| 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 |
| 7488.a1 |
7488bl2 |
7488.a |
7488bl |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( 2^{14} \cdot 3^{3} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.33 |
2B |
$312$ |
$48$ |
$1$ |
$0.734032953$ |
$1$ |
|
$7$ |
$12288$ |
$0.840461$ |
$315978926832/169$ |
$1.06481$ |
$4.42535$ |
$[0, 0, 0, -10812, 432720]$ |
\(y^2=x^3-10812x+432720\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.u.1, 12.12.0.m.1, 24.24.0.dc.1, $\ldots$ |
$[(61, 13)]$ |
| 7488.a2 |
7488bl1 |
7488.a |
7488bl |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3^{3} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.5 |
2B |
$312$ |
$48$ |
$1$ |
$0.367016476$ |
$1$ |
|
$9$ |
$6144$ |
$0.493887$ |
$-1213857792/28561$ |
$1.24370$ |
$3.49558$ |
$[0, 0, 0, -672, 6840]$ |
\(y^2=x^3-672x+6840\) |
2.3.0.a.1, 4.12.0.e.1, 6.6.0.a.1, 12.24.0.k.1, 104.24.0.?, $\ldots$ |
$[(9, 39)]$ |
| 7488.b1 |
7488bf2 |
7488.b |
7488bf |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( 2^{14} \cdot 3^{12} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.723617667$ |
$1$ |
|
$5$ |
$12288$ |
$0.857412$ |
$94875856/9477$ |
$0.90366$ |
$3.88562$ |
$[0, 0, 0, -2172, -35440]$ |
\(y^2=x^3-2172x-35440\) |
2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? |
$[(-32, 36)]$ |
| 7488.b2 |
7488bf1 |
7488.b |
7488bf |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3^{9} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$0.861808833$ |
$1$ |
|
$7$ |
$6144$ |
$0.510839$ |
$702464/4563$ |
$0.96739$ |
$3.28552$ |
$[0, 0, 0, 168, -2680]$ |
\(y^2=x^3+168x-2680\) |
2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[(22, 108)]$ |
| 7488.c1 |
7488u2 |
7488.c |
7488u |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( 2^{14} \cdot 3^{7} \cdot 13^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$0.429830057$ |
$1$ |
|
$29$ |
$6144$ |
$0.603354$ |
$3631696/507$ |
$0.85077$ |
$3.51987$ |
$[0, 0, 0, -732, 6640]$ |
\(y^2=x^3-732x+6640\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[(26, 72), (2, 72)]$ |
| 7488.c2 |
7488u1 |
7488.c |
7488u |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{8} \cdot 13 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.719320230$ |
$1$ |
|
$15$ |
$3072$ |
$0.256780$ |
$1048576/117$ |
$1.06619$ |
$3.06983$ |
$[0, 0, 0, -192, -920]$ |
\(y^2=x^3-192x-920\) |
2.3.0.a.1, 12.6.0.b.1, 26.6.0.b.1, 156.12.0.? |
$[(-7, 9), (-6, 4)]$ |
| 7488.d1 |
7488bw2 |
7488.d |
7488bw |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( 2^{14} \cdot 3^{7} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.878026250$ |
$1$ |
|
$5$ |
$6144$ |
$0.603354$ |
$3631696/507$ |
$0.85077$ |
$3.51987$ |
$[0, 0, 0, -732, -6640]$ |
\(y^2=x^3-732x-6640\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[(-11, 9)]$ |
| 7488.d2 |
7488bw1 |
7488.d |
7488bw |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{8} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$0.939013125$ |
$1$ |
|
$7$ |
$3072$ |
$0.256780$ |
$1048576/117$ |
$1.06619$ |
$3.06983$ |
$[0, 0, 0, -192, 920]$ |
\(y^2=x^3-192x+920\) |
2.3.0.a.1, 12.6.0.b.1, 26.6.0.b.1, 156.12.0.? |
$[(1, 27)]$ |
| 7488.e1 |
7488cd2 |
7488.e |
7488cd |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( 2^{14} \cdot 3^{12} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$12288$ |
$0.857412$ |
$94875856/9477$ |
$0.90366$ |
$3.88562$ |
$[0, 0, 0, -2172, 35440]$ |
\(y^2=x^3-2172x+35440\) |
2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? |
$[]$ |
| 7488.e2 |
7488cd1 |
7488.e |
7488cd |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3^{9} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6144$ |
$0.510839$ |
$702464/4563$ |
$0.96739$ |
$3.28552$ |
$[0, 0, 0, 168, 2680]$ |
\(y^2=x^3+168x+2680\) |
2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[]$ |
| 7488.f1 |
7488j2 |
7488.f |
7488j |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( 2^{14} \cdot 3^{3} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.33 |
2B |
$312$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$12288$ |
$0.840461$ |
$315978926832/169$ |
$1.06481$ |
$4.42535$ |
$[0, 0, 0, -10812, -432720]$ |
\(y^2=x^3-10812x-432720\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.u.1, 12.12.0.m.1, 24.24.0.dc.1, $\ldots$ |
$[]$ |
| 7488.f2 |
7488j1 |
7488.f |
7488j |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3^{3} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.5 |
2B |
$312$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$6144$ |
$0.493887$ |
$-1213857792/28561$ |
$1.24370$ |
$3.49558$ |
$[0, 0, 0, -672, -6840]$ |
\(y^2=x^3-672x-6840\) |
2.3.0.a.1, 4.12.0.e.1, 6.6.0.a.1, 12.24.0.k.1, 104.24.0.?, $\ldots$ |
$[]$ |
| 7488.g1 |
7488t3 |
7488.g |
7488t |
$3$ |
$9$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( - 2^{27} \cdot 3^{6} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$936$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$34560$ |
$1.643414$ |
$-10730978619193/6656$ |
$1.02193$ |
$5.50075$ |
$[0, 0, 0, -264684, 52413104]$ |
\(y^2=x^3-264684x+52413104\) |
3.4.0.a.1, 9.12.0.a.1, 24.8.0-3.a.1.2, 72.24.0.?, 104.2.0.?, $\ldots$ |
$[]$ |
| 7488.g2 |
7488t2 |
7488.g |
7488t |
$3$ |
$9$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( - 2^{21} \cdot 3^{6} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.12.0.1 |
3Cs |
$936$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$11520$ |
$1.094107$ |
$-10218313/17576$ |
$0.94717$ |
$4.10123$ |
$[0, 0, 0, -2604, 101936]$ |
\(y^2=x^3-2604x+101936\) |
3.12.0.a.1, 24.24.0-3.a.1.1, 104.2.0.?, 117.36.0.?, 156.24.0.?, $\ldots$ |
$[]$ |
| 7488.g3 |
7488t1 |
7488.g |
7488t |
$3$ |
$9$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( - 2^{19} \cdot 3^{6} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$936$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$3840$ |
$0.544801$ |
$12167/26$ |
$0.84415$ |
$3.30290$ |
$[0, 0, 0, 276, -2896]$ |
\(y^2=x^3+276x-2896\) |
3.4.0.a.1, 9.12.0.a.1, 24.8.0-3.a.1.1, 72.24.0.?, 104.2.0.?, $\ldots$ |
$[]$ |
| 7488.h1 |
7488bv3 |
7488.h |
7488bv |
$3$ |
$9$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( - 2^{27} \cdot 3^{6} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$936$ |
$144$ |
$3$ |
$7.652505194$ |
$1$ |
|
$0$ |
$34560$ |
$1.643414$ |
$-10730978619193/6656$ |
$1.02193$ |
$5.50075$ |
$[0, 0, 0, -264684, -52413104]$ |
\(y^2=x^3-264684x-52413104\) |
3.4.0.a.1, 9.12.0.a.1, 24.8.0-3.a.1.4, 72.24.0.?, 78.8.0.?, $\ldots$ |
$[(72714/5, 19277312/5)]$ |
| 7488.h2 |
7488bv2 |
7488.h |
7488bv |
$3$ |
$9$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( - 2^{21} \cdot 3^{6} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.12.0.1 |
3Cs |
$936$ |
$144$ |
$3$ |
$2.550835064$ |
$1$ |
|
$2$ |
$11520$ |
$1.094107$ |
$-10218313/17576$ |
$0.94717$ |
$4.10123$ |
$[0, 0, 0, -2604, -101936]$ |
\(y^2=x^3-2604x-101936\) |
3.12.0.a.1, 24.24.0-3.a.1.2, 78.24.0.?, 104.2.0.?, 117.36.0.?, $\ldots$ |
$[(138, 1472)]$ |
| 7488.h3 |
7488bv1 |
7488.h |
7488bv |
$3$ |
$9$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( - 2^{19} \cdot 3^{6} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$936$ |
$144$ |
$3$ |
$0.850278354$ |
$1$ |
|
$4$ |
$3840$ |
$0.544801$ |
$12167/26$ |
$0.84415$ |
$3.30290$ |
$[0, 0, 0, 276, 2896]$ |
\(y^2=x^3+276x+2896\) |
3.4.0.a.1, 9.12.0.a.1, 24.8.0-3.a.1.3, 72.24.0.?, 78.8.0.?, $\ldots$ |
$[(-6, 32)]$ |
| 7488.i1 |
7488bu3 |
7488.i |
7488bu |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{14} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.18 |
2B |
$624$ |
$192$ |
$3$ |
$3.285028526$ |
$1$ |
|
$5$ |
$16384$ |
$1.198713$ |
$3044193988/85293$ |
$0.95679$ |
$4.42980$ |
$[0, 0, 0, -10956, -430576]$ |
\(y^2=x^3-10956x-430576\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0-8.o.1.2, 24.24.0-8.o.1.5, $\ldots$ |
$[(-64, 92)]$ |
| 7488.i2 |
7488bu2 |
7488.i |
7488bu |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( 2^{14} \cdot 3^{10} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.34 |
2Cs |
$312$ |
$192$ |
$3$ |
$1.642514263$ |
$1$ |
|
$11$ |
$8192$ |
$0.852139$ |
$37642192/13689$ |
$0.91195$ |
$3.78199$ |
$[0, 0, 0, -1596, 14960]$ |
\(y^2=x^3-1596x+14960\) |
2.6.0.a.1, 4.12.0.a.1, 8.24.0-4.a.1.2, 24.48.0-24.k.1.5, 52.24.0.b.1, $\ldots$ |
$[(8, 52)]$ |
| 7488.i3 |
7488bu1 |
7488.i |
7488bu |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{8} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.18 |
2B |
$624$ |
$192$ |
$3$ |
$0.821257131$ |
$1$ |
|
$7$ |
$4096$ |
$0.505566$ |
$420616192/117$ |
$0.96408$ |
$3.74175$ |
$[0, 0, 0, -1416, 20504]$ |
\(y^2=x^3-1416x+20504\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0-8.o.1.2, 24.24.0-8.o.1.7, $\ldots$ |
$[(25, 27)]$ |
| 7488.i4 |
7488bu4 |
7488.i |
7488bu |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( - 2^{16} \cdot 3^{8} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.75 |
2B |
$624$ |
$192$ |
$3$ |
$3.285028526$ |
$1$ |
|
$5$ |
$16384$ |
$1.198713$ |
$269676572/257049$ |
$0.96683$ |
$4.15811$ |
$[0, 0, 0, 4884, 105680]$ |
\(y^2=x^3+4884x+105680\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.4, 12.24.0.e.1, 24.48.0-12.e.1.2, $\ldots$ |
$[(-11, 225)]$ |
| 7488.j1 |
7488h2 |
7488.j |
7488h |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( 2^{20} \cdot 3^{9} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$18432$ |
$1.346369$ |
$1033364331/676$ |
$1.11849$ |
$4.83354$ |
$[0, 0, 0, -36396, -2671056]$ |
\(y^2=x^3-36396x-2671056\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.? |
$[]$ |
| 7488.j2 |
7488h1 |
7488.j |
7488h |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( - 2^{22} \cdot 3^{9} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$0.999796$ |
$-132651/208$ |
$1.11492$ |
$3.97605$ |
$[0, 0, 0, -1836, -58320]$ |
\(y^2=x^3-1836x-58320\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[]$ |
| 7488.k1 |
7488bj2 |
7488.k |
7488bj |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{9} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$0.956274024$ |
$1$ |
|
$7$ |
$6144$ |
$0.879438$ |
$530604/169$ |
$0.85497$ |
$3.82910$ |
$[0, 0, 0, -1836, 20304]$ |
\(y^2=x^3-1836x+20304\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.? |
$[(66, 432)]$ |
| 7488.k2 |
7488bj1 |
7488.k |
7488bj |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( - 2^{14} \cdot 3^{9} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.912548049$ |
$1$ |
|
$5$ |
$3072$ |
$0.532865$ |
$11664/13$ |
$0.66228$ |
$3.24579$ |
$[0, 0, 0, 324, 2160]$ |
\(y^2=x^3+324x+2160\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[(10, 80)]$ |
| 7488.l1 |
7488bd2 |
7488.l |
7488bd |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( 2^{12} \cdot 3^{10} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.21 |
2B |
$104$ |
$48$ |
$0$ |
$1.347479513$ |
$1$ |
|
$5$ |
$4096$ |
$0.537581$ |
$5088448/1053$ |
$0.87842$ |
$3.40228$ |
$[0, 0, 0, -516, 3616]$ |
\(y^2=x^3-516x+3616\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.3, 26.6.0.b.1, 52.12.0.e.1, $\ldots$ |
$[(20, 36)]$ |
| 7488.l2 |
7488bd1 |
7488.l |
7488bd |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( - 2^{6} \cdot 3^{8} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.12 |
2B |
$104$ |
$48$ |
$0$ |
$2.694959026$ |
$1$ |
|
$3$ |
$2048$ |
$0.191008$ |
$778688/1521$ |
$0.89008$ |
$2.82265$ |
$[0, 0, 0, 69, 340]$ |
\(y^2=x^3+69x+340\) |
2.3.0.a.1, 4.12.0-4.a.1.1, 52.24.0-52.d.1.1, 104.48.0.? |
$[(48, 338)]$ |
| 7488.m1 |
7488r3 |
7488.m |
7488r |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( 2^{15} \cdot 3^{9} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$1.408596$ |
$11339065490696/351$ |
$1.01108$ |
$5.27383$ |
$[0, 0, 0, -134796, -19048624]$ |
\(y^2=x^3-134796x-19048624\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.ba.1.6, 104.24.0.?, $\ldots$ |
$[]$ |
| 7488.m2 |
7488r2 |
7488.m |
7488r |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( 2^{12} \cdot 3^{12} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$12288$ |
$1.062023$ |
$22235451328/123201$ |
$1.06662$ |
$4.34191$ |
$[0, 0, 0, -8436, -296800]$ |
\(y^2=x^3-8436x-296800\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.a.1, 24.24.0-12.a.1.2, 52.12.0-2.a.1.2, $\ldots$ |
$[]$ |
| 7488.m3 |
7488r4 |
7488.m |
7488r |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( - 2^{15} \cdot 3^{18} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$1.408596$ |
$-245314376/6908733$ |
$1.10902$ |
$4.50756$ |
$[0, 0, 0, -3756, -624400]$ |
\(y^2=x^3-3756x-624400\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 24.24.0-24.ba.1.10, 104.24.0.?, $\ldots$ |
$[]$ |
| 7488.m4 |
7488r1 |
7488.m |
7488r |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{9} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6144$ |
$0.715449$ |
$1360251712/771147$ |
$1.06942$ |
$3.56253$ |
$[0, 0, 0, -831, 1316]$ |
\(y^2=x^3-831x+1316\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0.h.1, 24.24.0-12.h.1.1, $\ldots$ |
$[]$ |
| 7488.n1 |
7488d1 |
7488.n |
7488d |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{3} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$3.901721521$ |
$1$ |
|
$1$ |
$512$ |
$-0.265463$ |
$8489664/13$ |
$0.88110$ |
$2.62403$ |
$[0, 0, 0, -51, -140]$ |
\(y^2=x^3-51x-140\) |
2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.? |
$[(33/2, 7/2)]$ |
| 7488.n2 |
7488d2 |
7488.n |
7488d |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{3} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.950860760$ |
$1$ |
|
$7$ |
$1024$ |
$0.081110$ |
$-46656/169$ |
$0.83745$ |
$2.72910$ |
$[0, 0, 0, -36, -224]$ |
\(y^2=x^3-36x-224\) |
2.3.0.a.1, 6.6.0.a.1, 52.6.0.e.1, 156.12.0.? |
$[(20, 84)]$ |
| 7488.o1 |
7488c1 |
7488.o |
7488c |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{3} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.951704758$ |
$1$ |
|
$3$ |
$512$ |
$-0.265463$ |
$8489664/13$ |
$0.88110$ |
$2.62403$ |
$[0, 0, 0, -51, 140]$ |
\(y^2=x^3-51x+140\) |
2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.? |
$[(-8, 6)]$ |
| 7488.o2 |
7488c2 |
7488.o |
7488c |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{3} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$0.975852379$ |
$1$ |
|
$7$ |
$1024$ |
$0.081110$ |
$-46656/169$ |
$0.83745$ |
$2.72910$ |
$[0, 0, 0, -36, 224]$ |
\(y^2=x^3-36x+224\) |
2.3.0.a.1, 6.6.0.a.1, 52.6.0.e.1, 156.12.0.? |
$[(4, 12)]$ |
| 7488.p1 |
7488q3 |
7488.p |
7488q |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( 2^{15} \cdot 3^{9} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$1.408596$ |
$11339065490696/351$ |
$1.01108$ |
$5.27383$ |
$[0, 0, 0, -134796, 19048624]$ |
\(y^2=x^3-134796x+19048624\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.ba.1.14, 104.24.0.?, $\ldots$ |
$[]$ |
| 7488.p2 |
7488q2 |
7488.p |
7488q |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( 2^{12} \cdot 3^{12} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$12288$ |
$1.062023$ |
$22235451328/123201$ |
$1.06662$ |
$4.34191$ |
$[0, 0, 0, -8436, 296800]$ |
\(y^2=x^3-8436x+296800\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.a.1, 24.24.0-12.a.1.1, 52.12.0-2.a.1.2, $\ldots$ |
$[]$ |
| 7488.p3 |
7488q4 |
7488.p |
7488q |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( - 2^{15} \cdot 3^{18} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$1.408596$ |
$-245314376/6908733$ |
$1.10902$ |
$4.50756$ |
$[0, 0, 0, -3756, 624400]$ |
\(y^2=x^3-3756x+624400\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 24.24.0-24.ba.1.2, 104.24.0.?, $\ldots$ |
$[]$ |
| 7488.p4 |
7488q1 |
7488.p |
7488q |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{9} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6144$ |
$0.715449$ |
$1360251712/771147$ |
$1.06942$ |
$3.56253$ |
$[0, 0, 0, -831, -1316]$ |
\(y^2=x^3-831x-1316\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0.h.1, 24.24.0-12.h.1.2, $\ldots$ |
$[]$ |
| 7488.q1 |
7488bc2 |
7488.q |
7488bc |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( 2^{12} \cdot 3^{10} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.21 |
2B |
$104$ |
$48$ |
$0$ |
$1.833591857$ |
$1$ |
|
$5$ |
$4096$ |
$0.537581$ |
$5088448/1053$ |
$0.87842$ |
$3.40228$ |
$[0, 0, 0, -516, -3616]$ |
\(y^2=x^3-516x-3616\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.3, 26.6.0.b.1, 52.12.0.e.1, $\ldots$ |
$[(-11, 27)]$ |
| 7488.q2 |
7488bc1 |
7488.q |
7488bc |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( - 2^{6} \cdot 3^{8} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.12 |
2B |
$104$ |
$48$ |
$0$ |
$3.667183715$ |
$1$ |
|
$1$ |
$2048$ |
$0.191008$ |
$778688/1521$ |
$0.89008$ |
$2.82265$ |
$[0, 0, 0, 69, -340]$ |
\(y^2=x^3+69x-340\) |
2.3.0.a.1, 4.12.0-4.a.1.1, 52.24.0-52.d.1.1, 104.48.0.? |
$[(97/2, 999/2)]$ |
| 7488.r1 |
7488g2 |
7488.r |
7488g |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{9} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6144$ |
$0.879438$ |
$530604/169$ |
$0.85497$ |
$3.82910$ |
$[0, 0, 0, -1836, -20304]$ |
\(y^2=x^3-1836x-20304\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.? |
$[]$ |
| 7488.r2 |
7488g1 |
7488.r |
7488g |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( - 2^{14} \cdot 3^{9} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$0.532865$ |
$11664/13$ |
$0.66228$ |
$3.24579$ |
$[0, 0, 0, 324, -2160]$ |
\(y^2=x^3+324x-2160\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[]$ |
| 7488.s1 |
7488bi2 |
7488.s |
7488bi |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( 2^{20} \cdot 3^{9} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.310282413$ |
$1$ |
|
$7$ |
$18432$ |
$1.346369$ |
$1033364331/676$ |
$1.11849$ |
$4.83354$ |
$[0, 0, 0, -36396, 2671056]$ |
\(y^2=x^3-36396x+2671056\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.? |
$[(106, 64)]$ |
| 7488.s2 |
7488bi1 |
7488.s |
7488bi |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( - 2^{22} \cdot 3^{9} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$2.620564827$ |
$1$ |
|
$5$ |
$9216$ |
$0.999796$ |
$-132651/208$ |
$1.11492$ |
$3.97605$ |
$[0, 0, 0, -1836, 58320]$ |
\(y^2=x^3-1836x+58320\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[(-27, 297)]$ |
| 7488.t1 |
7488s3 |
7488.t |
7488s |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{14} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.18 |
2B |
$624$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$16384$ |
$1.198713$ |
$3044193988/85293$ |
$0.95679$ |
$4.42980$ |
$[0, 0, 0, -10956, 430576]$ |
\(y^2=x^3-10956x+430576\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0-8.o.1.2, 24.24.0-8.o.1.7, $\ldots$ |
$[]$ |
| 7488.t2 |
7488s2 |
7488.t |
7488s |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( 2^{14} \cdot 3^{10} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.34 |
2Cs |
$312$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$3$ |
$8192$ |
$0.852139$ |
$37642192/13689$ |
$0.91195$ |
$3.78199$ |
$[0, 0, 0, -1596, -14960]$ |
\(y^2=x^3-1596x-14960\) |
2.6.0.a.1, 4.12.0.a.1, 8.24.0-4.a.1.2, 24.48.0-24.k.1.5, 52.24.0.b.1, $\ldots$ |
$[]$ |
| 7488.t3 |
7488s1 |
7488.t |
7488s |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{8} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.18 |
2B |
$624$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$4096$ |
$0.505566$ |
$420616192/117$ |
$0.96408$ |
$3.74175$ |
$[0, 0, 0, -1416, -20504]$ |
\(y^2=x^3-1416x-20504\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0-8.o.1.2, 24.24.0-8.o.1.5, $\ldots$ |
$[]$ |
| 7488.t4 |
7488s4 |
7488.t |
7488s |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( - 2^{16} \cdot 3^{8} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.75 |
2B |
$624$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$16384$ |
$1.198713$ |
$269676572/257049$ |
$0.96683$ |
$4.15811$ |
$[0, 0, 0, 4884, -105680]$ |
\(y^2=x^3+4884x-105680\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.4, 12.24.0.e.1, 24.48.0-12.e.1.2, $\ldots$ |
$[]$ |
