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.b1 |
174a1 |
174.b |
174a |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 29 \) |
\( - 2^{11} \cdot 3^{21} \cdot 29 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$696$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$1540$ |
$1.520357$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$8.05642$ |
$[1, 0, 1, -7705, 1226492]$ |
\(y^2+xy+y=x^3-7705x+1226492\) |
3.8.0-3.a.1.2, 696.16.0.? |
$[]$ |
522.m1 |
522m1 |
522.m |
522m |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 29 \) |
\( - 2^{11} \cdot 3^{27} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$696$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12320$ |
$2.069664$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$7.69539$ |
$[1, -1, 1, -69341, -33115291]$ |
\(y^2+xy+y=x^3-x^2-69341x-33115291\) |
3.8.0-3.a.1.1, 696.16.0.? |
$[]$ |
1392.b1 |
1392i1 |
1392.b |
1392i |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 29 \) |
\( - 2^{23} \cdot 3^{21} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$696$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$36960$ |
$2.213505$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$6.89111$ |
$[0, -1, 0, -123272, -78495504]$ |
\(y^2=x^3-x^2-123272x-78495504\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 696.16.0.? |
$[]$ |
4176.bd1 |
4176bh1 |
4176.bd |
4176bh |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 29 \) |
\( - 2^{23} \cdot 3^{27} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$696$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$295680$ |
$2.762810$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$6.77369$ |
$[0, 0, 0, -1109451, 2120488058]$ |
\(y^2=x^3-1109451x+2120488058\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 696.16.0.? |
$[]$ |
4350.o1 |
4350q1 |
4350.o |
4350q |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 29 \) |
\( - 2^{11} \cdot 3^{21} \cdot 5^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3480$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$166320$ |
$2.325077$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$6.11370$ |
$[1, 1, 1, -192613, 153311531]$ |
\(y^2+xy+y=x^3+x^2-192613x+153311531\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 696.8.0.?, 3480.16.0.? |
$[]$ |
5046.i1 |
5046i1 |
5046.i |
5046i |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 29^{2} \) |
\( - 2^{11} \cdot 3^{21} \cdot 29^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$696$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1293600$ |
$3.204006$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$7.24428$ |
$[1, 1, 1, -6479502, 29925878475]$ |
\(y^2+xy+y=x^3+x^2-6479502x+29925878475\) |
3.4.0.a.1, 24.8.0-3.a.1.5, 87.8.0.?, 696.16.0.? |
$[]$ |
5568.q1 |
5568g1 |
5568.q |
5568g |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 29 \) |
\( - 2^{29} \cdot 3^{21} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$696$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$295680$ |
$2.560078$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$6.26568$ |
$[0, -1, 0, -493089, 628457121]$ |
\(y^2=x^3-x^2-493089x+628457121\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 174.8.0.?, 696.16.0.? |
$[]$ |
5568.bh1 |
5568bi1 |
5568.bh |
5568bi |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 29 \) |
\( - 2^{29} \cdot 3^{21} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$696$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$295680$ |
$2.560078$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$6.26568$ |
$[0, 1, 0, -493089, -628457121]$ |
\(y^2=x^3+x^2-493089x-628457121\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 348.8.0.?, 696.16.0.? |
$[]$ |
8526.f1 |
8526e1 |
8526.f |
8526e |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( - 2^{11} \cdot 3^{21} \cdot 7^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4872$ |
$16$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$360360$ |
$2.493313$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$5.88219$ |
$[1, 1, 0, -377521, -421064363]$ |
\(y^2+xy=x^3+x^2-377521x-421064363\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 696.8.0.?, 4872.16.0.? |
$[]$ |
13050.a1 |
13050p1 |
13050.a |
13050p |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 29 \) |
\( - 2^{11} \cdot 3^{27} \cdot 5^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3480$ |
$16$ |
$0$ |
$10.95344949$ |
$1$ |
|
$0$ |
$1330560$ |
$2.874382$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$6.10052$ |
$[1, -1, 0, -1733517, -4141144859]$ |
\(y^2+xy=x^3-x^2-1733517x-4141144859\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 696.8.0.?, 3480.16.0.? |
$[(41305025/109, 228839883416/109)]$ |
15138.o1 |
15138i1 |
15138.o |
15138i |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 29^{2} \) |
\( - 2^{11} \cdot 3^{27} \cdot 29^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$696$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$10348800$ |
$3.753311$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$7.10226$ |
$[1, -1, 0, -58315518, -808057034348]$ |
\(y^2+xy=x^3-x^2-58315518x-808057034348\) |
3.4.0.a.1, 24.8.0-3.a.1.6, 87.8.0.?, 696.16.0.? |
$[]$ |
16704.e1 |
16704cv1 |
16704.e |
16704cv |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{29} \cdot 3^{27} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$696$ |
$16$ |
$0$ |
$3.203778858$ |
$1$ |
|
$2$ |
$2365440$ |
$3.109383$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$6.23566$ |
$[0, 0, 0, -4437804, 16963904464]$ |
\(y^2=x^3-4437804x+16963904464\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 348.8.0.?, 696.16.0.? |
$[(650, 119808)]$ |
16704.p1 |
16704bc1 |
16704.p |
16704bc |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{29} \cdot 3^{27} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$696$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$2365440$ |
$3.109383$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$6.23566$ |
$[0, 0, 0, -4437804, -16963904464]$ |
\(y^2=x^3-4437804x-16963904464\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 174.8.0.?, 696.16.0.? |
$[]$ |
21054.bc1 |
21054bh1 |
21054.bc |
21054bh |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 29 \) |
\( - 2^{11} \cdot 3^{21} \cdot 11^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7656$ |
$16$ |
$0$ |
$0.209640478$ |
$1$ |
|
$10$ |
$1663200$ |
$2.719303$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$5.62047$ |
$[1, 0, 0, -932247, -1633393431]$ |
\(y^2+xy=x^3-932247x-1633393431\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 696.8.0.?, 7656.16.0.? |
$[(7974, 701685)]$ |
25578.bb1 |
25578bx1 |
25578.bb |
25578bx |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 29 \) |
\( - 2^{11} \cdot 3^{27} \cdot 7^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4872$ |
$16$ |
$0$ |
$1.488448261$ |
$1$ |
|
$4$ |
$2882880$ |
$3.042618$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$5.89494$ |
$[1, -1, 1, -3397694, 11365340109]$ |
\(y^2+xy+y=x^3-x^2-3397694x+11365340109\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 696.8.0.?, 4872.16.0.? |
$[(6647, 528117)]$ |
29406.bc1 |
29406v1 |
29406.bc |
29406v |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 29 \) |
\( - 2^{11} \cdot 3^{21} \cdot 13^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$9048$ |
$16$ |
$0$ |
$0.181240439$ |
$1$ |
|
$8$ |
$3326400$ |
$2.802830$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$5.53538$ |
$[1, 0, 0, -1302064, 2695905536]$ |
\(y^2+xy=x^3-1302064x+2695905536\) |
3.4.0.a.1, 39.8.0-3.a.1.1, 696.8.0.?, 9048.16.0.? |
$[(-1000, 55256)]$ |
34800.dw1 |
34800dc1 |
34800.dw |
34800dc |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 29 \) |
\( - 2^{23} \cdot 3^{21} \cdot 5^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3480$ |
$16$ |
$0$ |
$1.997367187$ |
$1$ |
|
$4$ |
$3991680$ |
$3.018223$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$5.69339$ |
$[0, 1, 0, -3081808, -9818101612]$ |
\(y^2=x^3+x^2-3081808x-9818101612\) |
3.4.0.a.1, 60.8.0-3.a.1.2, 696.8.0.?, 3480.16.0.? |
$[(61154, 15116544)]$ |
40368.bb1 |
40368bj1 |
40368.bb |
40368bj |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 29^{2} \) |
\( - 2^{23} \cdot 3^{21} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$696$ |
$16$ |
$0$ |
$1.177256178$ |
$1$ |
|
$4$ |
$31046400$ |
$3.897152$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$6.60819$ |
$[0, 1, 0, -103672032, -1915463566476]$ |
\(y^2=x^3+x^2-103672032x-1915463566476\) |
3.4.0.a.1, 24.8.0-3.a.1.7, 348.8.0.?, 696.16.0.? |
$[(33978, 5812992)]$ |
50286.f1 |
50286e1 |
50286.f |
50286e |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 17^{2} \cdot 29 \) |
\( - 2^{11} \cdot 3^{21} \cdot 17^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$11832$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7761600$ |
$2.936962$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$5.40972$ |
$[1, 1, 0, -2226606, 6027983028]$ |
\(y^2+xy=x^3+x^2-2226606x+6027983028\) |
3.4.0.a.1, 51.8.0-3.a.1.2, 696.8.0.?, 11832.16.0.? |
$[]$ |
62814.l1 |
62814p1 |
62814.l |
62814p |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 29 \) |
\( - 2^{11} \cdot 3^{21} \cdot 19^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$13224$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$11060280$ |
$2.992577$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$5.36120$ |
$[1, 1, 1, -2781332, -8418073003]$ |
\(y^2+xy+y=x^3+x^2-2781332x-8418073003\) |
3.4.0.a.1, 57.8.0-3.a.1.1, 696.8.0.?, 13224.16.0.? |
$[]$ |
63162.z1 |
63162y1 |
63162.z |
63162y |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 29 \) |
\( - 2^{11} \cdot 3^{27} \cdot 11^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7656$ |
$16$ |
$0$ |
$16.66063019$ |
$1$ |
|
$0$ |
$13305600$ |
$3.268612$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$5.65819$ |
$[1, -1, 0, -8390223, 44101622637]$ |
\(y^2+xy=x^3-x^2-8390223x+44101622637\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 696.8.0.?, 7656.16.0.? |
$[(233139963/317, 6100398134799/317)]$ |
68208.cv1 |
68208cn1 |
68208.cv |
68208cn |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( - 2^{23} \cdot 3^{21} \cdot 7^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4872$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8648640$ |
$3.186459$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$5.53055$ |
$[0, 1, 0, -6040344, 26936038548]$ |
\(y^2=x^3+x^2-6040344x+26936038548\) |
3.4.0.a.1, 84.8.0.?, 696.8.0.?, 4872.16.0.? |
$[]$ |
88218.d1 |
88218be1 |
88218.d |
88218be |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 29 \) |
\( - 2^{11} \cdot 3^{27} \cdot 13^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$9048$ |
$16$ |
$0$ |
$18.96783049$ |
$1$ |
|
$0$ |
$26611200$ |
$3.352139$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$5.58020$ |
$[1, -1, 0, -11718576, -72789449472]$ |
\(y^2+xy=x^3-x^2-11718576x-72789449472\) |
3.4.0.a.1, 39.8.0-3.a.1.2, 696.8.0.?, 9048.16.0.? |
$[(4409192823/878, 145228291794561/878)]$ |
92046.m1 |
92046m1 |
92046.m |
92046m |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 23^{2} \cdot 29 \) |
\( - 2^{11} \cdot 3^{21} \cdot 23^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$16008$ |
$16$ |
$0$ |
$2.219163259$ |
$1$ |
|
$0$ |
$19514880$ |
$3.088104$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$5.28226$ |
$[1, 0, 1, -4075692, -14930882582]$ |
\(y^2+xy+y=x^3-4075692x-14930882582\) |
3.4.0.a.1, 69.8.0-3.a.1.2, 696.8.0.?, 16008.16.0.? |
$[(16391/2, 1526169/2)]$ |
104400.gf1 |
104400ff1 |
104400.gf |
104400ff |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 29 \) |
\( - 2^{23} \cdot 3^{27} \cdot 5^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3480$ |
$16$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$31933440$ |
$3.567528$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$5.72254$ |
$[0, 0, 0, -27736275, 265061007250]$ |
\(y^2=x^3-27736275x+265061007250\) |
3.4.0.a.1, 60.8.0-3.a.1.1, 696.8.0.?, 3480.16.0.? |
$[]$ |
121104.cp1 |
121104ce1 |
121104.cp |
121104ce |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 29^{2} \) |
\( - 2^{23} \cdot 3^{27} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$696$ |
$16$ |
$0$ |
$13.25885141$ |
$1$ |
|
$0$ |
$248371200$ |
$4.446457$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$6.55110$ |
$[0, 0, 0, -933048291, 51716583246562]$ |
\(y^2=x^3-933048291x+51716583246562\) |
3.4.0.a.1, 24.8.0-3.a.1.8, 348.8.0.?, 696.16.0.? |
$[(-49180897/61, 1783496836854/61)]$ |
126150.v1 |
126150be1 |
126150.v |
126150be |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 29^{2} \) |
\( - 2^{11} \cdot 3^{21} \cdot 5^{6} \cdot 29^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3480$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$139708800$ |
$4.008720$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$6.08110$ |
$[1, 0, 1, -161987551, 3741058784498]$ |
\(y^2+xy+y=x^3-161987551x+3741058784498\) |
3.4.0.a.1, 120.8.0.?, 435.8.0.?, 696.8.0.?, 3480.16.0.? |
$[]$ |
139200.ex1 |
139200fa1 |
139200.ex |
139200fa |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 29 \) |
\( - 2^{29} \cdot 3^{21} \cdot 5^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3480$ |
$16$ |
$0$ |
$59.10196581$ |
$1$ |
|
$0$ |
$31933440$ |
$3.364796$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$5.37813$ |
$[0, -1, 0, -12327233, -78532485663]$ |
\(y^2=x^3-x^2-12327233x-78532485663\) |
3.4.0.a.1, 120.8.0.?, 696.8.0.?, 1740.8.0.?, 3480.16.0.? |
$[(1798504839968141453559216901/480091373279, 60641024682738279243285341820369805140992/480091373279)]$ |
139200.ey1 |
139200fw1 |
139200.ey |
139200fw |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 29 \) |
\( - 2^{29} \cdot 3^{21} \cdot 5^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3480$ |
$16$ |
$0$ |
$0.635009576$ |
$1$ |
|
$4$ |
$31933440$ |
$3.364796$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$5.37813$ |
$[0, 1, 0, -12327233, 78532485663]$ |
\(y^2=x^3+x^2-12327233x+78532485663\) |
3.4.0.a.1, 120.8.0.?, 696.8.0.?, 870.8.0.?, 3480.16.0.? |
$[(2107, 248832)]$ |
150858.t1 |
150858b1 |
150858.t |
150858b |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 17^{2} \cdot 29 \) |
\( - 2^{11} \cdot 3^{27} \cdot 17^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$11832$ |
$16$ |
$0$ |
$4.622769346$ |
$1$ |
|
$2$ |
$62092800$ |
$3.486271$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$5.46410$ |
$[1, -1, 1, -20039459, -162775581213]$ |
\(y^2+xy+y=x^3-x^2-20039459x-162775581213\) |
3.4.0.a.1, 51.8.0-3.a.1.1, 696.8.0.?, 11832.16.0.? |
$[(439379, 291009978)]$ |
161472.br1 |
161472bz1 |
161472.br |
161472bz |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 29^{2} \) |
\( - 2^{29} \cdot 3^{21} \cdot 29^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$696$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$248371200$ |
$4.243729$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$6.19108$ |
$[0, -1, 0, -414688129, -15323293843679]$ |
\(y^2=x^3-x^2-414688129x-15323293843679\) |
3.4.0.a.1, 12.8.0-3.a.1.4, 696.16.0.? |
$[]$ |
161472.ds1 |
161472cx1 |
161472.ds |
161472cx |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 29^{2} \) |
\( - 2^{29} \cdot 3^{21} \cdot 29^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$696$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$248371200$ |
$4.243729$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$6.19108$ |
$[0, 1, 0, -414688129, 15323293843679]$ |
\(y^2=x^3+x^2-414688129x+15323293843679\) |
3.4.0.a.1, 6.8.0-3.a.1.2, 696.16.0.? |
$[]$ |
167214.b1 |
167214r1 |
167214.b |
167214r |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 29 \cdot 31^{2} \) |
\( - 2^{11} \cdot 3^{21} \cdot 29 \cdot 31^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$21576$ |
$16$ |
$0$ |
$45.25412764$ |
$1$ |
|
$0$ |
$46569600$ |
$3.237350$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$5.16898$ |
$[1, 1, 0, -7404044, -36560642736]$ |
\(y^2+xy=x^3+x^2-7404044x-36560642736\) |
3.4.0.a.1, 93.8.0.?, 696.8.0.?, 21576.16.0.? |
$[(922530333630190668349/444204747, 15239405016655137054465077244554/444204747)]$ |
168432.d1 |
168432bf1 |
168432.d |
168432bf |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 29 \) |
\( - 2^{23} \cdot 3^{21} \cdot 11^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7656$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$39916800$ |
$3.412453$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$5.34046$ |
$[0, -1, 0, -14915952, 104537179584]$ |
\(y^2=x^3-x^2-14915952x+104537179584\) |
3.4.0.a.1, 132.8.0.?, 696.8.0.?, 7656.16.0.? |
$[]$ |
188442.bc1 |
188442bq1 |
188442.bc |
188442bq |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 19^{2} \cdot 29 \) |
\( - 2^{11} \cdot 3^{27} \cdot 19^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$13224$ |
$16$ |
$0$ |
$36.86502878$ |
$1$ |
|
$0$ |
$88482240$ |
$3.541882$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$5.41898$ |
$[1, -1, 0, -25031988, 227262939088]$ |
\(y^2+xy=x^3-x^2-25031988x+227262939088\) |
3.4.0.a.1, 57.8.0-3.a.1.2, 696.8.0.?, 13224.16.0.? |
$[(4174637220961332479/31634810, 13929128102578391796028690147/31634810)]$ |
204624.w1 |
204624k1 |
204624.w |
204624k |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 29 \) |
\( - 2^{23} \cdot 3^{27} \cdot 7^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4872$ |
$16$ |
$0$ |
$38.72753892$ |
$1$ |
|
$0$ |
$69189120$ |
$3.735764$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$5.57272$ |
$[0, 0, 0, -54363099, -727327403894]$ |
\(y^2=x^3-54363099x-727327403894\) |
3.4.0.a.1, 84.8.0.?, 696.8.0.?, 4872.16.0.? |
$[(5171003490402575477/5010091, 11750756354097808237153530624/5010091)]$ |
213150.ks1 |
213150cn1 |
213150.ks |
213150cn |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( - 2^{11} \cdot 3^{21} \cdot 5^{6} \cdot 7^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$24360$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$38918880$ |
$3.298031$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$5.12607$ |
$[1, 0, 0, -9438038, -52614169308]$ |
\(y^2+xy=x^3-9438038x-52614169308\) |
3.4.0.a.1, 105.8.0.?, 696.8.0.?, 24360.16.0.? |
$[]$ |
235248.ct1 |
235248ct1 |
235248.ct |
235248ct |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \cdot 29 \) |
\( - 2^{23} \cdot 3^{21} \cdot 13^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$9048$ |
$16$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$79833600$ |
$3.495979$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$5.27724$ |
$[0, -1, 0, -20833024, -172537954304]$ |
\(y^2=x^3-x^2-20833024x-172537954304\) |
3.4.0.a.1, 156.8.0.?, 696.8.0.?, 9048.16.0.? |
$[]$ |
238206.y1 |
238206y1 |
238206.y |
238206y |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 29 \cdot 37^{2} \) |
\( - 2^{11} \cdot 3^{21} \cdot 29 \cdot 37^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$25752$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$79999920$ |
$3.325817$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$5.10699$ |
$[1, 0, 0, -10547489, 62157154377]$ |
\(y^2+xy=x^3-10547489x+62157154377\) |
3.4.0.a.1, 111.8.0.?, 696.8.0.?, 25752.16.0.? |
$[]$ |
247254.dm1 |
247254dm1 |
247254.dm |
247254dm |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 29^{2} \) |
\( - 2^{11} \cdot 3^{21} \cdot 7^{6} \cdot 29^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4872$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$302702400$ |
$4.176956$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$5.91414$ |
$[1, 0, 0, -317495599, -10265528803783]$ |
\(y^2+xy=x^3-317495599x-10265528803783\) |
3.4.0.a.1, 168.8.0.?, 609.8.0.?, 696.8.0.?, 4872.16.0.? |
$[]$ |
272832.m1 |
272832m1 |
272832.m |
272832m |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( - 2^{29} \cdot 3^{21} \cdot 7^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4872$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$69189120$ |
$3.533031$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$5.25027$ |
$[0, -1, 0, -24161377, 215512469761]$ |
\(y^2=x^3-x^2-24161377x+215512469761\) |
3.4.0.a.1, 168.8.0.?, 696.8.0.?, 2436.8.0.?, 4872.16.0.? |
$[]$ |
272832.ee1 |
272832ee1 |
272832.ee |
272832ee |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 29 \) |
\( - 2^{29} \cdot 3^{21} \cdot 7^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4872$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$69189120$ |
$3.533031$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$5.25027$ |
$[0, 1, 0, -24161377, -215512469761]$ |
\(y^2=x^3+x^2-24161377x-215512469761\) |
3.4.0.a.1, 168.8.0.?, 696.8.0.?, 1218.8.0.?, 4872.16.0.? |
$[]$ |
276138.bf1 |
276138bf1 |
276138.bf |
276138bf |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 23^{2} \cdot 29 \) |
\( - 2^{11} \cdot 3^{27} \cdot 23^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$16008$ |
$16$ |
$0$ |
$3.346970203$ |
$1$ |
|
$2$ |
$156119040$ |
$3.637409$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$5.34520$ |
$[1, -1, 1, -36681224, 403133829707]$ |
\(y^2+xy+y=x^3-x^2-36681224x+403133829707\) |
3.4.0.a.1, 69.8.0-3.a.1.1, 696.8.0.?, 16008.16.0.? |
$[(-4755, 687961)]$ |
292494.a1 |
292494a1 |
292494.a |
292494a |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 29 \cdot 41^{2} \) |
\( - 2^{11} \cdot 3^{21} \cdot 29 \cdot 41^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$28536$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$103672800$ |
$3.377144$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$5.07262$ |
$[1, 1, 0, -12951299, 84569926221]$ |
\(y^2+xy=x^3+x^2-12951299x+84569926221\) |
3.4.0.a.1, 123.8.0.?, 696.8.0.?, 28536.16.0.? |
$[]$ |
321726.i1 |
321726i1 |
321726.i |
321726i |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 29 \cdot 43^{2} \) |
\( - 2^{11} \cdot 3^{21} \cdot 29 \cdot 43^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$29928$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$122051160$ |
$3.400955$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$5.05705$ |
$[1, 1, 1, -14245659, -97571701911]$ |
\(y^2+xy+y=x^3+x^2-14245659x-97571701911\) |
3.4.0.a.1, 129.8.0.?, 696.8.0.?, 29928.16.0.? |
$[]$ |
378450.cq1 |
378450cq1 |
378450.cq |
378450cq |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 29^{2} \) |
\( - 2^{11} \cdot 3^{27} \cdot 5^{6} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3480$ |
$16$ |
$0$ |
$13.23887245$ |
$1$ |
|
$0$ |
$1117670400$ |
$4.558029$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$6.07417$ |
$[1, -1, 1, -1457887955, -101008587181453]$ |
\(y^2+xy+y=x^3-x^2-1457887955x-101008587181453\) |
3.4.0.a.1, 120.8.0.?, 435.8.0.?, 696.8.0.?, 3480.16.0.? |
$[(235515663/59, 2147626906934/59)]$ |
384366.m1 |
384366m1 |
384366.m |
384366m |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 29 \cdot 47^{2} \) |
\( - 2^{11} \cdot 3^{21} \cdot 29 \cdot 47^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$32712$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$162577800$ |
$3.445431$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$5.02859$ |
$[1, 0, 1, -17019287, -127406181958]$ |
\(y^2+xy+y=x^3-17019287x-127406181958\) |
3.4.0.a.1, 141.8.0.?, 696.8.0.?, 32712.16.0.? |
$[]$ |
402288.cp1 |
402288cp1 |
402288.cp |
402288cp |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 17^{2} \cdot 29 \) |
\( - 2^{23} \cdot 3^{21} \cdot 17^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$11832$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$186278400$ |
$3.630112$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$5.18256$ |
$[0, 1, 0, -35625704, -385862165196]$ |
\(y^2=x^3+x^2-35625704x-385862165196\) |
3.4.0.a.1, 204.8.0.?, 696.8.0.?, 11832.16.0.? |
$[]$ |
417600.e1 |
417600e1 |
417600.e |
417600e |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 29 \) |
\( - 2^{29} \cdot 3^{27} \cdot 5^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3480$ |
$16$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$255467520$ |
$3.914101$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$5.43092$ |
$[0, 0, 0, -110945100, -2120488058000]$ |
\(y^2=x^3-110945100x-2120488058000\) |
3.4.0.a.1, 120.8.0.?, 696.8.0.?, 870.8.0.?, 3480.16.0.? |
$[]$ |
417600.pp1 |
417600pp1 |
417600.pp |
417600pp |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 29 \) |
\( - 2^{29} \cdot 3^{27} \cdot 5^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3480$ |
$16$ |
$0$ |
$30.14847137$ |
$1$ |
|
$0$ |
$255467520$ |
$3.914101$ |
$-50577879066661513/621261297432576$ |
$1.07229$ |
$5.43092$ |
$[0, 0, 0, -110945100, 2120488058000]$ |
\(y^2=x^3-110945100x+2120488058000\) |
3.4.0.a.1, 120.8.0.?, 696.8.0.?, 1740.8.0.?, 3480.16.0.? |
$[(-12007940656052096/999535, 1308775040710651188626292/999535)]$ |