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 |
174.e2 |
174b1 |
174.e |
174b |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 29 \) |
\( - 2^{7} \cdot 3^{7} \cdot 29 \) |
$0$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$4872$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$6$ |
$28$ |
$0.004691$ |
$-117649/8118144$ |
$1.24364$ |
$4.52880$ |
$[1, 0, 0, -1, 137]$ |
\(y^2+xy=x^3-x+137\) |
7.48.0-7.a.1.2, 696.2.0.?, 4872.96.2.? |
$[]$ |
522.d2 |
522d1 |
522.d |
522d |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 29 \) |
\( - 2^{7} \cdot 3^{13} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$4872$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$224$ |
$0.553998$ |
$-117649/8118144$ |
$1.24364$ |
$4.78709$ |
$[1, -1, 0, -9, -3699]$ |
\(y^2+xy=x^3-x^2-9x-3699\) |
7.24.0.a.1, 21.48.0-7.a.1.2, 696.2.0.?, 1624.48.0.?, 4872.96.2.? |
$[]$ |
1392.e2 |
1392k1 |
1392.e |
1392k |
$2$ |
$7$ |
\( 2^{4} \cdot 3 \cdot 29 \) |
\( - 2^{19} \cdot 3^{7} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$4872$ |
$96$ |
$2$ |
$1.053018763$ |
$1$ |
|
$4$ |
$672$ |
$0.697839$ |
$-117649/8118144$ |
$1.24364$ |
$4.37689$ |
$[0, -1, 0, -16, -8768]$ |
\(y^2=x^3-x^2-16x-8768\) |
7.24.0.a.1, 28.48.0-7.a.1.1, 696.2.0.?, 4872.96.2.? |
$[(24, 64)]$ |
4176.w2 |
4176y1 |
4176.w |
4176y |
$2$ |
$7$ |
\( 2^{4} \cdot 3^{2} \cdot 29 \) |
\( - 2^{19} \cdot 3^{13} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$4872$ |
$96$ |
$2$ |
$0.874227798$ |
$1$ |
|
$4$ |
$5376$ |
$1.247145$ |
$-117649/8118144$ |
$1.24364$ |
$4.59077$ |
$[0, 0, 0, -147, 236882]$ |
\(y^2=x^3-147x+236882\) |
7.24.0.a.1, 84.48.0.?, 696.2.0.?, 1624.48.0.?, 4872.96.2.? |
$[(7, 486)]$ |
4350.e2 |
4350d1 |
4350.e |
4350d |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 29 \) |
\( - 2^{7} \cdot 3^{7} \cdot 5^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$24360$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$3920$ |
$0.809410$ |
$-117649/8118144$ |
$1.24364$ |
$3.94142$ |
$[1, 1, 0, -25, 17125]$ |
\(y^2+xy=x^3+x^2-25x+17125\) |
7.24.0.a.1, 35.48.0-7.a.1.1, 696.2.0.?, 4872.48.2.?, 24360.96.2.? |
$[]$ |
5046.a2 |
5046a1 |
5046.a |
5046a |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 29^{2} \) |
\( - 2^{7} \cdot 3^{7} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$4872$ |
$96$ |
$2$ |
$1.725733312$ |
$1$ |
|
$2$ |
$23520$ |
$1.688339$ |
$-117649/8118144$ |
$1.24364$ |
$5.10982$ |
$[1, 1, 0, -858, 3342996]$ |
\(y^2+xy=x^3+x^2-858x+3342996\) |
7.24.0.a.1, 168.48.0.?, 203.48.0.?, 696.2.0.?, 4872.96.2.? |
$[(263, 4494)]$ |
5568.l2 |
5568b1 |
5568.l |
5568b |
$2$ |
$7$ |
\( 2^{6} \cdot 3 \cdot 29 \) |
\( - 2^{25} \cdot 3^{7} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$4872$ |
$96$ |
$2$ |
$1.421506090$ |
$1$ |
|
$2$ |
$5376$ |
$1.044413$ |
$-117649/8118144$ |
$1.24364$ |
$4.15558$ |
$[0, -1, 0, -65, 70209]$ |
\(y^2=x^3-x^2-65x+70209\) |
7.24.0.a.1, 56.48.0-7.a.1.1, 696.2.0.?, 1218.48.0.?, 4872.96.2.? |
$[(81, 768)]$ |
5568.bc2 |
5568bc1 |
5568.bc |
5568bc |
$2$ |
$7$ |
\( 2^{6} \cdot 3 \cdot 29 \) |
\( - 2^{25} \cdot 3^{7} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$4872$ |
$96$ |
$2$ |
$0.448298997$ |
$1$ |
|
$4$ |
$5376$ |
$1.044413$ |
$-117649/8118144$ |
$1.24364$ |
$4.15558$ |
$[0, 1, 0, -65, -70209]$ |
\(y^2=x^3+x^2-65x-70209\) |
7.24.0.a.1, 56.48.0-7.a.1.2, 696.2.0.?, 2436.48.0.?, 4872.96.2.? |
$[(175, 2304)]$ |
8526.s2 |
8526o1 |
8526.s |
8526o |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( - 2^{7} \cdot 3^{7} \cdot 7^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.48.0.4 |
7B.1.6 |
$4872$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$10584$ |
$0.977647$ |
$-117649/8118144$ |
$1.24364$ |
$3.87143$ |
$[1, 1, 1, -50, -47041]$ |
\(y^2+xy+y=x^3+x^2-50x-47041\) |
7.48.0-7.a.1.1, 696.2.0.?, 4872.96.2.? |
$[]$ |
13050.bg2 |
13050bd1 |
13050.bg |
13050bd |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 29 \) |
\( - 2^{7} \cdot 3^{13} \cdot 5^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$24360$ |
$96$ |
$2$ |
$0.911243090$ |
$1$ |
|
$4$ |
$31360$ |
$1.358717$ |
$-117649/8118144$ |
$1.24364$ |
$4.18007$ |
$[1, -1, 1, -230, -462603]$ |
\(y^2+xy+y=x^3-x^2-230x-462603\) |
7.24.0.a.1, 105.48.0.?, 696.2.0.?, 4872.48.2.?, 8120.48.0.?, $\ldots$ |
$[(113, 915)]$ |
15138.y2 |
15138t1 |
15138.y |
15138t |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 29^{2} \) |
\( - 2^{7} \cdot 3^{13} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$4872$ |
$96$ |
$2$ |
$1.249500243$ |
$1$ |
|
$4$ |
$188160$ |
$2.237644$ |
$-117649/8118144$ |
$1.24364$ |
$5.21143$ |
$[1, -1, 1, -7727, -90268617]$ |
\(y^2+xy+y=x^3-x^2-7727x-90268617\) |
7.24.0.a.1, 56.48.0-7.a.1.5, 609.48.0.?, 696.2.0.?, 4872.96.2.? |
$[(3473, 202626)]$ |
16704.be2 |
16704db1 |
16704.be |
16704db |
$2$ |
$7$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{25} \cdot 3^{13} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$4872$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$43008$ |
$1.593718$ |
$-117649/8118144$ |
$1.24364$ |
$4.36397$ |
$[0, 0, 0, -588, 1895056]$ |
\(y^2=x^3-588x+1895056\) |
7.24.0.a.1, 168.48.0.?, 696.2.0.?, 812.48.0.?, 4872.96.2.? |
$[]$ |
16704.bh2 |
16704bh1 |
16704.bh |
16704bh |
$2$ |
$7$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{25} \cdot 3^{13} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$4872$ |
$96$ |
$2$ |
$2.730717426$ |
$1$ |
|
$2$ |
$43008$ |
$1.593718$ |
$-117649/8118144$ |
$1.24364$ |
$4.36397$ |
$[0, 0, 0, -588, -1895056]$ |
\(y^2=x^3-588x-1895056\) |
7.24.0.a.1, 168.48.0.?, 406.48.0.?, 696.2.0.?, 4872.96.2.? |
$[(229, 3159)]$ |
21054.m2 |
21054n1 |
21054.m |
21054n |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 29 \) |
\( - 2^{7} \cdot 3^{7} \cdot 11^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$53592$ |
$96$ |
$2$ |
$0.914550737$ |
$1$ |
|
$4$ |
$39200$ |
$1.203640$ |
$-117649/8118144$ |
$1.24364$ |
$3.79229$ |
$[1, 0, 1, -124, -182470]$ |
\(y^2+xy+y=x^3-124x-182470\) |
7.24.0.a.1, 77.48.0.?, 696.2.0.?, 4872.48.2.?, 53592.96.2.? |
$[(142, 1562)]$ |
25578.k2 |
25578i1 |
25578.k |
25578i |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 29 \) |
\( - 2^{7} \cdot 3^{13} \cdot 7^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$4872$ |
$96$ |
$2$ |
$2.218777258$ |
$1$ |
|
$4$ |
$84672$ |
$1.526953$ |
$-117649/8118144$ |
$1.24364$ |
$4.10183$ |
$[1, -1, 0, -450, 1269652]$ |
\(y^2+xy=x^3-x^2-450x+1269652\) |
7.24.0.a.1, 21.48.0-7.a.1.1, 696.2.0.?, 1624.48.0.?, 4872.96.2.? |
$[(-109, 176)]$ |
29406.j2 |
29406i1 |
29406.j |
29406i |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 29 \) |
\( - 2^{7} \cdot 3^{7} \cdot 13^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$63336$ |
$96$ |
$2$ |
$0.715519052$ |
$1$ |
|
$4$ |
$65856$ |
$1.287167$ |
$-117649/8118144$ |
$1.24364$ |
$3.76657$ |
$[1, 0, 1, -173, 301160]$ |
\(y^2+xy+y=x^3-173x+301160\) |
7.24.0.a.1, 91.48.0.?, 696.2.0.?, 4872.48.2.?, 63336.96.2.? |
$[(66, 727)]$ |
34800.dc2 |
34800dg1 |
34800.dc |
34800dg |
$2$ |
$7$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 29 \) |
\( - 2^{19} \cdot 3^{7} \cdot 5^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$24360$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$94080$ |
$1.502558$ |
$-117649/8118144$ |
$1.24364$ |
$3.95307$ |
$[0, 1, 0, -408, -1096812]$ |
\(y^2=x^3+x^2-408x-1096812\) |
7.24.0.a.1, 140.48.0.?, 696.2.0.?, 4872.48.2.?, 24360.96.2.? |
$[]$ |
40368.bh2 |
40368bf1 |
40368.bh |
40368bf |
$2$ |
$7$ |
\( 2^{4} \cdot 3 \cdot 29^{2} \) |
\( - 2^{19} \cdot 3^{7} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$4872$ |
$96$ |
$2$ |
$1.125659851$ |
$1$ |
|
$4$ |
$564480$ |
$2.381485$ |
$-117649/8118144$ |
$1.24364$ |
$4.89222$ |
$[0, 1, 0, -13736, -213979212]$ |
\(y^2=x^3+x^2-13736x-213979212\) |
7.24.0.a.1, 168.48.0.?, 696.2.0.?, 812.48.0.?, 4872.96.2.? |
$[(628, 5046)]$ |
50286.p2 |
50286n1 |
50286.p |
50286n |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 17^{2} \cdot 29 \) |
\( - 2^{7} \cdot 3^{7} \cdot 17^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$82824$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$141120$ |
$1.421299$ |
$-117649/8118144$ |
$1.24364$ |
$3.72857$ |
$[1, 1, 1, -295, 673373]$ |
\(y^2+xy+y=x^3+x^2-295x+673373\) |
7.24.0.a.1, 119.48.0.?, 696.2.0.?, 4872.48.2.?, 82824.96.2.? |
$[]$ |
62814.b2 |
62814d1 |
62814.b |
62814d |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 29 \) |
\( - 2^{7} \cdot 3^{7} \cdot 19^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$92568$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$201096$ |
$1.476912$ |
$-117649/8118144$ |
$1.24364$ |
$3.71390$ |
$[1, 1, 0, -368, -940416]$ |
\(y^2+xy=x^3+x^2-368x-940416\) |
7.24.0.a.1, 133.48.0.?, 696.2.0.?, 4872.48.2.?, 92568.96.2.? |
$[]$ |
63162.bz2 |
63162ck1 |
63162.bz |
63162ck |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 29 \) |
\( - 2^{7} \cdot 3^{13} \cdot 11^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$53592$ |
$96$ |
$2$ |
$1.131450086$ |
$1$ |
|
$4$ |
$313600$ |
$1.752945$ |
$-117649/8118144$ |
$1.24364$ |
$4.01172$ |
$[1, -1, 1, -1112, 4926683]$ |
\(y^2+xy+y=x^3-x^2-1112x+4926683\) |
7.24.0.a.1, 231.48.0.?, 696.2.0.?, 4872.48.2.?, 17864.48.0.?, $\ldots$ |
$[(-63, 2209)]$ |
68208.cn2 |
68208cq1 |
68208.cn |
68208cq |
$2$ |
$7$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( - 2^{19} \cdot 3^{7} \cdot 7^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$4872$ |
$96$ |
$2$ |
$0.962480940$ |
$1$ |
|
$4$ |
$254016$ |
$1.670794$ |
$-117649/8118144$ |
$1.24364$ |
$3.89545$ |
$[0, 1, 0, -800, 3009012]$ |
\(y^2=x^3+x^2-800x+3009012\) |
7.24.0.a.1, 28.48.0-7.a.1.2, 696.2.0.?, 4872.96.2.? |
$[(-38, 1728)]$ |
88218.bt2 |
88218bw1 |
88218.bt |
88218bw |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 29 \) |
\( - 2^{7} \cdot 3^{13} \cdot 13^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$63336$ |
$96$ |
$2$ |
$1.852306214$ |
$1$ |
|
$2$ |
$526848$ |
$1.836472$ |
$-117649/8118144$ |
$1.24364$ |
$3.98204$ |
$[1, -1, 1, -1553, -8131327]$ |
\(y^2+xy+y=x^3-x^2-1553x-8131327\) |
7.24.0.a.1, 273.48.0.?, 696.2.0.?, 4872.48.2.?, 21112.48.0.?, $\ldots$ |
$[(309, 4408)]$ |
92046.bh2 |
92046bf1 |
92046.bh |
92046bf |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 23^{2} \cdot 29 \) |
\( - 2^{7} \cdot 3^{7} \cdot 23^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$112056$ |
$96$ |
$2$ |
$0.669341771$ |
$1$ |
|
$4$ |
$344960$ |
$1.572439$ |
$-117649/8118144$ |
$1.24364$ |
$3.69004$ |
$[1, 0, 0, -540, -1667952]$ |
\(y^2+xy=x^3-540x-1667952\) |
7.24.0.a.1, 161.48.0.?, 696.2.0.?, 4872.48.2.?, 112056.96.2.? |
$[(228, 3060)]$ |
104400.dy2 |
104400dr1 |
104400.dy |
104400dr |
$2$ |
$7$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 29 \) |
\( - 2^{19} \cdot 3^{13} \cdot 5^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$24360$ |
$96$ |
$2$ |
$3.538290513$ |
$1$ |
|
$2$ |
$752640$ |
$2.051865$ |
$-117649/8118144$ |
$1.24364$ |
$4.14767$ |
$[0, 0, 0, -3675, 29610250]$ |
\(y^2=x^3-3675x+29610250\) |
7.24.0.a.1, 420.48.0.?, 696.2.0.?, 4872.48.2.?, 8120.48.0.?, $\ldots$ |
$[(1181, 40896)]$ |
121104.bz2 |
121104bt1 |
121104.bz |
121104bt |
$2$ |
$7$ |
\( 2^{4} \cdot 3^{2} \cdot 29^{2} \) |
\( - 2^{19} \cdot 3^{13} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$4872$ |
$96$ |
$2$ |
$4.321414957$ |
$1$ |
|
$2$ |
$4515840$ |
$2.930794$ |
$-117649/8118144$ |
$1.24364$ |
$4.99620$ |
$[0, 0, 0, -123627, 5777315098]$ |
\(y^2=x^3-123627x+5777315098\) |
7.24.0.a.1, 56.48.0-7.a.1.6, 696.2.0.?, 2436.48.0.?, 4872.96.2.? |
$[(87029, 25674048)]$ |
126150.da2 |
126150cr1 |
126150.da |
126150cr |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 29^{2} \) |
\( - 2^{7} \cdot 3^{7} \cdot 5^{6} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$24360$ |
$96$ |
$2$ |
$0.467703441$ |
$1$ |
|
$6$ |
$3292800$ |
$2.493057$ |
$-117649/8118144$ |
$1.24364$ |
$4.53161$ |
$[1, 0, 0, -21463, 417917417]$ |
\(y^2+xy=x^3-21463x+417917417\) |
7.24.0.a.1, 696.2.0.?, 840.48.0.?, 1015.48.0.?, 4872.48.2.?, $\ldots$ |
$[(476, 22469)]$ |
139200.cv2 |
139200ej1 |
139200.cv |
139200ej |
$2$ |
$7$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 29 \) |
\( - 2^{25} \cdot 3^{7} \cdot 5^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$24360$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$752640$ |
$1.849131$ |
$-117649/8118144$ |
$1.24364$ |
$3.84151$ |
$[0, -1, 0, -1633, -8772863]$ |
\(y^2=x^3-x^2-1633x-8772863\) |
7.24.0.a.1, 280.48.0.?, 696.2.0.?, 4872.48.2.?, 12180.48.0.?, $\ldots$ |
$[]$ |
139200.gz2 |
139200gn1 |
139200.gz |
139200gn |
$2$ |
$7$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 29 \) |
\( - 2^{25} \cdot 3^{7} \cdot 5^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$24360$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$752640$ |
$1.849131$ |
$-117649/8118144$ |
$1.24364$ |
$3.84151$ |
$[0, 1, 0, -1633, 8772863]$ |
\(y^2=x^3+x^2-1633x+8772863\) |
7.24.0.a.1, 280.48.0.?, 696.2.0.?, 4872.48.2.?, 6090.48.0.?, $\ldots$ |
$[]$ |
150858.h2 |
150858ba1 |
150858.h |
150858ba |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 17^{2} \cdot 29 \) |
\( - 2^{7} \cdot 3^{13} \cdot 17^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$82824$ |
$96$ |
$2$ |
$5.470436974$ |
$1$ |
|
$2$ |
$1128960$ |
$1.970604$ |
$-117649/8118144$ |
$1.24364$ |
$3.93785$ |
$[1, -1, 0, -2655, -18183731]$ |
\(y^2+xy=x^3-x^2-2655x-18183731\) |
7.24.0.a.1, 357.48.0.?, 696.2.0.?, 4872.48.2.?, 27608.48.0.?, $\ldots$ |
$[(4709, 320714)]$ |
161472.bg2 |
161472bu1 |
161472.bg |
161472bu |
$2$ |
$7$ |
\( 2^{6} \cdot 3 \cdot 29^{2} \) |
\( - 2^{25} \cdot 3^{7} \cdot 29^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$4872$ |
$96$ |
$2$ |
$1$ |
$9$ |
$3$ |
$0$ |
$4515840$ |
$2.728062$ |
$-117649/8118144$ |
$1.24364$ |
$4.67348$ |
$[0, -1, 0, -54945, -1711778751]$ |
\(y^2=x^3-x^2-54945x-1711778751\) |
7.24.0.a.1, 84.48.0.?, 696.2.0.?, 1624.48.0.?, 4872.96.2.? |
$[]$ |
161472.dh2 |
161472cr1 |
161472.dh |
161472cr |
$2$ |
$7$ |
\( 2^{6} \cdot 3 \cdot 29^{2} \) |
\( - 2^{25} \cdot 3^{7} \cdot 29^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$4872$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$4515840$ |
$2.728062$ |
$-117649/8118144$ |
$1.24364$ |
$4.67348$ |
$[0, 1, 0, -54945, 1711778751]$ |
\(y^2=x^3+x^2-54945x+1711778751\) |
7.24.0.a.1, 42.48.0-7.a.1.2, 696.2.0.?, 1624.48.0.?, 4872.96.2.? |
$[]$ |
167214.r2 |
167214e1 |
167214.r |
167214e |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 29 \cdot 31^{2} \) |
\( - 2^{7} \cdot 3^{7} \cdot 29 \cdot 31^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$151032$ |
$96$ |
$2$ |
$3.626387105$ |
$1$ |
|
$2$ |
$846720$ |
$1.721685$ |
$-117649/8118144$ |
$1.24364$ |
$3.65579$ |
$[1, 1, 1, -981, -4084293]$ |
\(y^2+xy+y=x^3+x^2-981x-4084293\) |
7.24.0.a.1, 217.48.0.?, 696.2.0.?, 4872.48.2.?, 151032.96.2.? |
$[(3035, 165696)]$ |
168432.j2 |
168432bj1 |
168432.j |
168432bj |
$2$ |
$7$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 29 \) |
\( - 2^{19} \cdot 3^{7} \cdot 11^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$53592$ |
$96$ |
$2$ |
$5.194688700$ |
$1$ |
|
$0$ |
$940800$ |
$1.896786$ |
$-117649/8118144$ |
$1.24364$ |
$3.82818$ |
$[0, -1, 0, -1976, 11678064]$ |
\(y^2=x^3-x^2-1976x+11678064\) |
7.24.0.a.1, 308.48.0.?, 696.2.0.?, 4872.48.2.?, 53592.96.2.? |
$[(1237/2, 50941/2)]$ |
188442.bx2 |
188442l1 |
188442.bx |
188442l |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 19^{2} \cdot 29 \) |
\( - 2^{7} \cdot 3^{13} \cdot 19^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$92568$ |
$96$ |
$2$ |
$2.183735401$ |
$1$ |
|
$2$ |
$1608768$ |
$2.026218$ |
$-117649/8118144$ |
$1.24364$ |
$3.92067$ |
$[1, -1, 1, -3317, 25387917]$ |
\(y^2+xy+y=x^3-x^2-3317x+25387917\) |
7.24.0.a.1, 399.48.0.?, 696.2.0.?, 4872.48.2.?, 30856.48.0.?, $\ldots$ |
$[(155, 5268)]$ |
204624.bz2 |
204624ba1 |
204624.bz |
204624ba |
$2$ |
$7$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 29 \) |
\( - 2^{19} \cdot 3^{13} \cdot 7^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$4872$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$2032128$ |
$2.220100$ |
$-117649/8118144$ |
$1.24364$ |
$4.08451$ |
$[0, 0, 0, -7203, -81250526]$ |
\(y^2=x^3-7203x-81250526\) |
7.24.0.a.1, 84.48.0.?, 696.2.0.?, 1624.48.0.?, 4872.96.2.? |
$[]$ |
213150.dm2 |
213150gz1 |
213150.dm |
213150gz |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( - 2^{7} \cdot 3^{7} \cdot 5^{6} \cdot 7^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$24360$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$1481760$ |
$1.782366$ |
$-117649/8118144$ |
$1.24364$ |
$3.64281$ |
$[1, 0, 1, -1251, -5877602]$ |
\(y^2+xy+y=x^3-1251x-5877602\) |
7.24.0.a.1, 35.48.0-7.a.1.2, 696.2.0.?, 4872.48.2.?, 24360.96.2.? |
$[]$ |
235248.bw2 |
235248bw1 |
235248.bw |
235248bw |
$2$ |
$7$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \cdot 29 \) |
\( - 2^{19} \cdot 3^{7} \cdot 13^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$63336$ |
$96$ |
$2$ |
$11.09416561$ |
$1$ |
|
$0$ |
$1580544$ |
$1.980312$ |
$-117649/8118144$ |
$1.24364$ |
$3.80581$ |
$[0, -1, 0, -2760, -19274256]$ |
\(y^2=x^3-x^2-2760x-19274256\) |
7.24.0.a.1, 364.48.0.?, 696.2.0.?, 4872.48.2.?, 63336.96.2.? |
$[(1410146/41, 1642618822/41)]$ |
238206.i2 |
238206i1 |
238206.i |
238206i |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 29 \cdot 37^{2} \) |
\( - 2^{7} \cdot 3^{7} \cdot 29 \cdot 37^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$180264$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$1446480$ |
$1.810150$ |
$-117649/8118144$ |
$1.24364$ |
$3.63704$ |
$[1, 0, 1, -1398, 6943624]$ |
\(y^2+xy+y=x^3-1398x+6943624\) |
7.24.0.a.1, 259.48.0.?, 696.2.0.?, 4872.48.2.?, 180264.96.2.? |
$[]$ |
247254.bp2 |
247254bp1 |
247254.bp |
247254bp |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 29^{2} \) |
\( - 2^{7} \cdot 3^{7} \cdot 7^{6} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$4872$ |
$96$ |
$2$ |
$3.473904616$ |
$1$ |
|
$2$ |
$8890560$ |
$2.661293$ |
$-117649/8118144$ |
$1.24364$ |
$4.44861$ |
$[1, 0, 1, -42068, -1146773806]$ |
\(y^2+xy+y=x^3-42068x-1146773806\) |
7.24.0.a.1, 168.48.0.?, 203.48.0.?, 696.2.0.?, 4872.96.2.? |
$[(4884, 336901)]$ |
272832.bj2 |
272832bj1 |
272832.bj |
272832bj |
$2$ |
$7$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( - 2^{25} \cdot 3^{7} \cdot 7^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$4872$ |
$96$ |
$2$ |
$6.057600944$ |
$1$ |
|
$0$ |
$2032128$ |
$2.017368$ |
$-117649/8118144$ |
$1.24364$ |
$3.79627$ |
$[0, -1, 0, -3201, 24075297]$ |
\(y^2=x^3-x^2-3201x+24075297\) |
7.24.0.a.1, 56.48.0-7.a.1.4, 696.2.0.?, 2436.48.0.?, 4872.96.2.? |
$[(-979/5, 614144/5)]$ |
272832.ff2 |
272832ff1 |
272832.ff |
272832ff |
$2$ |
$7$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( - 2^{25} \cdot 3^{7} \cdot 7^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$4872$ |
$96$ |
$2$ |
$2.261186708$ |
$1$ |
|
$2$ |
$2032128$ |
$2.017368$ |
$-117649/8118144$ |
$1.24364$ |
$3.79627$ |
$[0, 1, 0, -3201, -24075297]$ |
\(y^2=x^3+x^2-3201x-24075297\) |
7.24.0.a.1, 56.48.0-7.a.1.3, 696.2.0.?, 1218.48.0.?, 4872.96.2.? |
$[(459, 8448)]$ |
276138.m2 |
276138m1 |
276138.m |
276138m |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 29 \) |
\( - 2^{7} \cdot 3^{13} \cdot 23^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$112056$ |
$96$ |
$2$ |
$3.555876645$ |
$1$ |
|
$0$ |
$2759680$ |
$2.121746$ |
$-117649/8118144$ |
$1.24364$ |
$3.89259$ |
$[1, -1, 0, -4860, 45034704]$ |
\(y^2+xy=x^3-x^2-4860x+45034704\) |
7.24.0.a.1, 483.48.0.?, 696.2.0.?, 4872.48.2.?, 37352.48.0.?, $\ldots$ |
$[(-1149/2, 39237/2)]$ |
292494.p2 |
292494p1 |
292494.p |
292494p |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 29 \cdot 41^{2} \) |
\( - 2^{7} \cdot 3^{7} \cdot 29 \cdot 41^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$199752$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$1920800$ |
$1.861477$ |
$-117649/8118144$ |
$1.24364$ |
$3.62665$ |
$[1, 1, 1, -1716, 9447285]$ |
\(y^2+xy+y=x^3+x^2-1716x+9447285\) |
7.24.0.a.1, 287.48.0.?, 696.2.0.?, 4872.48.2.?, 199752.96.2.? |
$[]$ |
321726.c2 |
321726c1 |
321726.c |
321726c |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 29 \cdot 43^{2} \) |
\( - 2^{7} \cdot 3^{7} \cdot 29 \cdot 43^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$209496$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$2181480$ |
$1.885292$ |
$-117649/8118144$ |
$1.24364$ |
$3.62195$ |
$[1, 1, 0, -1887, -10899963]$ |
\(y^2+xy=x^3+x^2-1887x-10899963\) |
7.24.0.a.1, 301.48.0.?, 696.2.0.?, 4872.48.2.?, 209496.96.2.? |
$[]$ |
378450.w2 |
378450w1 |
378450.w |
378450w |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 29^{2} \) |
\( - 2^{7} \cdot 3^{13} \cdot 5^{6} \cdot 29^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$24360$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$26342400$ |
$3.042366$ |
$-117649/8118144$ |
$1.24364$ |
$4.65721$ |
$[1, -1, 0, -193167, -11283770259]$ |
\(y^2+xy=x^3-x^2-193167x-11283770259\) |
7.24.0.a.1, 280.48.0.?, 696.2.0.?, 3045.48.0.?, 4872.48.2.?, $\ldots$ |
$[]$ |
384366.t2 |
384366t1 |
384366.t |
384366t |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 29 \cdot 47^{2} \) |
\( - 2^{7} \cdot 3^{7} \cdot 29 \cdot 47^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$228984$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$2966264$ |
$1.929766$ |
$-117649/8118144$ |
$1.24364$ |
$3.61334$ |
$[1, 0, 0, -2255, -14232711]$ |
\(y^2+xy=x^3-2255x-14232711\) |
7.24.0.a.1, 329.48.0.?, 696.2.0.?, 4872.48.2.?, 228984.96.2.? |
$[]$ |
402288.cf2 |
402288cf1 |
402288.cf |
402288cf |
$2$ |
$7$ |
\( 2^{4} \cdot 3 \cdot 17^{2} \cdot 29 \) |
\( - 2^{19} \cdot 3^{7} \cdot 17^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$82824$ |
$96$ |
$2$ |
$3.115136379$ |
$1$ |
|
$2$ |
$3386880$ |
$2.114445$ |
$-117649/8118144$ |
$1.24364$ |
$3.77231$ |
$[0, 1, 0, -4720, -43105324]$ |
\(y^2=x^3+x^2-4720x-43105324\) |
7.24.0.a.1, 476.48.0.?, 696.2.0.?, 4872.48.2.?, 82824.96.2.? |
$[(530, 10176)]$ |
417600.fx2 |
417600fx1 |
417600.fx |
417600fx |
$2$ |
$7$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 29 \) |
\( - 2^{25} \cdot 3^{13} \cdot 5^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$24360$ |
$96$ |
$2$ |
$8.928258008$ |
$1$ |
|
$2$ |
$6021120$ |
$2.398438$ |
$-117649/8118144$ |
$1.24364$ |
$4.02474$ |
$[0, 0, 0, -14700, -236882000]$ |
\(y^2=x^3-14700x-236882000\) |
7.24.0.a.1, 696.2.0.?, 840.48.0.?, 2030.48.0.?, 4872.48.2.?, $\ldots$ |
$[(202566, 91169536)]$ |
417600.jx2 |
417600jx1 |
417600.jx |
417600jx |
$2$ |
$7$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 29 \) |
\( - 2^{25} \cdot 3^{13} \cdot 5^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$24360$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$6021120$ |
$2.398438$ |
$-117649/8118144$ |
$1.24364$ |
$4.02474$ |
$[0, 0, 0, -14700, 236882000]$ |
\(y^2=x^3-14700x+236882000\) |
7.24.0.a.1, 696.2.0.?, 840.48.0.?, 4060.48.0.?, 4872.48.2.?, $\ldots$ |
$[]$ |