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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
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 |
$504$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$126$ |
$0.818674$ |
$-1159088625/2097152$ |
$[1, -1, 0, -852, 19664]$ |
\(y^2+xy=x^3-x^2-852x+19664\) |
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.c2 |
162b3 |
162.c |
162b |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \) |
\( - 2^{21} \cdot 3^{4} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.8.0.1, 7.16.0.2 |
3B.1.1, 7B.2.3 |
$504$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$2$ |
$42$ |
$0.269368$ |
$-1159088625/2097152$ |
$[1, -1, 1, -95, -697]$ |
\(y^2+xy+y=x^3-x^2-95x-697\) |
3.8.0-3.a.1.2, 7.16.0-7.a.1.1, 8.2.0.a.1, 21.128.1-21.a.1.2, 24.16.0-24.a.1.8, $\ldots$ |
$[]$ |
1296.f2 |
1296k4 |
1296.f |
1296k |
$4$ |
$21$ |
\( 2^{4} \cdot 3^{4} \) |
\( - 2^{33} \cdot 3^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$504$ |
$768$ |
$21$ |
$1.026724489$ |
$1$ |
|
$4$ |
$3024$ |
$1.511822$ |
$-1159088625/2097152$ |
$[0, 0, 0, -13635, -1244862]$ |
\(y^2=x^3-13635x-1244862\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 12.8.0-3.a.1.2, 21.64.1.a.1, $\ldots$ |
$[(1761, 73728)]$ |
1296.g2 |
1296e3 |
1296.g |
1296e |
$4$ |
$21$ |
\( 2^{4} \cdot 3^{4} \) |
\( - 2^{33} \cdot 3^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$504$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$1008$ |
$0.962515$ |
$-1159088625/2097152$ |
$[0, 0, 0, -1515, 46106]$ |
\(y^2=x^3-1515x+46106\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 12.8.0-3.a.1.1, 21.64.1.a.1, $\ldots$ |
$[]$ |
4050.c2 |
4050f3 |
4050.c |
4050f |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{21} \cdot 3^{4} \cdot 5^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$2520$ |
$768$ |
$21$ |
$3.791272697$ |
$1$ |
|
$2$ |
$6048$ |
$1.074087$ |
$-1159088625/2097152$ |
$[1, -1, 0, -2367, -89459]$ |
\(y^2+xy=x^3-x^2-2367x-89459\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 15.8.0-3.a.1.2, 21.64.1.a.1, $\ldots$ |
$[(189, 2393)]$ |
4050.v2 |
4050bh4 |
4050.v |
4050bh |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{21} \cdot 3^{10} \cdot 5^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$2520$ |
$768$ |
$21$ |
$0.096941219$ |
$1$ |
|
$14$ |
$18144$ |
$1.623394$ |
$-1159088625/2097152$ |
$[1, -1, 1, -21305, 2436697]$ |
\(y^2+xy+y=x^3-x^2-21305x+2436697\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 15.8.0-3.a.1.1, 21.64.1.a.1, $\ldots$ |
$[(-41, 1820)]$ |
5184.o2 |
5184u3 |
5184.o |
5184u |
$4$ |
$21$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{39} \cdot 3^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$504$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$8064$ |
$1.309090$ |
$-1159088625/2097152$ |
$[0, 0, 0, -6060, 368848]$ |
\(y^2=x^3-6060x+368848\) |
3.4.0.a.1, 6.8.0-3.a.1.1, 7.8.0.a.1, 8.2.0.a.1, 14.16.0-7.a.1.1, $\ldots$ |
$[]$ |
5184.p2 |
5184bd4 |
5184.p |
5184bd |
$4$ |
$21$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{39} \cdot 3^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$504$ |
$768$ |
$21$ |
$6.303359192$ |
$1$ |
|
$0$ |
$24192$ |
$1.858395$ |
$-1159088625/2097152$ |
$[0, 0, 0, -54540, -9958896]$ |
\(y^2=x^3-54540x-9958896\) |
3.4.0.a.1, 6.8.0-3.a.1.2, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, $\ldots$ |
$[(108178/19, 5341184/19)]$ |
5184.q2 |
5184p4 |
5184.q |
5184p |
$4$ |
$21$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{39} \cdot 3^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$504$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$24192$ |
$1.858395$ |
$-1159088625/2097152$ |
$[0, 0, 0, -54540, 9958896]$ |
\(y^2=x^3-54540x+9958896\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 12.8.0-3.a.1.4, 21.64.1.a.1, $\ldots$ |
$[]$ |
5184.r2 |
5184a3 |
5184.r |
5184a |
$4$ |
$21$ |
\( 2^{6} \cdot 3^{4} \) |
\( - 2^{39} \cdot 3^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$504$ |
$768$ |
$21$ |
$4.057735803$ |
$1$ |
|
$2$ |
$8064$ |
$1.309090$ |
$-1159088625/2097152$ |
$[0, 0, 0, -6060, -368848]$ |
\(y^2=x^3-6060x-368848\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 12.8.0-3.a.1.3, 21.64.1.a.1, $\ldots$ |
$[(17558, 2326528)]$ |
7938.i2 |
7938m4 |
7938.i |
7938m |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( - 2^{21} \cdot 3^{10} \cdot 7^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$504$ |
$768$ |
$21$ |
$3.379012201$ |
$1$ |
|
$2$ |
$45360$ |
$1.791630$ |
$-1159088625/2097152$ |
$[1, -1, 0, -41757, -6661243]$ |
\(y^2+xy=x^3-x^2-41757x-6661243\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.128.1-21.a.1.1, 24.8.0.a.1, $\ldots$ |
$[(751, 19249)]$ |
7938.x2 |
7938u3 |
7938.x |
7938u |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \cdot 7^{2} \) |
\( - 2^{21} \cdot 3^{4} \cdot 7^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.16.0.1 |
3B, 7B.2.1 |
$504$ |
$768$ |
$21$ |
$0.239900864$ |
$1$ |
|
$6$ |
$15120$ |
$1.242323$ |
$-1159088625/2097152$ |
$[1, -1, 1, -4640, 248259]$ |
\(y^2+xy+y=x^3-x^2-4640x+248259\) |
3.4.0.a.1, 7.16.0-7.a.1.2, 8.2.0.a.1, 21.128.1-21.a.1.4, 24.8.0.a.1, $\ldots$ |
$[(93, 737)]$ |
19602.i2 |
19602d3 |
19602.i |
19602d |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{21} \cdot 3^{4} \cdot 11^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$5544$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$56700$ |
$1.468315$ |
$-1159088625/2097152$ |
$[1, -1, 0, -11457, 961725]$ |
\(y^2+xy=x^3-x^2-11457x+961725\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, 24.8.0.a.1, $\ldots$ |
$[]$ |
19602.v2 |
19602bf4 |
19602.v |
19602bf |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{21} \cdot 3^{10} \cdot 11^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$5544$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$170100$ |
$2.017620$ |
$-1159088625/2097152$ |
$[1, -1, 1, -103115, -25863461]$ |
\(y^2+xy+y=x^3-x^2-103115x-25863461\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, 24.8.0.a.1, $\ldots$ |
$[]$ |
27378.f2 |
27378b3 |
27378.f |
27378b |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \cdot 13^{2} \) |
\( - 2^{21} \cdot 3^{4} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$6552$ |
$768$ |
$21$ |
$9.004719249$ |
$1$ |
|
$0$ |
$96768$ |
$1.551844$ |
$-1159088625/2097152$ |
$[1, -1, 0, -16002, -1578732]$ |
\(y^2+xy=x^3-x^2-16002x-1578732\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, 24.8.0.a.1, $\ldots$ |
$[(81007/17, 18901836/17)]$ |
27378.p2 |
27378s4 |
27378.p |
27378s |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \cdot 13^{2} \) |
\( - 2^{21} \cdot 3^{10} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$6552$ |
$768$ |
$21$ |
$0.698763531$ |
$1$ |
|
$4$ |
$290304$ |
$2.101151$ |
$-1159088625/2097152$ |
$[1, -1, 1, -144020, 42769783]$ |
\(y^2+xy+y=x^3-x^2-144020x+42769783\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, 24.8.0.a.1, $\ldots$ |
$[(101, 5357)]$ |
32400.cm2 |
32400da4 |
32400.cm |
32400da |
$4$ |
$21$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{33} \cdot 3^{10} \cdot 5^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$2520$ |
$768$ |
$21$ |
$15.17630411$ |
$1$ |
|
$0$ |
$435456$ |
$2.316540$ |
$-1159088625/2097152$ |
$[0, 0, 0, -340875, -155607750]$ |
\(y^2=x^3-340875x-155607750\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, 24.8.0.a.1, $\ldots$ |
$[(34330015/109, 196333389350/109)]$ |
32400.cv2 |
32400bq3 |
32400.cv |
32400bq |
$4$ |
$21$ |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{33} \cdot 3^{4} \cdot 5^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$2520$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$145152$ |
$1.767235$ |
$-1159088625/2097152$ |
$[0, 0, 0, -37875, 5763250]$ |
\(y^2=x^3-37875x+5763250\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, 24.8.0.a.1, $\ldots$ |
$[]$ |
46818.d2 |
46818e4 |
46818.d |
46818e |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \cdot 17^{2} \) |
\( - 2^{21} \cdot 3^{10} \cdot 17^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$8568$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$635040$ |
$2.235279$ |
$-1159088625/2097152$ |
$[1, -1, 0, -246282, 95624180]$ |
\(y^2+xy=x^3-x^2-246282x+95624180\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, 24.8.0.a.1, $\ldots$ |
$[]$ |
46818.k2 |
46818h3 |
46818.k |
46818h |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \cdot 17^{2} \) |
\( - 2^{21} \cdot 3^{4} \cdot 17^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$8568$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$211680$ |
$1.685974$ |
$-1159088625/2097152$ |
$[1, -1, 1, -27365, -3532515]$ |
\(y^2+xy+y=x^3-x^2-27365x-3532515\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, 24.8.0.a.1, $\ldots$ |
$[]$ |
58482.g2 |
58482c3 |
58482.g |
58482c |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \cdot 19^{2} \) |
\( - 2^{21} \cdot 3^{4} \cdot 19^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$9576$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$301644$ |
$1.741587$ |
$-1159088625/2097152$ |
$[1, -1, 0, -34182, 4949812]$ |
\(y^2+xy=x^3-x^2-34182x+4949812\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, 24.8.0.a.1, $\ldots$ |
$[]$ |
58482.v2 |
58482z4 |
58482.v |
58482z |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \cdot 19^{2} \) |
\( - 2^{21} \cdot 3^{10} \cdot 19^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$9576$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$904932$ |
$2.290894$ |
$-1159088625/2097152$ |
$[1, -1, 1, -307640, -133337285]$ |
\(y^2+xy+y=x^3-x^2-307640x-133337285\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, 24.8.0.a.1, $\ldots$ |
$[]$ |
63504.bi2 |
63504co4 |
63504.bi |
63504co |
$4$ |
$21$ |
\( 2^{4} \cdot 3^{4} \cdot 7^{2} \) |
\( - 2^{33} \cdot 3^{10} \cdot 7^{6} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$504$ |
$768$ |
$21$ |
$7.124344409$ |
$1$ |
|
$4$ |
$1088640$ |
$2.484776$ |
$-1159088625/2097152$ |
$[0, 0, 0, -668115, 426987666]$ |
\(y^2=x^3-668115x+426987666\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, 24.8.0.a.1, $\ldots$ |
$[(3745/3, 401408/3), (4057, 253952)]$ |
63504.bo2 |
63504bg3 |
63504.bo |
63504bg |
$4$ |
$21$ |
\( 2^{4} \cdot 3^{4} \cdot 7^{2} \) |
\( - 2^{33} \cdot 3^{4} \cdot 7^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$504$ |
$768$ |
$21$ |
$12.32608738$ |
$1$ |
|
$0$ |
$362880$ |
$1.935471$ |
$-1159088625/2097152$ |
$[0, 0, 0, -74235, -15814358]$ |
\(y^2=x^3-74235x-15814358\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, 24.8.0.a.1, $\ldots$ |
$[(1051386/53, 442550458/53)]$ |
85698.e2 |
85698j4 |
85698.e |
85698j |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \cdot 23^{2} \) |
\( - 2^{21} \cdot 3^{10} \cdot 23^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$11592$ |
$768$ |
$21$ |
$19.26095667$ |
$1$ |
|
$0$ |
$1496880$ |
$2.386421$ |
$-1159088625/2097152$ |
$[1, -1, 0, -450807, -236547235]$ |
\(y^2+xy=x^3-x^2-450807x-236547235\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, 24.8.0.a.1, $\ldots$ |
$[(5160816539/614, 368689126957875/614)]$ |
85698.s2 |
85698m3 |
85698.s |
85698m |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \cdot 23^{2} \) |
\( - 2^{21} \cdot 3^{4} \cdot 23^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$11592$ |
$768$ |
$21$ |
$0.767260976$ |
$1$ |
|
$4$ |
$498960$ |
$1.837114$ |
$-1159088625/2097152$ |
$[1, -1, 1, -50090, 8777705]$ |
\(y^2+xy+y=x^3-x^2-50090x+8777705\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, 24.8.0.a.1, $\ldots$ |
$[(121, 2055)]$ |
129600.cd2 |
129600ef4 |
129600.cd |
129600ef |
$4$ |
$21$ |
\( 2^{6} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{39} \cdot 3^{10} \cdot 5^{6} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$2520$ |
$768$ |
$21$ |
$9.811249022$ |
$1$ |
|
$6$ |
$3483648$ |
$2.663113$ |
$-1159088625/2097152$ |
$[0, 0, 0, -1363500, 1244862000]$ |
\(y^2=x^3-1363500x+1244862000\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, 24.8.0.a.1, $\ldots$ |
$[(-1226, 32768), (-680, 43100)]$ |
129600.cy2 |
129600bh3 |
129600.cy |
129600bh |
$4$ |
$21$ |
\( 2^{6} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{39} \cdot 3^{4} \cdot 5^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$2520$ |
$768$ |
$21$ |
$16.50669280$ |
$1$ |
|
$0$ |
$1161216$ |
$2.113808$ |
$-1159088625/2097152$ |
$[0, 0, 0, -151500, -46106000]$ |
\(y^2=x^3-151500x-46106000\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, 24.8.0.a.1, $\ldots$ |
$[(73392165/37, 628728340375/37)]$ |
129600.gp2 |
129600fy3 |
129600.gp |
129600fy |
$4$ |
$21$ |
\( 2^{6} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{39} \cdot 3^{4} \cdot 5^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$2520$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$1161216$ |
$2.113808$ |
$-1159088625/2097152$ |
$[0, 0, 0, -151500, 46106000]$ |
\(y^2=x^3-151500x+46106000\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, 24.8.0.a.1, $\ldots$ |
$[]$ |
129600.hk2 |
129600iv4 |
129600.hk |
129600iv |
$4$ |
$21$ |
\( 2^{6} \cdot 3^{4} \cdot 5^{2} \) |
\( - 2^{39} \cdot 3^{10} \cdot 5^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$2520$ |
$768$ |
$21$ |
$11.19438641$ |
$1$ |
|
$0$ |
$3483648$ |
$2.663113$ |
$-1159088625/2097152$ |
$[0, 0, 0, -1363500, -1244862000]$ |
\(y^2=x^3-1363500x-1244862000\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, 24.8.0.a.1, $\ldots$ |
$[(2043420/37, 341562600/37)]$ |
136242.m2 |
136242bk3 |
136242.m |
136242bk |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \cdot 29^{2} \) |
\( - 2^{21} \cdot 3^{4} \cdot 29^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$14616$ |
$768$ |
$21$ |
$24.12128985$ |
$1$ |
|
$0$ |
$1016064$ |
$1.953016$ |
$-1159088625/2097152$ |
$[1, -1, 0, -79632, -17550080]$ |
\(y^2+xy=x^3-x^2-79632x-17550080\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, 24.8.0.a.1, $\ldots$ |
$[(734051666461/26463, 590748894901893577/26463)]$ |
136242.bj2 |
136242e4 |
136242.bj |
136242e |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \cdot 29^{2} \) |
\( - 2^{21} \cdot 3^{10} \cdot 29^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$14616$ |
$768$ |
$21$ |
$0.564851651$ |
$1$ |
|
$4$ |
$3048192$ |
$2.502323$ |
$-1159088625/2097152$ |
$[1, -1, 1, -716690, 474568849]$ |
\(y^2+xy+y=x^3-x^2-716690x+474568849\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, 24.8.0.a.1, $\ldots$ |
$[(3937, 240239)]$ |
155682.g2 |
155682o4 |
155682.g |
155682o |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \cdot 31^{2} \) |
\( - 2^{21} \cdot 3^{10} \cdot 31^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$15624$ |
$768$ |
$21$ |
$9.752350628$ |
$1$ |
|
$2$ |
$3810240$ |
$2.535667$ |
$-1159088625/2097152$ |
$[1, -1, 0, -818952, -579259072]$ |
\(y^2+xy=x^3-x^2-818952x-579259072\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, 24.8.0.a.1, $\ldots$ |
$[(532433, 388238695)]$ |
155682.v2 |
155682i3 |
155682.v |
155682i |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \cdot 31^{2} \) |
\( - 2^{21} \cdot 3^{4} \cdot 31^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$15624$ |
$768$ |
$21$ |
$1.129866133$ |
$1$ |
|
$4$ |
$1270080$ |
$1.986362$ |
$-1159088625/2097152$ |
$[1, -1, 1, -90995, 21484371]$ |
\(y^2+xy+y=x^3-x^2-90995x+21484371\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, 24.8.0.a.1, $\ldots$ |
$[(-333, 4010)]$ |
156816.bt2 |
156816f4 |
156816.bt |
156816f |
$4$ |
$21$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{33} \cdot 3^{10} \cdot 11^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$5544$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$4082400$ |
$2.710770$ |
$-1159088625/2097152$ |
$[0, 0, 0, -1649835, 1656911322]$ |
\(y^2=x^3-1649835x+1656911322\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, 24.8.0.a.1, $\ldots$ |
$[]$ |
156816.bw2 |
156816bk3 |
156816.bw |
156816bk |
$4$ |
$21$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{33} \cdot 3^{4} \cdot 11^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$5544$ |
$768$ |
$21$ |
$18.06816932$ |
$1$ |
|
$0$ |
$1360800$ |
$2.161465$ |
$-1159088625/2097152$ |
$[0, 0, 0, -183315, -61367086]$ |
\(y^2=x^3-183315x-61367086\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, 24.8.0.a.1, $\ldots$ |
$[(10411077977/1007, 1061336852062208/1007)]$ |
198450.ba2 |
198450gp3 |
198450.ba |
198450gp |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{21} \cdot 3^{4} \cdot 5^{6} \cdot 7^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$2520$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$2177280$ |
$2.047043$ |
$-1159088625/2097152$ |
$[1, -1, 0, -115992, 30916416]$ |
\(y^2+xy=x^3-x^2-115992x+30916416\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, 24.8.0.a.1, $\ldots$ |
$[]$ |
198450.hw2 |
198450v4 |
198450.hw |
198450v |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{21} \cdot 3^{10} \cdot 5^{6} \cdot 7^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$2520$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$6531840$ |
$2.596348$ |
$-1159088625/2097152$ |
$[1, -1, 1, -1043930, -833699303]$ |
\(y^2+xy+y=x^3-x^2-1043930x-833699303\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, 24.8.0.a.1, $\ldots$ |
$[]$ |
219024.bq2 |
219024bf3 |
219024.bq |
219024bf |
$4$ |
$21$ |
\( 2^{4} \cdot 3^{4} \cdot 13^{2} \) |
\( - 2^{33} \cdot 3^{4} \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$6552$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$2322432$ |
$2.244991$ |
$-1159088625/2097152$ |
$[0, 0, 0, -256035, 101294882]$ |
\(y^2=x^3-256035x+101294882\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, 24.8.0.a.1, $\ldots$ |
$[]$ |
219024.br2 |
219024e4 |
219024.br |
219024e |
$4$ |
$21$ |
\( 2^{4} \cdot 3^{4} \cdot 13^{2} \) |
\( - 2^{33} \cdot 3^{10} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$6552$ |
$768$ |
$21$ |
$12.62409912$ |
$1$ |
|
$0$ |
$6967296$ |
$2.794296$ |
$-1159088625/2097152$ |
$[0, 0, 0, -2304315, -2734961814]$ |
\(y^2=x^3-2304315x-2734961814\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, 24.8.0.a.1, $\ldots$ |
$[(25980279/89, 111447913590/89)]$ |
221778.h2 |
221778v3 |
221778.h |
221778v |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \cdot 37^{2} \) |
\( - 2^{21} \cdot 3^{4} \cdot 37^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$18648$ |
$768$ |
$21$ |
$23.98177169$ |
$1$ |
|
$0$ |
$2159136$ |
$2.074825$ |
$-1159088625/2097152$ |
$[1, -1, 0, -129627, -36458331]$ |
\(y^2+xy=x^3-x^2-129627x-36458331\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, 24.8.0.a.1, $\ldots$ |
$[(624393101839/36902, 18078055719187893/36902)]$ |
221778.q2 |
221778c4 |
221778.q |
221778c |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \cdot 37^{2} \) |
\( - 2^{21} \cdot 3^{10} \cdot 37^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$18648$ |
$768$ |
$21$ |
$2.096291315$ |
$1$ |
|
$2$ |
$6477408$ |
$2.624134$ |
$-1159088625/2097152$ |
$[1, -1, 1, -1166645, 985541581]$ |
\(y^2+xy+y=x^3-x^2-1166645x+985541581\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, 24.8.0.a.1, $\ldots$ |
$[(-601, 38632)]$ |
254016.du2 |
254016du4 |
254016.du |
254016du |
$4$ |
$21$ |
\( 2^{6} \cdot 3^{4} \cdot 7^{2} \) |
\( - 2^{39} \cdot 3^{10} \cdot 7^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$504$ |
$768$ |
$21$ |
$34.58934425$ |
$1$ |
|
$0$ |
$8709120$ |
$2.831348$ |
$-1159088625/2097152$ |
$[0, 0, 0, -2672460, -3415901328]$ |
\(y^2=x^3-2672460x-3415901328\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, 24.8.0.a.1, $\ldots$ |
$[(12755718394719412/1337961, 1395214642906393556560040/1337961)]$ |
254016.dv2 |
254016dv3 |
254016.dv |
254016dv |
$4$ |
$21$ |
\( 2^{6} \cdot 3^{4} \cdot 7^{2} \) |
\( - 2^{39} \cdot 3^{4} \cdot 7^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$504$ |
$768$ |
$21$ |
$18.41084023$ |
$1$ |
|
$0$ |
$2903040$ |
$2.282043$ |
$-1159088625/2097152$ |
$[0, 0, 0, -296940, -126514864]$ |
\(y^2=x^3-296940x-126514864\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 14.16.0-7.a.1.2, 21.64.1.a.1, $\ldots$ |
$[(1185661904/739, 39257935807580/739)]$ |
254016.eo2 |
254016eo4 |
254016.eo |
254016eo |
$4$ |
$21$ |
\( 2^{6} \cdot 3^{4} \cdot 7^{2} \) |
\( - 2^{39} \cdot 3^{10} \cdot 7^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$504$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$8709120$ |
$2.831348$ |
$-1159088625/2097152$ |
$[0, 0, 0, -2672460, 3415901328]$ |
\(y^2=x^3-2672460x+3415901328\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, 24.8.0.a.1, $\ldots$ |
$[]$ |
254016.ep2 |
254016ep3 |
254016.ep |
254016ep |
$4$ |
$21$ |
\( 2^{6} \cdot 3^{4} \cdot 7^{2} \) |
\( - 2^{39} \cdot 3^{4} \cdot 7^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$504$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$2903040$ |
$2.282043$ |
$-1159088625/2097152$ |
$[0, 0, 0, -296940, 126514864]$ |
\(y^2=x^3-296940x+126514864\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, 24.8.0.a.1, $\ldots$ |
$[]$ |
272322.h2 |
272322h4 |
272322.h |
272322h |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \cdot 41^{2} \) |
\( - 2^{21} \cdot 3^{10} \cdot 41^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$20664$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$8482320$ |
$2.675461$ |
$-1159088625/2097152$ |
$[1, -1, 0, -1432527, 1340938349]$ |
\(y^2+xy=x^3-x^2-1432527x+1340938349\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, 24.8.0.a.1, $\ldots$ |
$[]$ |
272322.x2 |
272322x3 |
272322.x |
272322x |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \cdot 41^{2} \) |
\( - 2^{21} \cdot 3^{4} \cdot 41^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$20664$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$2827440$ |
$2.126156$ |
$-1159088625/2097152$ |
$[1, -1, 1, -159170, -49611327]$ |
\(y^2+xy+y=x^3-x^2-159170x-49611327\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, 24.8.0.a.1, $\ldots$ |
$[]$ |
299538.d2 |
299538d3 |
299538.d |
299538d |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \cdot 43^{2} \) |
\( - 2^{21} \cdot 3^{4} \cdot 43^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$21672$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$3413340$ |
$2.149967$ |
$-1159088625/2097152$ |
$[1, -1, 0, -175077, 57321109]$ |
\(y^2+xy=x^3-x^2-175077x+57321109\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, 24.8.0.a.1, $\ldots$ |
$[]$ |
299538.t2 |
299538t4 |
299538.t |
299538t |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \cdot 43^{2} \) |
\( - 2^{21} \cdot 3^{10} \cdot 43^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$21672$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$10240020$ |
$2.699276$ |
$-1159088625/2097152$ |
$[1, -1, 1, -1575695, -1546094249]$ |
\(y^2+xy+y=x^3-x^2-1575695x-1546094249\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, 24.8.0.a.1, $\ldots$ |
$[]$ |