2-123x-667\) |
3.8.0-3.a.1.1, 9.72.0-9.d.1.1, 24.16.0-24.d.1.7, 72.144.3.? |
$[]$ |
54.b1 |
54b2 |
54.b |
54b |
$3$ |
$9$ |
\( 2 \cdot 3^{3} \) |
\( - 2 \cdot 3^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.72.0.12 |
3B.1.2 |
$72$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$6$ |
$-0.315205$ |
$-132651/2$ |
$1.09453$ |
$5.44216$ |
$[1, -1, 1, -29, -53]$ |
\(y^2+xy+y=x^3-x^2-29x-53\) |
3.8.0-3.a.1.1, 9.72.0-9.d.2.2, 24.16.0-24.d.1.7, 72.144.3.? |
$[]$ |
57.b1 |
57c2 |
57.b |
57c |
$2$ |
$5$ |
\( 3 \cdot 19 \) |
\( - 3^{2} \cdot 19^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$5$ |
5.24.0.3 |
5B.1.2 |
$190$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$60$ |
$0.651407$ |
$-9358714467168256/22284891$ |
$1.06833$ |
$9.09587$ |
$[0, 1, 1, -4390, -113432]$ |
\(y^2+y=x^3+x^2-4390x-113432\) |
5.24.0-5.a.2.2, 38.2.0.a.1, 190.48.1.? |
$[]$ |
58.b1 |
58b2 |
58.b |
58b |
$2$ |
$5$ |
\( 2 \cdot 29 \) |
\( - 2^{2} \cdot 29^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$5$ |
5.24.0.3 |
5B.1.2 |
$580$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$20$ |
$0.347164$ |
$-10418796526321/82044596$ |
$0.99481$ |
$7.38544$ |
$[1, 1, 1, -455, -3951]$ |
\(y^2+xy+y=x^3+x^2-455x-3951\) |
5.24.0-5.a.2.2, 116.2.0.?, 580.48.1.? |
$[]$ |
67.a1 |
67a1 |
67.a |
67a |
$1$ |
$1$ |
\( 67 \) |
\( -67 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$134$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5$ |
$-0.675266$ |
$-207474688/67$ |
$0.87656$ |
$4.55469$ |
$[0, 1, 1, -12, -21]$ |
\(y^2+y=x^3+x^2-12x-21\) |
134.2.0.? |
$[]$ |
75.a1 |
75c2 |
75.a |
75c |
$2$ |
$5$ |
\( 3 \cdot 5^{2} \) |
\( - 3 \cdot 5^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.24.0.3 |
5B.1.2 |
$30$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$30$ |
$0.211621$ |
$-102400/3$ |
$1.04391$ |
$6.41123$ |
$[0, 1, 1, -208, -1256]$ |
\(y^2+y=x^3+x^2-208x-1256\) |
5.24.0-5.a.2.2, 6.2.0.a.1, 30.48.1-30.d.2.4 |
$[]$ |
75.c1 |
75a1 |
75.c |
75a |
$2$ |
$5$ |
\( 3 \cdot 5^{2} \) |
\( - 3 \cdot 5^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.24.0.4 |
5B.1.3 |
$30$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$6$ |
$-0.593099$ |
$-102400/3$ |
$1.04391$ |
$4.17460$ |
$[0, -1, 1, -8, -7]$ |
\(y^2+y=x^3-x^2-8x-7\) |
5.24.0-5.a.2.1, 6.2.0.a.1, 30.48.1-30.d.2.3 |
$[]$ |
75.c2 |
75a2 |
75.c |
75a |
$2$ |
$5$ |
\( 3 \cdot 5^{2} \) |
\( - 3^{5} \cdot 5^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.24.0.2 |
5B.1.4 |
$30$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$30$ |
$0.211621$ |
$20480/243$ |
$1.13104$ |
$5.96951$ |
$[0, -1, 1, 42, 443]$ |
\(y^2+y=x^3-x^2+42x+443\) |
5.24.0-5.a.1.1, 6.2.0.a.1, 30.48.1-30.d.1.3 |
$[]$ |
76.a1 |
76a1 |
76.a |
76a |
$1$ |
$1$ |
\( 2^{2} \cdot 19 \) |
\( - 2^{8} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6$ |
$-0.440931$ |
$-4194304/19$ |
$1.07903$ |
$4.80339$ |
$[0, -1, 0, -21, -31]$ |
\(y^2=x^3-x^2-21x-31\) |
38.2.0.a.1 |
$[]$ |
77.b3 |
77b2 |
77.b |
77b |
$3$ |
$9$ |
\( 7 \cdot 11 \) |
\( - 7^{2} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.24.0.3 |
3B.1.2 |
$1386$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$60$ |
$0.803613$ |
$9463555063808/115539436859$ |
$1.06593$ |
$7.56918$ |
$[0, 1, 1, 441, -15815]$ |
\(y^2+y=x^3+x^2+441x-15815\) |
3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 22.2.0.a.1, 63.72.0-63.e.2.2, 66.16.0-66.a.1.1, $\ldots$ |
$[]$ |
92.b1 |
92a2 |
92.b |
92a |
$2$ |
$3$ |
\( 2^{2} \cdot 23 \) |
\( - 2^{4} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$138$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6$ |
$-0.269963$ |
$-42592000/12167$ |
$0.87185$ |
$4.58690$ |
$[0, 1, 0, -18, -43]$ |
\(y^2=x^3+x^2-18x-43\) |
3.8.0-3.a.1.1, 46.2.0.a.1, 138.16.0.? |
$[]$ |
99.d1 |
99d3 |
99.d |
99d |
$3$ |
$25$ |
\( 3^{2} \cdot 11 \) |
\( - 3^{6} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
25.60.0.2 |
5B.4.2 |
$1650$ |
$1200$ |
$37$ |
$1$ |
$1$ |
|
$0$ |
$150$ |
$1.046015$ |
$-52893159101157376/11$ |
$1.09296$ |
$9.81448$ |
$[0, 0, 1, -70383, 7187035]$ |
\(y^2+y=x^3-70383x+7187035\) |
5.12.0.a.2, 15.24.0-5.a.2.1, 22.2.0.a.1, 25.60.0.a.2, 75.120.0.?, $\ldots$ |
$[]$ |
99.d2 |
99d2 |
99.d |
99d |
$3$ |
$25$ |
\( 3^{2} \cdot 11 \) |
\( - 3^{6} \cdot 11^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.60.0.1 |
5Cs.4.1 |
$1650$ |
$1200$ |
$37$ |
$1$ |
$1$ |
|
$0$ |
$30$ |
$0.241296$ |
$-122023936/161051$ |
$1.01300$ |
$5.74511$ |
$[0, 0, 1, -93, 625]$ |
\(y^2+y=x^3-93x+625\) |
5.60.0.a.1, 15.120.0-5.a.1.1, 22.2.0.a.1, 110.120.5.?, 275.300.12.?, $\ldots$ |
$[]$ |
99.d3 |
99d1 |
99.d |
99d |
$3$ |
$25$ |
\( 3^{2} \cdot 11 \) |
\( - 3^{6} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
25.60.0.1 |
5B.4.1 |
$1650$ |
$1200$ |
$37$ |
$1$ |
$1$ |
|
$0$ |
$6$ |
$-0.563422$ |
$-4096/11$ |
$0.82546$ |
$3.62111$ |
$[0, 0, 1, -3, -5]$ |
\(y^2+y=x^3-3x-5\) |
5.12.0.a.1, 15.24.0-5.a.1.1, 22.2.0.a.1, 25.60.0.a.1, 75.120.0.?, $\ldots$ |
$[]$ |
104.a1 |
104a1 |
104.a |
104a |
$1$ |
$1$ |
\( 2^{3} \cdot 13 \) |
\( - 2^{11} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$104$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8$ |
$-0.393032$ |
$-235298/13$ |
$0.96559$ |
$4.32444$ |
$[0, 1, 0, -16, -32]$ |
\(y^2=x^3+x^2-16x-32\) |
104.2.0.? |
$[]$ |
106.b1 |
106d1 |
106.b |
106d |
$1$ |
$1$ |
\( 2 \cdot 53 \) |
\( - 2^{5} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$424$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10$ |
$-0.446259$ |
$-2305199161/1696$ |
$0.90862$ |
$4.62313$ |
$[1, 1, 0, -27, -67]$ |
\(y^2+xy=x^3+x^2-27x-67\) |
424.2.0.? |
$[]$ |
106.c1 |
106a2 |
106.c |
106a |
$2$ |
$3$ |
\( 2 \cdot 53 \) |
\( - 2 \cdot 53^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$1272$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$18$ |
$-0.263907$ |
$-81182737/297754$ |
$0.92112$ |
$4.33269$ |
$[1, 0, 0, -9, -29]$ |
\(y^2+xy=x^3-9x-29\) |
3.8.0-3.a.1.1, 424.2.0.?, 1272.16.0.? |
$[]$ |
106.d1 |
106c2 |
106.d |
106c |
$2$ |
$3$ |
\( 2 \cdot 53 \) |
\( - 2^{8} \cdot 53^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$636$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$144$ |
$0.977397$ |
$-1646982616152408625/38112512$ |
$1.03018$ |
$8.99454$ |
$[1, 0, 0, -24603, -1487407]$ |
\(y^2+xy=x^3-24603x-1487407\) |
3.8.0-3.a.1.1, 212.2.0.?, 636.16.0.? |
$[]$ |
108.a1 |
108a2 |
108.a |
108a |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{3} \) |
\( - 2^{8} \cdot 3^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$3$ |
27.648.18.4 |
3B.1.2 |
|
|
|
$1$ |
$1$ |
|
$0$ |
$18$ |
$-0.035060$ |
$0$ |
|
$4.88825$ |
$[0, 0, 0, 0, -108]$ |
\(y^2=x^3-108\) |
|
$[]$ |
109.a1 |
109a1 |
109.a |
109a |
$1$ |
$1$ |
\( 109 \) |
\( -109 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$436$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4$ |
$-0.716676$ |
$-60698457/109$ |
$1.03081$ |
$3.82076$ |
$[1, -1, 0, -8, -7]$ |
\(y^2+xy=x^3-x^2-8x-7\) |
436.2.0.? |
$[]$ |
110.a2 |
110c2 |
110.a |
110c |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 11 \) |
\( - 2^{21} \cdot 5^{3} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$1320$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$84$ |
$0.502115$ |
$2882081488391/2883584000$ |
$0.98944$ |
$6.10353$ |
$[1, 0, 1, 296, 1702]$ |
\(y^2+xy+y=x^3+296x+1702\) |
3.8.0-3.a.1.1, 440.2.0.?, 1320.16.0.? |
$[]$ |
110.b1 |
110a2 |
110.b |
110a |
$2$ |
$5$ |
\( 2 \cdot 5 \cdot 11 \) |
\( - 2 \cdot 5 \cdot 11^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$5$ |
5.24.0.3 |
5B.1.2 |
$440$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$100$ |
$0.645076$ |
$-23178622194826561/1610510$ |
$1.01294$ |
$8.01663$ |
$[1, 1, 1, -5940, -178685]$ |
\(y^2+xy+y=x^3+x^2-5940x-178685\) |
5.24.0-5.a.2.2, 440.48.1.? |
$[]$ |
110.c2 |
110b2 |
110.c |
110b |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 11 \) |
\( - 2 \cdot 5^{3} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$1320$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12$ |
$-0.257799$ |
$80062991/332750$ |
$0.92204$ |
$4.25912$ |
$[1, 0, 0, 9, -25]$ |
\(y^2+xy=x^3+9x-25\) |
3.8.0-3.a.1.1, 440.2.0.?, 1320.16.0.? |
$[]$ |
115.a1 |
115a1 |
115.a |
115a |
$1$ |
$1$ |
\( 5 \cdot 23 \) |
\( - 5^{5} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$230$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10$ |
$-0.383482$ |
$37933056/71875$ |
$0.91333$ |
$3.85105$ |
$[0, 0, 1, 7, -11]$ |
\(y^2+y=x^3+7x-11\) |
230.2.0.? |
$[]$ |
116.a1 |
116a1 |
116.a |
116a |
$1$ |
$1$ |
\( 2^{2} \cdot 29 \) |
\( - 2^{8} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$120$ |
$0.500798$ |
$-48707390098512/29$ |
$1.02954$ |
$7.79664$ |
$[0, 0, 0, -4831, -129242]$ |
\(y^2=x^3-4831x-129242\) |
116.2.0.? |
$[]$ |
116.b2 |
116b2 |
116.b |
116b |
$2$ |
$3$ |
\( 2^{2} \cdot 29 \) |
\( - 2^{8} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$348$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24$ |
$-0.010013$ |
$19600688/24389$ |
$0.87422$ |
$4.72824$ |
$[0, 1, 0, 36, -76]$ |
\(y^2=x^3+x^2+36x-76\) |
3.8.0-3.a.1.1, 116.2.0.?, 348.16.0.? |
$[]$ |
118.b1 |
118d1 |
118.b |
118d |
$1$ |
$1$ |
\( 2 \cdot 59 \) |
\( - 2^{19} \cdot 59 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$472$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$38$ |
$0.122372$ |
$18884848247/30932992$ |
$0.95413$ |
$5.08652$ |
$[1, 1, 0, 56, -192]$ |
\(y^2+xy=x^3+x^2+56x-192\) |
472.2.0.? |
$[]$ |
118.c2 |
118b2 |
118.c |
118b |
$2$ |
$5$ |
\( 2 \cdot 59 \) |
\( - 2^{2} \cdot 59^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$5$ |
5.24.0.3 |
5B.1.2 |
$590$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$60$ |
$0.495013$ |
$168105213359/2859697196$ |
$1.00503$ |
$6.11948$ |
$[1, 1, 1, 115, -2481]$ |
\(y^2+xy+y=x^3+x^2+115x-2481\) |
5.24.0-5.a.2.2, 118.2.0.?, 590.48.1.? |
$[]$ |
118.d1 |
118c1 |
118.d |
118c |
$1$ |
$1$ |
\( 2 \cdot 59 \) |
\( - 2 \cdot 59 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$472$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6$ |
$-0.802577$ |
$-7189057/118$ |
$0.83067$ |
$3.31526$ |
$[1, 1, 1, -4, -5]$ |
\(y^2+xy+y=x^3+x^2-4x-5\) |
472.2.0.? |
$[]$ |
121.a1 |
121a2 |
121.a |
121a |
$2$ |
$11$ |
\( 11^{2} \) |
\( - 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 11$ |
4.2.0.1, 11.120.1.4 |
11B.1.4 |
$88$ |
$480$ |
$16$ |
$1$ |
$1$ |
|
$0$ |
$66$ |
$0.680986$ |
$-121$ |
$0.94611$ |
$6.56854$ |
$[1, 1, 1, -305, 7888]$ |
\(y^2+xy+y=x^3+x^2-305x+7888\) |
4.2.0.a.1, 11.120.1-11.b.1.2, 44.240.6-44.b.1.6, 88.480.16.? |
$[]$ |
121.a2 |
121a1 |
121.a |
121a |
$2$ |
$11$ |
\( 11^{2} \) |
\( - 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 11$ |
4.2.0.1, 11.120.1.8 |
11B.1.6 |
$88$ |
$480$ |
$16$ |
$1$ |
$1$ |
|
$0$ |
$6$ |
$-0.517961$ |
$-24729001$ |
$0.96853$ |
$4.54969$ |
$[1, 1, 1, -30, -76]$ |
\(y^2+xy+y=x^3+x^2-30x-76\) |
4.2.0.a.1, 11.120.1-11.b.2.1, 44.240.6-44.b.2.6, 88.480.16.? |
$[]$ |
121.c1 |
121c2 |
121.c |
121c |
$2$ |
$11$ |
\( 11^{2} \) |
\( - 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 11$ |
8.4.0.2, 11.120.1.3 |
11B.1.5 |
$88$ |
$480$ |
$16$ |
$1$ |
$1$ |
|
$0$ |
$66$ |
$0.680986$ |
$-24729001$ |
$0.96853$ |
$7.54969$ |
$[1, 1, 0, -3632, 82757]$ |
\(y^2+xy=x^3+x^2-3632x+82757\) |
4.2.0.a.1, 8.4.0-4.a.1.1, 11.120.1-11.b.2.2, 44.240.6-44.b.2.5, 88.480.16.? |
$[]$ |
121.c2 |
121c1 |
121.c |
121c |
$2$ |
$11$ |
\( 11^{2} \) |
\( - 11^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 11$ |
8.4.0.2, 11.120.1.9 |
11B.1.7 |
$88$ |
$480$ |
$16$ |
$1$ |
$1$ |
|
$0$ |
$6$ |
$-0.517961$ |
$-121$ |
$0.94611$ |
$3.56854$ |
$[1, 1, 0, -2, -7]$ |
\(y^2+xy=x^3+x^2-2x-7\) |
4.2.0.a.1, 8.4.0-4.a.1.1, 11.120.1-11.b.1.1, 44.240.6-44.b.1.5, 88.480.16.? |
$[]$ |
121.d1 |
121d3 |
121.d |
121d |
$3$ |
$25$ |
\( 11^{2} \) |
\( - 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
25.60.0.2 |
5B.4.2 |
$550$ |
$1200$ |
$37$ |
$1$ |
$1$ |
|
$0$ |
$600$ |
$1.695656$ |
$-52893159101157376/11$ |
$1.09296$ |
$11.02934$ |
$[0, -1, 1, -946260, 354609639]$ |
\(y^2+y=x^3-x^2-946260x+354609639\) |
5.12.0.a.2, 10.24.0-5.a.2.2, 22.2.0.a.1, 25.60.0.a.2, 50.120.0-25.a.2.2, $\ldots$ |
$[]$ |
121.d2 |
121d2 |
121.d |
121d |
$3$ |
$25$ |
\( 11^{2} \) |
\( - 11^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.60.0.1 |
5Cs.4.1 |
$550$ |
$1200$ |
$37$ |
$1$ |
$1$ |
|
$0$ |
$120$ |
$0.890938$ |
$-122023936/161051$ |
$1.01300$ |
$7.13024$ |
$[0, -1, 1, -1250, 31239]$ |
\(y^2+y=x^3-x^2-1250x+31239\) |
5.60.0.a.1, 10.120.0-5.a.1.1, 22.2.0.a.1, 55.120.0-5.a.1.1, 110.240.5.?, $\ldots$ |
$[]$ |
121.d3 |
121d1 |
121.d |
121d |
$3$ |
$25$ |
\( 11^{2} \) |
\( - 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
25.60.0.1 |
5B.4.1 |
$550$ |
$1200$ |
$37$ |
$1$ |
$1$ |
|
$0$ |
$24$ |
$0.086219$ |
$-4096/11$ |
$0.82546$ |
$5.09512$ |
$[0, -1, 1, -40, -221]$ |
\(y^2+y=x^3-x^2-40x-221\) |
5.12.0.a.1, 10.24.0-5.a.1.1, 22.2.0.a.1, 25.60.0.a.1, 50.120.0-25.a.1.1, $\ldots$ |
$[]$ |
124.b1 |
124b1 |
124.b |
124b |
$1$ |
$1$ |
\( 2^{2} \cdot 31 \) |
\( - 2^{4} \cdot 31 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$62$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6$ |
$-0.558989$ |
$-33958656/31$ |
$1.22690$ |
$4.17296$ |
$[0, 0, 0, -17, -27]$ |
\(y^2=x^3-17x-27\) |
62.2.0.a.1 |
$[]$ |
135.b1 |
135b1 |
135.b |
135b |
$1$ |
$1$ |
\( 3^{3} \cdot 5 \) |
\( - 3^{11} \cdot 5^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$36$ |
$-0.035421$ |
$-12288/25$ |
$0.90890$ |
$4.69059$ |
$[0, 0, 1, -27, -115]$ |
\(y^2+y=x^3-27x-115\) |
6.2.0.a.1 |
$[]$ |
139.a1 |
139a1 |
139.a |
139a |
$1$ |
$1$ |
\( 139 \) |
\( -139 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$278$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6$ |
$-0.809322$ |
$-4826809/139$ |
$0.90758$ |
$3.12865$ |
$[1, 1, 0, -3, -4]$ |
\(y^2+xy=x^3+x^2-3x-4\) |
278.2.0.? |
$[]$ |
140.a1 |
140a2 |
140.a |
140a |
$2$ |
$3$ |
\( 2^{2} \cdot 5 \cdot 7 \) |
\( - 2^{8} \cdot 5 \cdot 7^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$210$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$36$ |
$0.257547$ |
$-225637236736/1715$ |
$1.02937$ |
$6.41232$ |
$[0, 1, 0, -805, -9065]$ |
\(y^2=x^3+x^2-805x-9065\) |
3.8.0-3.a.1.1, 70.2.0.a.1, 210.16.0.? |
$[]$ |
140.b1 |
140b1 |
140.b |
140b |
$1$ |
$1$ |
\( 2^{2} \cdot 5 \cdot 7 \) |
\( - 2^{8} \cdot 5 \cdot 7^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$60$ |
$0.088933$ |
$14155776/84035$ |
$1.21697$ |
$4.90451$ |
$[0, 0, 0, 32, 212]$ |
\(y^2=x^3+32x+212\) |
70.2.0.a.1 |
$[]$ |
141.e1 |
141e1 |
141.e |
141e |
$1$ |
$1$ |
\( 3 \cdot 47 \) |
\( 3 \cdot 47 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$282$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12$ |
$-0.534426$ |
$2019487744/141$ |
$0.92611$ |
$4.32959$ |
$[0, 1, 1, -26, -61]$ |
\(y^2+y=x^3+x^2-26x-61\) |
282.2.0.? |
$[]$ |
142.c1 |
142e1 |
142.c |
142e |
$1$ |
$1$ |
\( 2 \cdot 71 \) |
\( 2^{27} \cdot 71 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$568$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$324$ |
$0.764042$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$7.10950$ |
$[1, -1, 0, -2626, 52244]$ |
\(y^2+xy=x^3-x^2-2626x+52244\) |
568.2.0.? |
$[]$ |
142.e1 |
142d2 |
142.e |
142d |
$2$ |
$3$ |
\( 2 \cdot 71 \) |
\( 2 \cdot 71^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$1704$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12$ |
$-0.103537$ |
$21601086625/715822$ |
$0.92037$ |
$4.80162$ |
$[1, 0, 0, -58, -170]$ |
\(y^2+xy=x^3-58x-170\) |
3.8.0-3.a.1.1, 568.2.0.?, 1704.16.0.? |
$[]$ |
147.b1 |
147c2 |
147.b |
147c |
$2$ |
$13$ |
\( 3 \cdot 7^{2} \) |
\( - 3^{13} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$13$ |
13.28.0.2 |
13B.4.2 |
$546$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$78$ |
$0.437387$ |
$-1713910976512/1594323$ |
$1.10592$ |
$6.42494$ |
$[0, -1, 1, -912, 10919]$ |
\(y^2+y=x^3-x^2-912x+10919\) |
6.2.0.a.1, 13.28.0.a.2, 78.56.1.?, 91.168.2.?, 546.336.9.? |
$[]$ |
147.b2 |
147c1 |
147.b |
147c |
$2$ |
$13$ |
\( 3 \cdot 7^{2} \) |
\( - 3 \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$13$ |
13.28.0.1 |
13B.4.1 |
$546$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$6$ |
$-0.845087$ |
$-28672/3$ |
$0.91239$ |
$2.86983$ |
$[0, -1, 1, -2, -1]$ |
\(y^2+y=x^3-x^2-2x-1\) |
6.2.0.a.1, 13.28.0.a.1, 78.56.1.?, 91.168.2.?, 546.336.9.? |
$[]$ |
147.c1 |
147b2 |
147.c |
147b |
$2$ |
$13$ |
\( 3 \cdot 7^{2} \) |
\( - 3^{13} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$13$ |
13.56.0.3 |
13B.3.2 |
$546$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$546$ |
$1.410343$ |
$-1713910976512/1594323$ |
$1.10592$ |
$8.76451$ |
$[0, 1, 1, -44704, -3655907]$ |
\(y^2+y=x^3+x^2-44704x-3655907\) |
6.2.0.a.1, 13.56.0-13.a.2.2, 78.112.1.?, 91.168.2.?, 546.336.9.? |
$[]$ |
147.c2 |
147b1 |
147.c |
147b |
$2$ |
$13$ |
\( 3 \cdot 7^{2} \) |
\( - 3 \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$13$ |
13.56.0.1 |
13B.3.1 |
$546$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$42$ |
$0.127867$ |
$-28672/3$ |
$0.91239$ |
$5.20940$ |
$[0, 1, 1, -114, 473]$ |
\(y^2+y=x^3+x^2-114x+473\) |
6.2.0.a.1, 13.56.0-13.a.1.1, 78.112.1.?, 91.168.2.?, 546.336.9.? |
$[]$ |
152.b1 |
152b1 |
152.b |
152b |
$1$ |
$1$ |
\( 2^{3} \cdot 19 \) |
\( - 2^{11} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8$ |
$-0.417178$ |
$-31250/19$ |
$0.89957$ |
$3.72074$ |
$[0, 1, 0, -8, -16]$ |
\(y^2=x^3+x^2-8x-16\) |
152.2.0.? |
$[]$ |
153.d1 |
153d1 |
153.d |
153d |
$1$ |
$1$ |
\( 3^{2} \cdot 17 \) |
\( - 3^{9} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24$ |
$-0.210922$ |
$-110592/17$ |
$0.95016$ |
$4.32103$ |
$[0, 0, 1, -27, -61]$ |
\(y^2+y=x^3-27x-61\) |
102.2.0.? |
$[]$ |
158.b1 |
158d2 |
158.b |
158d |
$3$ |
$9$ |
\( 2 \cdot 79 \) |
\( 2^{18} \cdot 79 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.24.0.3 |
3B.1.2 |
$2844$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$120$ |
$0.679858$ |
$15698803397448457/20709376$ |
$1.00146$ |
$7.36625$ |
$[1, 0, 1, -5217, -145452]$ |
\(y^2+xy+y=x^3-5217x-145452\) |
3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 316.2.0.?, 711.72.0.?, 948.16.0.?, $\ldots$ |
$[]$ |
158.d1 |
158c2 |
158.d |
158c |
$2$ |
$5$ |
\( 2 \cdot 79 \) |
\( 2^{4} \cdot 79^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$5$ |
5.24.0.3 |
5B.1.2 |
$1580$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$240$ |
$1.142109$ |
$1413378216646643521/49232902384$ |
$1.01962$ |
$8.25516$ |
$[1, 1, 1, -23380, -1385691]$ |
\(y^2+xy+y=x^3+x^2-23380x-1385691\) |
5.24.0-5.a.2.2, 316.2.0.?, 1580.48.1.? |
$[]$ |
162.b2 |
162c4 |
162.b |
162c |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \) |
\( - 2^{21} \cdot 3^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.8.0.2, 7.8.0.1 |
3B.1.2, 7B |
$504$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$126$ |
$0.818674$ |
$-1159088625/2097152$ |
$1.11235$ |
$6.54031$ |
$[1, -1, 0, -852, 19664]$ |
\(y^2+xy=x^3-x^2-852x+19664\) |
3.8.0-3.a.1.1, 7.8.0.a.1, 8.2.0.a.1, 21.128.1-21.a.1.3, 24.16.0-24.a.1.6, $\ldots$ |
$[]$ |
162.b3 |
162c2 |
162.b |
162c |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \) |
\( - 2^{3} \cdot 3^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.8.0.2, 7.8.0.1 |
3B.1.2, 7B |
$504$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$18$ |
$-0.154281$ |
$-140625/8$ |
$1.17810$ |
$4.50778$ |
$[1, -1, 0, -42, -100]$ |
\(y^2+xy=x^3-x^2-42x-100\) |
3.8.0-3.a.1.1, 7.8.0.a.1, 8.2.0.a.1, 21.128.1-21.a.3.2, 24.16.0-24.a.1.6, $\ldots$ |
$[]$ |
162.c1 |
162b4 |
162.c |
162b |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \) |
\( - 2^{7} \cdot 3^{12} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.8.0.2, 7.16.0.2 |
3B.1.2, 7B.2.3 |
$504$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$126$ |
$0.818674$ |
$-189613868625/128$ |
$1.12596$ |
$7.69550$ |
$[1, -1, 1, -9695, -364985]$ |
\(y^2+xy+y=x^3-x^2-9695x-364985\) |
3.8.0-3.a.1.1, 7.16.0-7.a.1.1, 8.2.0.a.1, 21.128.1-21.a.4.3, 24.16.0-24.a.1.6, $\ldots$ |
$[]$ |
162.c4 |
162b2 |
162.c |
162b |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \) |
\( - 2 \cdot 3^{12} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.8.0.2, 7.16.0.1 |
3B.1.2, 7B.2.1 |
$504$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$18$ |
$-0.154281$ |
$3375/2$ |
$1.42657$ |
$4.18813$ |
$[1, -1, 1, 25, 1]$ |
\(y^2+xy+y=x^3-x^2+25x+1\) |
3.8.0-3.a.1.1, 7.16.0-7.a.1.2, 8.2.0.a.1, 21.128.1-21.a.2.3, 24.16.0-24.a.1.6, $\ldots$ |
$[]$ |
162.d1 |
162d2 |
162.d |
162d |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \) |
\( - 2^{2} \cdot 3^{12} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.16.0.2, 3.8.0.2 |
3B.1.2 |
$12$ |
$128$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$36$ |
$-0.048500$ |
$-35937/4$ |
$1.00607$ |
$4.68763$ |
$[1, -1, 1, -56, -161]$ |
\(y^2+xy+y=x^3-x^2-56x-161\) |
3.8.0-3.a.1.1, 4.16.0-4.b.1.1, 12.128.1-12.b.2.4 |
$[]$ |
170.c2 |
170d2 |
170.c |
170d |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 17 \) |
\( - 2^{9} \cdot 5 \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$2040$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$36$ |
$0.043405$ |
$1256216039/12577280$ |
$0.94869$ |
$4.62296$ |
$[1, 0, 1, 22, -164]$ |
\(y^2+xy+y=x^3+22x-164\) |
3.8.0-3.a.1.1, 680.2.0.?, 2040.16.0.? |
$[]$ |
170.d1 |
170e1 |
170.d |
170e |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 17 \) |
\( - 2 \cdot 5 \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$680$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$20$ |
$-0.669967$ |
$-116930169/170$ |
$0.88233$ |
$3.61766$ |
$[1, -1, 0, -10, -10]$ |
\(y^2+xy=x^3-x^2-10x-10\) |
680.2.0.? |
$[]$ |
170.e1 |
170c2 |
170.e |
170c |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 17 \) |
\( - 2^{7} \cdot 5^{9} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$2040$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$252$ |
$1.089773$ |
$-32391289681150609/1228250000000$ |
$1.00352$ |
$7.41465$ |
$[1, 0, 0, -6641, -215575]$ |
\(y^2+xy=x^3-6641x-215575\) |
3.8.0-3.a.1.1, 680.2.0.?, 2040.16.0.? |
$[]$ |
171.c1 |
171c2 |
171.c |
171c |
$2$ |
$5$ |
\( 3^{2} \cdot 19 \) |
\( - 3^{8} \cdot 19^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$570$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$480$ |
$1.200714$ |
$-9358714467168256/22284891$ |
$1.06833$ |
$8.43438$ |
$[0, 0, 1, -39513, 3023145]$ |
\(y^2+y=x^3-39513x+3023145\) |
5.12.0.a.2, 15.24.0-5.a.2.1, 38.2.0.a.1, 190.24.1.?, 570.48.1.? |
$[]$ |
171.c2 |
171c1 |
171.c |
171c |
$2$ |
$5$ |
\( 3^{2} \cdot 19 \) |
\( - 3^{16} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$570$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$96$ |
$0.395995$ |
$841232384/1121931$ |
$1.00490$ |
$5.33056$ |
$[0, 0, 1, 177, 1035]$ |
\(y^2+y=x^3+177x+1035\) |
5.12.0.a.1, 15.24.0-5.a.1.1, 38.2.0.a.1, 190.24.1.?, 570.48.1.? |
$[]$ |
171.d1 |
171d1 |
171.d |
171d |
$1$ |
$1$ |
\( 3^{2} \cdot 19 \) |
\( - 3^{8} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$32$ |
$-0.287242$ |
$-1404928/171$ |
$0.86512$ |
$4.07223$ |
$[0, 0, 1, -21, -41]$ |
\(y^2+y=x^3-21x-41\) |
38.2.0.a.1 |
$[]$ |
174.a1 |
174e1 |
174.a |
174e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 29 \) |
\( - 2^{13} \cdot 3 \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$696$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$52$ |
$-0.104838$ |
$-19968681097/712704$ |
$0.95286$ |
$4.60884$ |
$[1, 1, 0, -56, -192]$ |
\(y^2+xy=x^3+x^2-56x-192\) |
696.2.0.? |
$[]$ |
174.b2 |
174a2 |
174.b |
174a |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 29 \) |
\( - 2^{33} \cdot 3^{7} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$696$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4620$ |
$2.069664$ |
$36079072622241241607/458176313589497856$ |
$1.08854$ |
$9.31839$ |
$[1, 0, 1, 68840, -31810330]$ |
\(y^2+xy+y=x^3+68840x-31810330\) |
3.8.0-3.a.1.1, 696.16.0.? |
$[]$ |
174.d1 |
174c1 |
174.d |
174c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 29 \) |
\( - 2 \cdot 3^{3} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$696$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12$ |
$-0.649752$ |
$-13997521/1566$ |
$0.87720$ |
$3.22368$ |
$[1, 1, 1, -5, -7]$ |
\(y^2+xy+y=x^3+x^2-5x-7\) |
696.2.0.? |
$[]$ |
174.e1 |
174b2 |
174.e |
174b |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 29 \) |
\( - 2 \cdot 3 \cdot 29^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.5 |
7B.1.3 |
$4872$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$196$ |
$0.977647$ |
$-30526075007211889/103499257854$ |
$1.03180$ |
$7.35856$ |
$[1, 0, 0, -6511, -203353]$ |
\(y^2+xy=x^3-6511x-203353\) |
7.48.0-7.a.2.2, 696.2.0.?, 4872.96.2.? |
$[]$ |
175.c1 |
175c2 |
175.c |
175c |
$2$ |
$5$ |
\( 5^{2} \cdot 7 \) |
\( - 5^{9} \cdot 7^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.24.0.2 |
5B.1.4 |
$70$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$200$ |
$0.858912$ |
$-2887553024/16807$ |
$0.98803$ |
$7.02423$ |
$[0, 1, 1, -3708, 86119]$ |
\(y^2+y=x^3+x^2-3708x+86119\) |
5.24.0-5.a.1.1, 70.48.1-70.d.1.2 |
$[]$ |
175.c2 |
175c1 |
175.c |
175c |
$2$ |
$5$ |
\( 5^{2} \cdot 7 \) |
\( - 5^{9} \cdot 7 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.24.0.4 |
5B.1.3 |
$70$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$40$ |
$0.054193$ |
$4096/7$ |
$0.98030$ |
$4.54465$ |
$[0, 1, 1, 42, -131]$ |
\(y^2+y=x^3+x^2+42x-131\) |
5.24.0-5.a.2.1, 70.48.1-70.d.2.3 |
$[]$ |
176.b1 |
176b3 |
176.b |
176b |
$3$ |
$25$ |
\( 2^{4} \cdot 11 \) |
\( - 2^{12} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
25.60.0.2 |
5B.4.2 |
$1100$ |
$1200$ |
$37$ |
$1$ |
$1$ |
|
$0$ |
$200$ |
$1.189856$ |
$-52893159101157376/11$ |
$1.09296$ |
$9.05618$ |
$[0, 1, 0, -125125, 16994227]$ |
\(y^2=x^3+x^2-125125x+16994227\) |
5.12.0.a.2, 20.24.0-5.a.2.2, 22.2.0.a.1, 25.60.0.a.2, 100.120.0.?, $\ldots$ |
$[]$ |
176.b2 |
176b2 |
176.b |
176b |
$3$ |
$25$ |
\( 2^{4} \cdot 11 \) |
\( - 2^{12} \cdot 11^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.60.0.1 |
5Cs.4.1 |
$1100$ |
$1200$ |
$37$ |
$1$ |
$1$ |
|
$0$ |
$40$ |
$0.385138$ |
$-122023936/161051$ |
$1.01300$ |
$5.43963$ |
$[0, 1, 0, -165, 1427]$ |
\(y^2=x^3+x^2-165x+1427\) |
5.60.0.a.1, 20.120.0-5.a.1.2, 22.2.0.a.1, 110.120.5.?, 220.240.5.?, $\ldots$ |
$[]$ |
176.b3 |
176b1 |
176.b |
176b |
$3$ |
$25$ |
\( 2^{4} \cdot 11 \) |
\( - 2^{12} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
25.60.0.1 |
5B.4.1 |
$1100$ |
$1200$ |
$37$ |
$1$ |
$1$ |
|
$0$ |
$8$ |
$-0.419581$ |
$-4096/11$ |
$0.82546$ |
$3.55199$ |
$[0, 1, 0, -5, -13]$ |
\(y^2=x^3+x^2-5x-13\) |
5.12.0.a.1, 20.24.0-5.a.1.2, 22.2.0.a.1, 25.60.0.a.1, 100.120.0.?, $\ldots$ |
$[]$ |
176.c1 |
176a1 |
176.c |
176a |
$1$ |
$1$ |
\( 2^{4} \cdot 11 \) |
\( - 2^{8} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16$ |
$-0.629211$ |
$-27648/11$ |
$0.78666$ |
$3.15168$ |
$[0, 0, 0, -4, -4]$ |
\(y^2=x^3-4x-4\) |
22.2.0.a.1 |
$[]$ |
178.b1 |
178a2 |
178.b |
178a |
$2$ |
$3$ |
\( 2 \cdot 89 \) |
\( - 2^{4} \cdot 89^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$1068$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$96$ |
$0.297120$ |
$-18806241149857/11279504$ |
$0.96266$ |
$5.89879$ |
$[1, 0, 0, -554, -5068]$ |
\(y^2+xy=x^3-554x-5068\) |
3.8.0-3.a.1.1, 356.2.0.?, 1068.16.0.? |
$[]$ |
179.a1 |
179a1 |
179.a |
179a |
$1$ |
$1$ |
\( 179 \) |
\( -179 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$358$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9$ |
$-0.876664$ |
$-110592/179$ |
$0.78707$ |
$2.49601$ |
$[0, 0, 1, -1, -1]$ |
\(y^2+y=x^3-x-1\) |
358.2.0.? |
$[]$ |
182.a1 |
182c1 |
182.a |
182c |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 13 \) |
\( - 2^{11} \cdot 7^{7} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$728$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$308$ |
$0.871167$ |
$-10824513276632329/21926008832$ |
$0.99602$ |
$7.09532$ |
$[1, 0, 1, -4609, 120244]$ |
\(y^2+xy+y=x^3-4609x+120244\) |
728.2.0.? |
$[]$ |
182.b1 |
182e1 |
182.b |
182e |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 13 \) |
\( - 2^{7} \cdot 7 \cdot 13^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$728$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$140$ |
$0.314436$ |
$-1207949625/332678528$ |
$1.06089$ |
$5.20359$ |
$[1, -1, 0, -22, 884]$ |
\(y^2+xy=x^3-x^2-22x+884\) |
728.2.0.? |
$[]$ |
182.d1 |
182b3 |
182.d |
182b |
$3$ |
$9$ |
\( 2 \cdot 7 \cdot 13 \) |
\( - 2 \cdot 7 \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.24.0.3 |
3B.1.2 |
$6552$ |
$144$ |
$3$ |
$1$ |
$9$ |
$3$ |
$0$ |
$108$ |
$0.680457$ |
$-424962187484640625/182$ |
$1.05379$ |
$7.79991$ |
$[1, 0, 0, -15663, -755809]$ |
\(y^2+xy=x^3-15663x-755809\) |
3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 728.2.0.?, 819.72.0.?, 2184.16.0.?, $\ldots$ |
$[]$ |
182.e1 |
182d1 |
182.e |
182d |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 13 \) |
\( - 2 \cdot 7^{3} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$728$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$36$ |
$-0.557857$ |
$4019679/8918$ |
$1.11550$ |
$3.12227$ |
$[1, -1, 1, 3, -5]$ |
\(y^2+xy+y=x^3-x^2+3x-5\) |
728.2.0.? |
$[]$ |
184.d1 |
184d1 |
184.d |
184d |
$1$ |
$1$ |
\( 2^{3} \cdot 23 \) |
\( - 2^{4} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24$ |
$-0.386863$ |
$-1149984000/23$ |
$0.95837$ |
$4.53230$ |
$[0, 0, 0, -55, -157]$ |
\(y^2=x^3-55x-157\) |
46.2.0.a.1 |
$[]$ |
186.a1 |
186a1 |
186.a |
186a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 31 \) |
\( - 2 \cdot 3^{11} \cdot 31 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$744$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$44$ |
$0.077491$ |
$-64432972729/10983114$ |
$0.96365$ |
$4.81215$ |
$[1, 1, 0, -83, -369]$ |
\(y^2+xy=x^3+x^2-83x-369\) |
744.2.0.? |
$[]$ |
186.b1 |
186c1 |
186.b |
186c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 31 \) |
\( - 2^{7} \cdot 3 \cdot 31 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$744$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$28$ |
$-0.431837$ |
$-498677257/11904$ |
$0.91486$ |
$3.84020$ |
$[1, 0, 1, -17, -28]$ |
\(y^2+xy+y=x^3-17x-28\) |
744.2.0.? |
$[]$ |
186.c1 |
186b2 |
186.c |
186b |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 31 \) |
\( - 2 \cdot 3 \cdot 31^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$5$ |
5.24.0.3 |
5B.1.2 |
$3720$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$100$ |
$0.526340$ |
$-300238092661681/171774906$ |
$1.01002$ |
$6.37930$ |
$[1, 0, 0, -1395, -20181]$ |
\(y^2+xy=x^3-1395x-20181\) |
5.24.0-5.a.2.2, 744.2.0.?, 3720.48.1.? |
$[]$ |
187.a1 |
187a2 |
187.a |
187a |
$2$ |
$3$ |
\( 11 \cdot 17 \) |
\( - 11 \cdot 17^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$66$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$48$ |
$0.304448$ |
$-108394872832/265513259$ |
$0.97554$ |
$5.17366$ |
$[0, 1, 1, -99, -905]$ |
\(y^2+y=x^3+x^2-99x-905\) |
3.8.0-3.a.1.1, 22.2.0.a.1, 66.16.0-66.a.1.1 |
$[]$ |
187.b1 |
187b1 |
187.b |
187b |
$1$ |
$1$ |
\( 11 \cdot 17 \) |
\( - 11^{3} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$374$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$30$ |
$-0.475114$ |
$37933056/22627$ |
$0.94788$ |
$3.33607$ |
$[0, 0, 1, 7, 1]$ |
\(y^2+y=x^3+7x+1\) |
374.2.0.? |
$[]$ |