| 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 |
| 78.a1 |
78a4 |
78.a |
78a |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 13 \) |
\( 2^{4} \cdot 3^{5} \cdot 13^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$160$ |
$0.968078$ |
$986551739719628473/111045168$ |
$1.06555$ |
$9.51016$ |
$[1, 1, 0, -20739, 1140957]$ |
\(y^2+xy=x^3+x^2-20739x+1140957\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 12.24.0-12.h.1.2, 104.24.0.?, 312.48.0.? |
$[]$ |
| 234.c1 |
234d3 |
234.c |
234d |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{11} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1280$ |
$1.517384$ |
$986551739719628473/111045168$ |
$1.06555$ |
$8.80327$ |
$[1, -1, 1, -186656, -30992493]$ |
\(y^2+xy+y=x^3-x^2-186656x-30992493\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 12.24.0-12.h.1.1, 104.24.0.?, 312.48.0.? |
$[]$ |
| 624.h1 |
624i3 |
624.h |
624i |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13 \) |
\( 2^{16} \cdot 3^{5} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3840$ |
$1.661224$ |
$986551739719628473/111045168$ |
$1.06555$ |
$7.72989$ |
$[0, 1, 0, -331832, -73684908]$ |
\(y^2=x^3+x^2-331832x-73684908\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 12.24.0-12.h.1.1, 104.24.0.?, 312.48.0.? |
$[]$ |
| 1014.d1 |
1014e4 |
1014.d |
1014e |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{5} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$26880$ |
$2.250553$ |
$986551739719628473/111045168$ |
$1.06555$ |
$8.20940$ |
$[1, 1, 1, -3504979, 2524207265]$ |
\(y^2+xy+y=x^3+x^2-3504979x+2524207265\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0.h.1, 24.24.0-12.h.1.6, $\ldots$ |
$[]$ |
| 1872.c1 |
1872r4 |
1872.c |
1872r |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{11} \cdot 13^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$30720$ |
$2.210529$ |
$986551739719628473/111045168$ |
$1.06555$ |
$7.47767$ |
$[0, 0, 0, -2986491, 1986506026]$ |
\(y^2=x^3-2986491x+1986506026\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 12.24.0-12.h.1.2, 104.24.0.?, 312.48.0.? |
$[]$ |
| 1950.w1 |
1950v4 |
1950.w |
1950v |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{5} \cdot 5^{6} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$0.342717111$ |
$1$ |
|
$10$ |
$20480$ |
$1.772797$ |
$986551739719628473/111045168$ |
$1.06555$ |
$6.74398$ |
$[1, 0, 0, -518488, 143656592]$ |
\(y^2+xy=x^3-518488x+143656592\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 20.12.0-4.c.1.2, 60.24.0-12.h.1.2, $\ldots$ |
$[(422, 14)]$ |
| 2496.b1 |
2496u3 |
2496.b |
2496u |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 13 \) |
\( 2^{22} \cdot 3^{5} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$30720$ |
$2.007797$ |
$986551739719628473/111045168$ |
$1.06555$ |
$6.89166$ |
$[0, -1, 0, -1327329, -588151935]$ |
\(y^2=x^3-x^2-1327329x-588151935\) |
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, $\ldots$ |
$[]$ |
| 2496.t1 |
2496j4 |
2496.t |
2496j |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 13 \) |
\( 2^{22} \cdot 3^{5} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$30720$ |
$2.007797$ |
$986551739719628473/111045168$ |
$1.06555$ |
$6.89166$ |
$[0, 1, 0, -1327329, 588151935]$ |
\(y^2=x^3+x^2-1327329x+588151935\) |
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, $\ldots$ |
$[]$ |
| 3042.f1 |
3042d3 |
3042.f |
3042d |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{11} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$215040$ |
$2.799858$ |
$986551739719628473/111045168$ |
$1.06555$ |
$7.90676$ |
$[1, -1, 0, -31544811, -68185140971]$ |
\(y^2+xy=x^3-x^2-31544811x-68185140971\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0.h.1, 24.24.0-12.h.1.4, $\ldots$ |
$[]$ |
| 3822.j1 |
3822m3 |
3822.j |
3822m |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{5} \cdot 7^{6} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$1.806158809$ |
$1$ |
|
$6$ |
$46080$ |
$1.941032$ |
$986551739719628473/111045168$ |
$1.06555$ |
$6.43854$ |
$[1, 0, 1, -1016237, -394396936]$ |
\(y^2+xy+y=x^3-1016237x-394396936\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 28.12.0-4.c.1.2, 84.24.0.?, $\ldots$ |
$[(-582, 295)]$ |
| 5850.d1 |
5850m3 |
5850.d |
5850m |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{11} \cdot 5^{6} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$163840$ |
$2.322102$ |
$986551739719628473/111045168$ |
$1.06555$ |
$6.64976$ |
$[1, -1, 0, -4666392, -3878727984]$ |
\(y^2+xy=x^3-x^2-4666392x-3878727984\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 20.12.0-4.c.1.1, 60.24.0-12.h.1.1, $\ldots$ |
$[]$ |
| 7488.bk1 |
7488bt4 |
7488.bk |
7488bt |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( 2^{22} \cdot 3^{11} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$312$ |
$48$ |
$0$ |
$3.628439808$ |
$1$ |
|
$3$ |
$245760$ |
$2.557106$ |
$986551739719628473/111045168$ |
$1.06555$ |
$6.78186$ |
$[0, 0, 0, -11945964, 15892048208]$ |
\(y^2=x^3-11945964x+15892048208\) |
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, $\ldots$ |
$[(1754, 18304)]$ |
| 7488.bz1 |
7488o3 |
7488.bz |
7488o |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( 2^{22} \cdot 3^{11} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$245760$ |
$2.557106$ |
$986551739719628473/111045168$ |
$1.06555$ |
$6.78186$ |
$[0, 0, 0, -11945964, -15892048208]$ |
\(y^2=x^3-11945964x-15892048208\) |
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, $\ldots$ |
$[]$ |
| 8112.v1 |
8112bg3 |
8112.v |
8112bg |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( 2^{16} \cdot 3^{5} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$312$ |
$48$ |
$0$ |
$8.856160182$ |
$1$ |
|
$1$ |
$645120$ |
$2.943699$ |
$986551739719628473/111045168$ |
$1.06555$ |
$7.23694$ |
$[0, 1, 0, -56079664, -161661424300]$ |
\(y^2=x^3+x^2-56079664x-161661424300\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0.h.1, 24.24.0-12.h.1.6, $\ldots$ |
$[(-432451/10, 104307/10)]$ |
| 9438.t1 |
9438u3 |
9438.t |
9438u |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{5} \cdot 11^{6} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$5.907806711$ |
$1$ |
|
$2$ |
$204800$ |
$2.167027$ |
$986551739719628473/111045168$ |
$1.06555$ |
$6.09892$ |
$[1, 1, 1, -2509482, -1531161081]$ |
\(y^2+xy+y=x^3+x^2-2509482x-1531161081\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 44.12.0-4.c.1.2, 104.12.0.?, $\ldots$ |
$[(5891, 430839)]$ |
| 11466.cj1 |
11466bz4 |
11466.cj |
11466bz |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{11} \cdot 7^{6} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$368640$ |
$2.490337$ |
$986551739719628473/111045168$ |
$1.06555$ |
$6.38699$ |
$[1, -1, 1, -9146129, 10648717265]$ |
\(y^2+xy+y=x^3-x^2-9146129x+10648717265\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 28.12.0-4.c.1.1, 84.24.0.?, $\ldots$ |
$[]$ |
| 15600.bk1 |
15600bd3 |
15600.bk |
15600bd |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{5} \cdot 5^{6} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$491520$ |
$2.465942$ |
$986551739719628473/111045168$ |
$1.06555$ |
$6.15300$ |
$[0, -1, 0, -8295808, -9194021888]$ |
\(y^2=x^3-x^2-8295808x-9194021888\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 20.12.0-4.c.1.1, 60.24.0-12.h.1.1, $\ldots$ |
$[]$ |
| 22542.j1 |
22542n4 |
22542.j |
22542n |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{5} \cdot 13^{4} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$0.468848160$ |
$1$ |
|
$10$ |
$819200$ |
$2.384686$ |
$986551739719628473/111045168$ |
$1.06555$ |
$5.82974$ |
$[1, 0, 1, -5993722, 5647477436]$ |
\(y^2+xy+y=x^3-5993722x+5647477436\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 68.12.0-4.c.1.2, 104.12.0.?, $\ldots$ |
$[(1417, -475)]$ |
| 24336.bz1 |
24336bs4 |
24336.bz |
24336bs |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{16} \cdot 3^{11} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$312$ |
$48$ |
$0$ |
$7.967410010$ |
$1$ |
|
$1$ |
$5160960$ |
$3.493004$ |
$986551739719628473/111045168$ |
$1.06555$ |
$7.10239$ |
$[0, 0, 0, -504716979, 4364353739122]$ |
\(y^2=x^3-504716979x+4364353739122\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0.h.1, 24.24.0-12.h.1.4, $\ldots$ |
$[(7972991/25, 657427914/25)]$ |
| 25350.bt1 |
25350bg4 |
25350.bt |
25350bg |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{5} \cdot 5^{6} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3440640$ |
$3.055271$ |
$986551739719628473/111045168$ |
$1.06555$ |
$6.55580$ |
$[1, 0, 1, -87624476, 315701157098]$ |
\(y^2+xy+y=x^3-87624476x+315701157098\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 40.12.0-4.c.1.5, 104.12.0.?, $\ldots$ |
$[]$ |
| 28158.u1 |
28158r4 |
28158.u |
28158r |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 13 \cdot 19^{2} \) |
\( 2^{4} \cdot 3^{5} \cdot 13^{4} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5928$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$967680$ |
$2.440296$ |
$986551739719628473/111045168$ |
$1.06555$ |
$5.76830$ |
$[1, 0, 0, -7486967, -7885719303]$ |
\(y^2+xy=x^3-7486967x-7885719303\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 76.12.0.?, 104.12.0.?, $\ldots$ |
$[]$ |
| 28314.d1 |
28314u4 |
28314.d |
28314u |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{11} \cdot 11^{6} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$1.266280198$ |
$1$ |
|
$6$ |
$1638400$ |
$2.716331$ |
$986551739719628473/111045168$ |
$1.06555$ |
$6.08832$ |
$[1, -1, 0, -22585338, 41318763844]$ |
\(y^2+xy=x^3-x^2-22585338x+41318763844\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 44.12.0-4.c.1.1, 104.12.0.?, $\ldots$ |
$[(2720, 818)]$ |
| 30576.l1 |
30576br4 |
30576.l |
30576br |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{5} \cdot 7^{6} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$6.721486898$ |
$1$ |
|
$3$ |
$1105920$ |
$2.634178$ |
$986551739719628473/111045168$ |
$1.06555$ |
$5.94756$ |
$[0, -1, 0, -16259784, 25241403888]$ |
\(y^2=x^3-x^2-16259784x+25241403888\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 28.12.0-4.c.1.1, 84.24.0.?, $\ldots$ |
$[(22778, 3387098)]$ |
| 32448.bm1 |
32448cg4 |
32448.bm |
32448cg |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 13^{2} \) |
\( 2^{22} \cdot 3^{5} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$25$ |
$5$ |
$1$ |
$5160960$ |
$3.290272$ |
$986551739719628473/111045168$ |
$1.06555$ |
$6.67148$ |
$[0, -1, 0, -224318657, -1293067075743]$ |
\(y^2=x^3-x^2-224318657x-1293067075743\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0.h.1, 24.24.0-12.h.1.3, $\ldots$ |
$[]$ |
| 32448.db1 |
32448bf4 |
32448.db |
32448bf |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 13^{2} \) |
\( 2^{22} \cdot 3^{5} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5160960$ |
$3.290272$ |
$986551739719628473/111045168$ |
$1.06555$ |
$6.67148$ |
$[0, 1, 0, -224318657, 1293067075743]$ |
\(y^2=x^3+x^2-224318657x+1293067075743\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0.h.1, 24.24.0-12.h.1.3, $\ldots$ |
$[]$ |
| 41262.a1 |
41262g4 |
41262.a |
41262g |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 13 \cdot 23^{2} \) |
\( 2^{4} \cdot 3^{5} \cdot 13^{4} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7176$ |
$48$ |
$0$ |
$3.894483120$ |
$1$ |
|
$2$ |
$2027520$ |
$2.535824$ |
$986551739719628473/111045168$ |
$1.06555$ |
$5.66877$ |
$[1, 1, 0, -10971206, -13991735004]$ |
\(y^2+xy=x^3+x^2-10971206x-13991735004\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 92.12.0.?, 104.12.0.?, $\ldots$ |
$[(13560, 1519914)]$ |
| 46800.fd1 |
46800dk4 |
46800.fd |
46800dk |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{11} \cdot 5^{6} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$9.542038653$ |
$1$ |
|
$1$ |
$3932160$ |
$3.015251$ |
$986551739719628473/111045168$ |
$1.06555$ |
$6.13737$ |
$[0, 0, 0, -74662275, 248313253250]$ |
\(y^2=x^3-74662275x+248313253250\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 20.12.0-4.c.1.2, 60.24.0-12.h.1.2, $\ldots$ |
$[(2207815/21, 19960550/21)]$ |
| 49686.dj1 |
49686dd4 |
49686.dj |
49686dd |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{5} \cdot 7^{6} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$7741440$ |
$3.223507$ |
$986551739719628473/111045168$ |
$1.06555$ |
$6.33452$ |
$[1, 0, 0, -171743972, -866318323872]$ |
\(y^2+xy=x^3-171743972x-866318323872\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 56.12.0-4.c.1.5, 104.12.0.?, $\ldots$ |
$[]$ |
| 62400.r1 |
62400bh4 |
62400.r |
62400bh |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{22} \cdot 3^{5} \cdot 5^{6} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3932160$ |
$2.812519$ |
$986551739719628473/111045168$ |
$1.06555$ |
$5.75713$ |
$[0, -1, 0, -33183233, 73585358337]$ |
\(y^2=x^3-x^2-33183233x+73585358337\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 40.12.0-4.c.1.2, 104.12.0.?, $\ldots$ |
$[]$ |
| 62400.ho1 |
62400hn4 |
62400.ho |
62400hn |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{22} \cdot 3^{5} \cdot 5^{6} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3932160$ |
$2.812519$ |
$986551739719628473/111045168$ |
$1.06555$ |
$5.75713$ |
$[0, 1, 0, -33183233, -73585358337]$ |
\(y^2=x^3+x^2-33183233x-73585358337\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 40.12.0-4.c.1.1, 104.12.0.?, $\ldots$ |
$[]$ |
| 65598.bm1 |
65598bl4 |
65598.bm |
65598bl |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 13 \cdot 29^{2} \) |
\( 2^{4} \cdot 3^{5} \cdot 13^{4} \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9048$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3870720$ |
$2.651726$ |
$986551739719628473/111045168$ |
$1.06555$ |
$5.55722$ |
$[1, 0, 0, -17441937, 28036101753]$ |
\(y^2+xy=x^3-17441937x+28036101753\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 104.12.0.?, 116.12.0.?, $\ldots$ |
$[]$ |
| 67626.bh1 |
67626bc4 |
67626.bh |
67626bc |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{11} \cdot 13^{4} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6553600$ |
$2.933990$ |
$986551739719628473/111045168$ |
$1.06555$ |
$5.84656$ |
$[1, -1, 1, -53943494, -152481890779]$ |
\(y^2+xy+y=x^3-x^2-53943494x-152481890779\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 68.12.0-4.c.1.1, 104.12.0.?, $\ldots$ |
$[]$ |
| 74958.o1 |
74958k4 |
74958.o |
74958k |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 13 \cdot 31^{2} \) |
\( 2^{4} \cdot 3^{5} \cdot 13^{4} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9672$ |
$48$ |
$0$ |
$11.72333725$ |
$1$ |
|
$0$ |
$4838400$ |
$2.685070$ |
$986551739719628473/111045168$ |
$1.06555$ |
$5.52683$ |
$[1, 0, 1, -19930680, -34249346666]$ |
\(y^2+xy+y=x^3-19930680x-34249346666\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 104.12.0.?, 124.12.0.?, $\ldots$ |
$[(-3158336/35, 55801318/35)]$ |
| 75504.cq1 |
75504cm4 |
75504.cq |
75504cm |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{5} \cdot 11^{6} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4915200$ |
$2.860172$ |
$986551739719628473/111045168$ |
$1.06555$ |
$5.71033$ |
$[0, 1, 0, -40151712, 97914005748]$ |
\(y^2=x^3+x^2-40151712x+97914005748\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 44.12.0-4.c.1.1, 104.12.0.?, $\ldots$ |
$[]$ |
| 76050.fz1 |
76050ey4 |
76050.fz |
76050ey |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{11} \cdot 5^{6} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$13.29241573$ |
$1$ |
|
$0$ |
$27525120$ |
$3.604576$ |
$986551739719628473/111045168$ |
$1.06555$ |
$6.50147$ |
$[1, -1, 1, -788620280, -8523931241653]$ |
\(y^2+xy+y=x^3-x^2-788620280x-8523931241653\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 40.12.0-4.c.1.3, 104.12.0.?, $\ldots$ |
$[(4189411/7, 8022314565/7)]$ |
| 84474.i1 |
84474p4 |
84474.i |
84474p |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 19^{2} \) |
\( 2^{4} \cdot 3^{11} \cdot 13^{4} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5928$ |
$48$ |
$0$ |
$3.395708058$ |
$1$ |
|
$2$ |
$7741440$ |
$2.989605$ |
$986551739719628473/111045168$ |
$1.06555$ |
$5.79074$ |
$[1, -1, 0, -67382703, 212914421181]$ |
\(y^2+xy=x^3-x^2-67382703x+212914421181\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 76.12.0.?, 104.12.0.?, $\ldots$ |
$[(-8526, 413637)]$ |
| 91728.el1 |
91728ei4 |
91728.el |
91728ei |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{11} \cdot 7^{6} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$8847360$ |
$3.183487$ |
$986551739719628473/111045168$ |
$1.06555$ |
$5.95260$ |
$[0, 0, 0, -146338059, -681371566918]$ |
\(y^2=x^3-146338059x-681371566918\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 28.12.0-4.c.1.2, 84.24.0.?, $\ldots$ |
$[]$ |
| 95550.gj1 |
95550hl4 |
95550.gj |
95550hl |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{5} \cdot 5^{6} \cdot 7^{6} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$5898240$ |
$2.745750$ |
$986551739719628473/111045168$ |
$1.06555$ |
$5.47335$ |
$[1, 1, 1, -25405913, -49299616969]$ |
\(y^2+xy+y=x^3+x^2-25405913x-49299616969\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 104.12.0.?, 140.12.0.?, $\ldots$ |
$[]$ |
| 97344.y1 |
97344ci4 |
97344.y |
97344ci |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{22} \cdot 3^{11} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$41287680$ |
$3.839581$ |
$986551739719628473/111045168$ |
$1.06555$ |
$6.60726$ |
$[0, 0, 0, -2018867916, -34914829912976]$ |
\(y^2=x^3-2018867916x-34914829912976\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 12.12.0.h.1, 24.24.0-12.h.1.5, $\ldots$ |
$[]$ |
| 97344.ci1 |
97344fn4 |
97344.ci |
97344fn |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{22} \cdot 3^{11} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$312$ |
$48$ |
$0$ |
$9.682450602$ |
$1$ |
|
$1$ |
$41287680$ |
$3.839581$ |
$986551739719628473/111045168$ |
$1.06555$ |
$6.60726$ |
$[0, 0, 0, -2018867916, 34914829912976]$ |
\(y^2=x^3-2018867916x+34914829912976\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 12.12.0.h.1, 24.24.0-12.h.1.5, $\ldots$ |
$[(54739282/47, 33382177920/47)]$ |
| 106782.l1 |
106782j4 |
106782.l |
106782j |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 13 \cdot 37^{2} \) |
\( 2^{4} \cdot 3^{5} \cdot 13^{4} \cdot 37^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$11544$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8294400$ |
$2.773537$ |
$986551739719628473/111045168$ |
$1.06555$ |
$5.44961$ |
$[1, 1, 1, -28392404, 58218777317]$ |
\(y^2+xy+y=x^3+x^2-28392404x+58218777317\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 104.12.0.?, 148.12.0.?, $\ldots$ |
$[]$ |
| 122304.ds1 |
122304by4 |
122304.ds |
122304by |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( 2^{22} \cdot 3^{5} \cdot 7^{6} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$33.34597495$ |
$1$ |
|
$1$ |
$8847360$ |
$2.980755$ |
$986551739719628473/111045168$ |
$1.06555$ |
$5.59874$ |
$[0, -1, 0, -65039137, -201866191967]$ |
\(y^2=x^3-x^2-65039137x-201866191967\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 56.12.0-4.c.1.1, 104.12.0.?, $\ldots$ |
$[(-7761521578904592/1291091, 283695484451813084365/1291091)]$ |
| 122304.hn1 |
122304ij4 |
122304.hn |
122304ij |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( 2^{22} \cdot 3^{5} \cdot 7^{6} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$1.318009509$ |
$1$ |
|
$5$ |
$8847360$ |
$2.980755$ |
$986551739719628473/111045168$ |
$1.06555$ |
$5.59874$ |
$[0, 1, 0, -65039137, 201866191967]$ |
\(y^2=x^3+x^2-65039137x+201866191967\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 56.12.0-4.c.1.2, 104.12.0.?, $\ldots$ |
$[(4007, 74880)]$ |
| 122694.g1 |
122694x4 |
122694.g |
122694x |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{5} \cdot 11^{6} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$34406400$ |
$3.449501$ |
$986551739719628473/111045168$ |
$1.06555$ |
$6.07727$ |
$[1, 1, 0, -424102461, -3361840382259]$ |
\(y^2+xy=x^3+x^2-424102461x-3361840382259\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 88.12.0.?, 104.12.0.?, $\ldots$ |
$[]$ |
| 123786.bm1 |
123786bn4 |
123786.bm |
123786bn |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 23^{2} \) |
\( 2^{4} \cdot 3^{11} \cdot 13^{4} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7176$ |
$48$ |
$0$ |
$1.889411802$ |
$1$ |
|
$6$ |
$16220160$ |
$3.085133$ |
$986551739719628473/111045168$ |
$1.06555$ |
$5.69980$ |
$[1, -1, 1, -98740859, 377678104251]$ |
\(y^2+xy+y=x^3-x^2-98740859x+377678104251\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 92.12.0.?, 104.12.0.?, $\ldots$ |
$[(5733, -3396)]$ |
| 131118.e1 |
131118o3 |
131118.e |
131118o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 13 \cdot 41^{2} \) |
\( 2^{4} \cdot 3^{5} \cdot 13^{4} \cdot 41^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$12792$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10649600$ |
$2.824863$ |
$986551739719628473/111045168$ |
$1.06555$ |
$5.40693$ |
$[1, 0, 1, -34863135, 79228565698]$ |
\(y^2+xy+y=x^3-34863135x+79228565698\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 104.12.0.?, 164.12.0.?, $\ldots$ |
$[]$ |
| 144222.o1 |
144222b4 |
144222.o |
144222b |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 13 \cdot 43^{2} \) |
\( 2^{4} \cdot 3^{5} \cdot 13^{4} \cdot 43^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$13416$ |
$48$ |
$0$ |
$3.582220870$ |
$1$ |
|
$2$ |
$12902400$ |
$2.848679$ |
$986551739719628473/111045168$ |
$1.06555$ |
$5.38763$ |
$[1, 0, 0, -38347374, -91404315180]$ |
\(y^2+xy=x^3-38347374x-91404315180\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 104.12.0.?, 172.12.0.?, $\ldots$ |
$[(7980, 328830)]$ |
| 149058.v1 |
149058ev3 |
149058.v |
149058ev |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{11} \cdot 7^{6} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$1.920722291$ |
$1$ |
|
$6$ |
$61931520$ |
$3.772812$ |
$986551739719628473/111045168$ |
$1.06555$ |
$6.30366$ |
$[1, -1, 0, -1545695748, 23390594744544]$ |
\(y^2+xy=x^3-x^2-1545695748x+23390594744544\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 56.12.0-4.c.1.3, 104.12.0.?, $\ldots$ |
$[(22668, -3396)]$ |
| 172302.d1 |
172302t4 |
172302.d |
172302t |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 13 \cdot 47^{2} \) |
\( 2^{4} \cdot 3^{5} \cdot 13^{4} \cdot 47^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14664$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$16486400$ |
$2.893150$ |
$986551739719628473/111045168$ |
$1.06555$ |
$5.35240$ |
$[1, 1, 0, -45813601, -119373843131]$ |
\(y^2+xy=x^3+x^2-45813601x-119373843131\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 104.12.0.?, 188.12.0.?, $\ldots$ |
$[]$ |
| 180336.k1 |
180336bc4 |
180336.k |
180336bc |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{16} \cdot 3^{5} \cdot 13^{4} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$29.33710950$ |
$1$ |
|
$1$ |
$19660800$ |
$3.077831$ |
$986551739719628473/111045168$ |
$1.06555$ |
$5.51536$ |
$[0, -1, 0, -95899544, -361438555920]$ |
\(y^2=x^3-x^2-95899544x-361438555920\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 68.12.0-4.c.1.1, 104.12.0.?, $\ldots$ |
$[(67484108040301/67999, 364981738460466513806/67999)]$ |
