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 |
14450.a1 |
14450g4 |
14450.a |
14450g |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( 2 \cdot 5^{6} \cdot 17^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.4.0.1 |
2B, 3B |
$2040$ |
$96$ |
$1$ |
$3.360980532$ |
$1$ |
|
$2$ |
$497664$ |
$2.400814$ |
$159661140625/48275138$ |
$1.06848$ |
$5.47607$ |
$[1, 0, 1, -816576, -196331452]$ |
\(y^2+xy+y=x^3-816576x-196331452\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 24.24.0.y.1, $\ldots$ |
$[(1962, 74881)]$ |
14450.a2 |
14450g3 |
14450.a |
14450g |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{2} \cdot 5^{6} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.4.0.1 |
2B, 3B |
$2040$ |
$96$ |
$1$ |
$1.680490266$ |
$1$ |
|
$3$ |
$248832$ |
$2.054241$ |
$120920208625/19652$ |
$0.98564$ |
$5.44705$ |
$[1, 0, 1, -744326, -247195452]$ |
\(y^2+xy+y=x^3-744326x-247195452\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 24.24.0.bw.1, $\ldots$ |
$[(3322, 182576)]$ |
14450.a3 |
14450g2 |
14450.a |
14450g |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{3} \cdot 5^{6} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.4.0.1 |
2B, 3B |
$2040$ |
$96$ |
$1$ |
$1.120326844$ |
$1$ |
|
$8$ |
$165888$ |
$1.851507$ |
$8805624625/2312$ |
$0.96590$ |
$5.17355$ |
$[1, 0, 1, -310826, 66658548]$ |
\(y^2+xy+y=x^3-310826x+66658548\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 24.24.0.y.1, $\ldots$ |
$[(398, 2257)]$ |
14450.a4 |
14450g1 |
14450.a |
14450g |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{6} \cdot 5^{6} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.4.0.1 |
2B, 3B |
$2040$ |
$96$ |
$1$ |
$0.560163422$ |
$1$ |
|
$11$ |
$82944$ |
$1.504932$ |
$3048625/1088$ |
$0.90010$ |
$4.34163$ |
$[1, 0, 1, -21826, 766548]$ |
\(y^2+xy+y=x^3-21826x+766548\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 24.24.0.bw.1, $\ldots$ |
$[(-27, 1169)]$ |
14450.b1 |
14450p2 |
14450.b |
14450p |
$2$ |
$17$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{17} \cdot 5^{3} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$17$ |
17.72.1.2 |
17B.4.2 |
$680$ |
$576$ |
$17$ |
$11.35371364$ |
$1$ |
|
$0$ |
$208080$ |
$2.002991$ |
$-882216989/131072$ |
$0.95690$ |
$5.04471$ |
$[1, 0, 1, -190891, -36002922]$ |
\(y^2+xy+y=x^3-190891x-36002922\) |
17.72.1.b.2, 40.2.0.a.1, 85.288.5.?, 136.144.5.?, 680.576.17.? |
$[(147018/13, 45982377/13)]$ |
14450.b2 |
14450p1 |
14450.b |
14450p |
$2$ |
$17$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2 \cdot 5^{3} \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$17$ |
17.72.1.4 |
17B.4.6 |
$680$ |
$576$ |
$17$ |
$0.667865508$ |
$1$ |
|
$4$ |
$12240$ |
$0.586384$ |
$-297756989/2$ |
$0.98541$ |
$3.72429$ |
$[1, 0, 1, -3041, 64278]$ |
\(y^2+xy+y=x^3-3041x+64278\) |
17.72.1.b.1, 40.2.0.a.1, 85.288.5.?, 136.144.5.?, 680.576.17.? |
$[(32, -14)]$ |
14450.c1 |
14450k2 |
14450.c |
14450k |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{5} \cdot 5^{3} \cdot 17^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$680$ |
$48$ |
$1$ |
$0.562973399$ |
$1$ |
|
$14$ |
$8960$ |
$0.658530$ |
$-18170704189/32$ |
$0.99680$ |
$3.85773$ |
$[1, 1, 0, -4655, 120325]$ |
\(y^2+xy=x^3+x^2-4655x+120325\) |
5.6.0.a.1, 40.12.0.bx.2, 85.24.0.?, 680.48.1.? |
$[(35, 25), (155/2, -175/2)]$ |
14450.c2 |
14450k1 |
14450.c |
14450k |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2 \cdot 5^{3} \cdot 17^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$680$ |
$48$ |
$1$ |
$0.562973399$ |
$1$ |
|
$10$ |
$1792$ |
$-0.146189$ |
$1331/2$ |
$0.94388$ |
$2.19132$ |
$[1, 1, 0, 20, 50]$ |
\(y^2+xy=x^3+x^2+20x+50\) |
5.6.0.a.1, 40.12.0.bx.1, 85.24.0.?, 680.48.1.? |
$[(1, 8), (5, 15)]$ |
14450.d1 |
14450l2 |
14450.d |
14450l |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{3} \cdot 5^{4} \cdot 17^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.2 |
3B, 5B.4.2 |
$2040$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$30240$ |
$1.239813$ |
$-349938025/8$ |
$1.05078$ |
$4.50076$ |
$[1, 1, 0, -36275, -2674475]$ |
\(y^2+xy=x^3+x^2-36275x-2674475\) |
3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 15.96.1.a.1, 24.8.0.a.1, $\ldots$ |
$[]$ |
14450.d2 |
14450l3 |
14450.d |
14450l |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{5} \cdot 5^{8} \cdot 17^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.1 |
3B, 5B.4.1 |
$2040$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$50400$ |
$1.495226$ |
$-121945/32$ |
$0.94334$ |
$4.38067$ |
$[1, 1, 0, -21825, 1487125]$ |
\(y^2+xy=x^3+x^2-21825x+1487125\) |
3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 15.96.1.a.4, 24.8.0.a.1, $\ldots$ |
$[]$ |
14450.d3 |
14450l1 |
14450.d |
14450l |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2 \cdot 5^{4} \cdot 17^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.2 |
3B, 5B.4.2 |
$2040$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$10080$ |
$0.690507$ |
$-25/2$ |
$1.09044$ |
$3.29825$ |
$[1, 1, 0, -150, -8450]$ |
\(y^2+xy=x^3+x^2-150x-8450\) |
3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 15.96.1.a.2, 24.8.0.a.1, $\ldots$ |
$[]$ |
14450.d4 |
14450l4 |
14450.d |
14450l |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{15} \cdot 5^{8} \cdot 17^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.1 |
3B, 5B.4.1 |
$2040$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$151200$ |
$2.044533$ |
$46969655/32768$ |
$1.06296$ |
$4.96320$ |
$[1, 1, 0, 158800, -10976000]$ |
\(y^2+xy=x^3+x^2+158800x-10976000\) |
3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 15.96.1.a.3, 24.8.0.a.1, $\ldots$ |
$[]$ |
14450.e1 |
14450e1 |
14450.e |
14450e |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{5} \cdot 5^{13} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$0.802921492$ |
$1$ |
|
$4$ |
$53760$ |
$1.427322$ |
$2336752783/2500000$ |
$0.97684$ |
$4.14767$ |
$[1, 1, 0, 11750, 456500]$ |
\(y^2+xy=x^3+x^2+11750x+456500\) |
680.2.0.? |
$[(95, 1515)]$ |
14450.f1 |
14450j1 |
14450.f |
14450j |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{7} \cdot 5^{9} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$161280$ |
$1.972034$ |
$-5177717/2176$ |
$0.86118$ |
$4.95801$ |
$[1, 1, 0, -130200, 23704000]$ |
\(y^2+xy=x^3+x^2-130200x+23704000\) |
680.2.0.? |
$[]$ |
14450.g1 |
14450h1 |
14450.g |
14450h |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{6} \cdot 5^{9} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$60$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$176256$ |
$2.154976$ |
$-24529249/8000$ |
$0.88673$ |
$5.19757$ |
$[1, 1, 0, -289150, 74712500]$ |
\(y^2+xy=x^3+x^2-289150x+74712500\) |
3.4.0.a.1, 12.8.0-3.a.1.3, 15.8.0-3.a.1.2, 20.2.0.a.1, 60.16.0-60.a.1.7 |
$[]$ |
14450.g2 |
14450h2 |
14450.g |
14450h |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{2} \cdot 5^{15} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$60$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$528768$ |
$2.704281$ |
$10329972191/7812500$ |
$1.08409$ |
$5.78180$ |
$[1, 1, 0, 2167350, -679433000]$ |
\(y^2+xy=x^3+x^2+2167350x-679433000\) |
3.4.0.a.1, 12.8.0-3.a.1.4, 15.8.0-3.a.1.1, 20.2.0.a.1, 60.16.0-60.a.1.6 |
$[]$ |
14450.h1 |
14450f2 |
14450.h |
14450f |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{2} \cdot 5^{10} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
4.4.0.1, 5.6.0.1 |
5B |
$340$ |
$192$ |
$5$ |
$12.62524271$ |
$1$ |
|
$0$ |
$326400$ |
$2.462429$ |
$-1723025/4$ |
$0.91411$ |
$5.84196$ |
$[1, 1, 0, -2622825, -1639310375]$ |
\(y^2+xy=x^3+x^2-2622825x-1639310375\) |
4.4.0.a.1, 5.6.0.a.1, 20.48.1.a.2, 68.8.0.b.1, 85.24.0.?, $\ldots$ |
$[(26194476/65, 128094181931/65)]$ |
14450.h2 |
14450f1 |
14450.h |
14450f |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{10} \cdot 5^{2} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
4.4.0.1, 5.6.0.1 |
5B |
$340$ |
$192$ |
$5$ |
$2.525048543$ |
$1$ |
|
$0$ |
$65280$ |
$1.657709$ |
$1026895/1024$ |
$0.91899$ |
$4.44329$ |
$[1, 1, 0, 30195, 1729885]$ |
\(y^2+xy=x^3+x^2+30195x+1729885\) |
4.4.0.a.1, 5.6.0.a.1, 20.48.1.a.1, 68.8.0.b.1, 85.24.0.?, $\ldots$ |
$[(-1046/5, 81223/5)]$ |
14450.i1 |
14450m1 |
14450.i |
14450m |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{4} \cdot 5^{8} \cdot 17^{13} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1935360$ |
$3.062656$ |
$11053587253415/6565418768$ |
$1.03983$ |
$6.25452$ |
$[1, 1, 0, 9804175, -1914582875]$ |
\(y^2+xy=x^3+x^2+9804175x-1914582875\) |
68.2.0.a.1 |
$[]$ |
14450.j1 |
14450d2 |
14450.j |
14450d |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{2} \cdot 5^{10} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
4.4.0.1, 5.6.0.1 |
5B |
$340$ |
$192$ |
$5$ |
$3.525633954$ |
$1$ |
|
$2$ |
$19200$ |
$1.045822$ |
$-1723025/4$ |
$0.91411$ |
$4.06722$ |
$[1, 0, 1, -9076, -334202]$ |
\(y^2+xy+y=x^3-9076x-334202\) |
4.4.0.a.1, 5.6.0.a.1, 20.48.1.a.2, 68.8.0.b.1, 85.24.0.?, $\ldots$ |
$[(143, 1067)]$ |
14450.j2 |
14450d1 |
14450.j |
14450d |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{10} \cdot 5^{2} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
4.4.0.1, 5.6.0.1 |
5B |
$340$ |
$192$ |
$5$ |
$0.705126790$ |
$1$ |
|
$4$ |
$3840$ |
$0.241103$ |
$1026895/1024$ |
$0.91899$ |
$2.66855$ |
$[1, 0, 1, 104, 358]$ |
\(y^2+xy+y=x^3+104x+358\) |
4.4.0.a.1, 5.6.0.a.1, 20.48.1.a.1, 68.8.0.b.1, 85.24.0.?, $\ldots$ |
$[(41, 251)]$ |
14450.k1 |
14450b1 |
14450.k |
14450b |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{6} \cdot 5^{9} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1020$ |
$16$ |
$0$ |
$0.449455250$ |
$1$ |
|
$4$ |
$10368$ |
$0.738369$ |
$-24529249/8000$ |
$0.88673$ |
$3.42283$ |
$[1, 0, 1, -1001, 15148]$ |
\(y^2+xy+y=x^3-1001x+15148\) |
3.4.0.a.1, 20.2.0.a.1, 60.8.0.a.1, 204.8.0.?, 255.8.0.?, $\ldots$ |
$[(67, 466)]$ |
14450.k2 |
14450b2 |
14450.k |
14450b |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{2} \cdot 5^{15} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1020$ |
$16$ |
$0$ |
$1.348365750$ |
$1$ |
|
$0$ |
$31104$ |
$1.287676$ |
$10329972191/7812500$ |
$1.08409$ |
$4.00705$ |
$[1, 0, 1, 7499, -137852]$ |
\(y^2+xy+y=x^3+7499x-137852\) |
3.4.0.a.1, 20.2.0.a.1, 60.8.0.a.1, 204.8.0.?, 255.8.0.?, $\ldots$ |
$[(433/3, 14962/3)]$ |
14450.l1 |
14450a1 |
14450.l |
14450a |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{5} \cdot 5^{13} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$12.62159701$ |
$1$ |
|
$0$ |
$913920$ |
$2.843929$ |
$2336752783/2500000$ |
$0.97684$ |
$5.92242$ |
$[1, 0, 1, 3395599, 2219014948]$ |
\(y^2+xy+y=x^3+3395599x+2219014948\) |
680.2.0.? |
$[(20881978/19, 95274740638/19)]$ |
14450.m1 |
14450i2 |
14450.m |
14450i |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{5} \cdot 5^{3} \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$680$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$152320$ |
$2.075138$ |
$-18170704189/32$ |
$0.99680$ |
$5.63247$ |
$[1, 0, 1, -1345446, 600574488]$ |
\(y^2+xy+y=x^3-1345446x+600574488\) |
5.6.0.a.1, 40.12.0.bx.2, 85.24.0.?, 680.48.1.? |
$[]$ |
14450.m2 |
14450i1 |
14450.m |
14450i |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2 \cdot 5^{3} \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$680$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$30464$ |
$1.270418$ |
$1331/2$ |
$0.94388$ |
$3.96607$ |
$[1, 0, 1, 5629, 205888]$ |
\(y^2+xy+y=x^3+5629x+205888\) |
5.6.0.a.1, 40.12.0.bx.1, 85.24.0.?, 680.48.1.? |
$[]$ |
14450.n1 |
14450c2 |
14450.n |
14450c |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{7} \cdot 5^{15} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$18.97995785$ |
$1$ |
|
$0$ |
$1741824$ |
$3.311100$ |
$-32391289681150609/1228250000000$ |
$1.00352$ |
$6.75851$ |
$[1, 0, 1, -47981376, -132054127602]$ |
\(y^2+xy+y=x^3-47981376x-132054127602\) |
3.4.0.a.1, 24.8.0-3.a.1.7, 255.8.0.?, 680.2.0.?, 2040.16.0.? |
$[(23310288748/1527, 2198341312023623/1527)]$ |
14450.n2 |
14450c1 |
14450.n |
14450c |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{21} \cdot 5^{9} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$6.326652619$ |
$1$ |
|
$2$ |
$580608$ |
$2.761791$ |
$7023836099951/4456448000$ |
$0.99857$ |
$5.87112$ |
$[1, 0, 1, 2882624, -584559602]$ |
\(y^2+xy+y=x^3+2882624x-584559602\) |
3.4.0.a.1, 24.8.0-3.a.1.8, 255.8.0.?, 680.2.0.?, 2040.16.0.? |
$[(8492, 793441)]$ |
14450.o1 |
14450n2 |
14450.o |
14450n |
$2$ |
$17$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2 \cdot 5^{3} \cdot 17^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$17$ |
17.72.1.4 |
17B.4.6 |
$680$ |
$576$ |
$17$ |
$1$ |
$1$ |
|
$0$ |
$208080$ |
$2.002991$ |
$-297756989/2$ |
$0.98541$ |
$5.49904$ |
$[1, 1, 0, -878710, 316677750]$ |
\(y^2+xy=x^3+x^2-878710x+316677750\) |
17.72.1.b.1, 40.2.0.a.1, 85.288.5.?, 136.144.5.?, 680.576.17.? |
$[]$ |
14450.o2 |
14450n1 |
14450.o |
14450n |
$2$ |
$17$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{17} \cdot 5^{3} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$17$ |
17.72.1.2 |
17B.4.2 |
$680$ |
$576$ |
$17$ |
$1$ |
$1$ |
|
$0$ |
$12240$ |
$0.586384$ |
$-882216989/131072$ |
$0.95690$ |
$3.26997$ |
$[1, 1, 0, -660, -7600]$ |
\(y^2+xy=x^3+x^2-660x-7600\) |
17.72.1.b.2, 40.2.0.a.1, 85.288.5.?, 136.144.5.?, 680.576.17.? |
$[]$ |
14450.p1 |
14450o1 |
14450.p |
14450o |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{4} \cdot 5^{4} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$55296$ |
$1.103413$ |
$84375/272$ |
$1.04213$ |
$3.78973$ |
$[1, -1, 0, 2258, 87716]$ |
\(y^2+xy=x^3-x^2+2258x+87716\) |
68.2.0.a.1 |
$[]$ |
14450.q1 |
14450bc2 |
14450.q |
14450bc |
$2$ |
$13$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2 \cdot 5^{19} \cdot 17^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$13$ |
13.42.0.2 |
13B.5.2 |
$8840$ |
$336$ |
$9$ |
$12.89778036$ |
$1$ |
|
$0$ |
$778752$ |
$2.381123$ |
$-45145776875761017/2441406250$ |
$1.08253$ |
$5.89918$ |
$[1, -1, 1, -3152730, -2153969853]$ |
\(y^2+xy+y=x^3-x^2-3152730x-2153969853\) |
13.42.0.a.1, 221.84.2.?, 520.84.2.?, 680.2.0.?, 1105.168.2.?, $\ldots$ |
$[(10911/2, 770335/2), (434269/4, 284678305/4)]$ |
14450.q2 |
14450bc1 |
14450.q |
14450bc |
$2$ |
$13$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{13} \cdot 5^{7} \cdot 17^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$13$ |
13.42.0.1 |
13B.5.1 |
$8840$ |
$336$ |
$9$ |
$0.076318227$ |
$1$ |
|
$38$ |
$59904$ |
$1.098648$ |
$-60698457/40960$ |
$0.97803$ |
$3.84724$ |
$[1, -1, 1, -3480, 117147]$ |
\(y^2+xy+y=x^3-x^2-3480x+117147\) |
13.42.0.a.2, 221.84.2.?, 520.84.2.?, 680.2.0.?, 1105.168.2.?, $\ldots$ |
$[(29, 185), (-21, 435)]$ |
14450.r1 |
14450bb1 |
14450.r |
14450bb |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{4} \cdot 5^{10} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$276480$ |
$1.908131$ |
$84375/272$ |
$1.04213$ |
$4.79789$ |
$[1, -1, 1, 56445, 11020947]$ |
\(y^2+xy+y=x^3-x^2+56445x+11020947\) |
68.2.0.a.1 |
$[]$ |
14450.s1 |
14450be1 |
14450.s |
14450be |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{16} \cdot 5^{7} \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$0.104257286$ |
$1$ |
|
$12$ |
$138240$ |
$1.538866$ |
$-2346853689/327680$ |
$1.02534$ |
$4.46648$ |
$[1, -1, 1, -30255, 2264247]$ |
\(y^2+xy+y=x^3-x^2-30255x+2264247\) |
20.2.0.a.1 |
$[(-21, 1710)]$ |
14450.t1 |
14450x1 |
14450.t |
14450x |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{4} \cdot 5^{8} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$680$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$110592$ |
$1.682035$ |
$47045881/6800$ |
$0.98870$ |
$4.62732$ |
$[1, 0, 0, -54338, 4218292]$ |
\(y^2+xy=x^3-54338x+4218292\) |
2.3.0.a.1, 4.6.0.b.1, 34.6.0.a.1, 40.12.0-4.b.1.1, 68.12.0.e.1, $\ldots$ |
$[]$ |
14450.t2 |
14450x2 |
14450.t |
14450x |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{2} \cdot 5^{10} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$680$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$221184$ |
$2.028610$ |
$214921799/722500$ |
$0.91035$ |
$4.94988$ |
$[1, 0, 0, 90162, 22858792]$ |
\(y^2+xy=x^3+90162x+22858792\) |
2.3.0.a.1, 4.6.0.a.1, 20.12.0-4.a.1.2, 68.12.0.d.1, 136.24.0.?, $\ldots$ |
$[]$ |
14450.u1 |
14450v2 |
14450.u |
14450v |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{3} \cdot 5^{9} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12960$ |
$0.703053$ |
$-215038729/1000$ |
$0.90188$ |
$3.60365$ |
$[1, 0, 0, -2063, -36383]$ |
\(y^2+xy=x^3-2063x-36383\) |
3.4.0.a.1, 40.2.0.a.1, 120.8.0.?, 255.8.0.?, 408.8.0.?, $\ldots$ |
$[]$ |
14450.u2 |
14450v1 |
14450.u |
14450v |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2 \cdot 5^{7} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4320$ |
$0.153747$ |
$5831/10$ |
$0.75914$ |
$2.57544$ |
$[1, 0, 0, 62, -258]$ |
\(y^2+xy=x^3+62x-258\) |
3.4.0.a.1, 40.2.0.a.1, 120.8.0.?, 255.8.0.?, 408.8.0.?, $\ldots$ |
$[]$ |
14450.v1 |
14450w3 |
14450.v |
14450w |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{24} \cdot 5^{12} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.4.0.1 |
2B, 3B |
$2040$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$3317760$ |
$3.338802$ |
$8010684753304969/4456448000000$ |
$1.04256$ |
$6.60602$ |
$[1, 0, 0, -30117563, -12516150383]$ |
\(y^2+xy=x^3-30117563x-12516150383\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 12.24.0.f.1, $\ldots$ |
$[]$ |
14450.v2 |
14450w1 |
14450.v |
14450w |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 5^{8} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.4.0.1 |
2B, 3B |
$2040$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$1105920$ |
$2.789497$ |
$1841373668746009/31443200$ |
$0.98941$ |
$6.45253$ |
$[1, 0, 0, -18449188, 30499006992]$ |
\(y^2+xy=x^3-18449188x+30499006992\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 12.24.0.f.1, $\ldots$ |
$[]$ |
14450.v3 |
14450w2 |
14450.v |
14450w |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{4} \cdot 5^{10} \cdot 17^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.4.0.1 |
2B, 3B |
$2040$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$2211840$ |
$3.136070$ |
$-1673672305534489/241375690000$ |
$0.99210$ |
$6.46579$ |
$[1, 0, 0, -17871188, 32499464992]$ |
\(y^2+xy=x^3-17871188x+32499464992\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.24.0.d.1, $\ldots$ |
$[]$ |
14450.v4 |
14450w4 |
14450.v |
14450w |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{12} \cdot 5^{18} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.4.0.1 |
2B, 3B |
$2040$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$6635520$ |
$3.685375$ |
$479958568556831351/289000000000000$ |
$1.05690$ |
$7.03333$ |
$[1, 0, 0, 117850437, -99077430383]$ |
\(y^2+xy=x^3+117850437x-99077430383\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.24.0.d.1, $\ldots$ |
$[]$ |
14450.w1 |
14450bk2 |
14450.w |
14450bk |
$2$ |
$17$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2 \cdot 5^{9} \cdot 17^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$17$ |
17.72.1.4 |
17B.4.6 |
$680$ |
$576$ |
$17$ |
$13.04840871$ |
$1$ |
|
$0$ |
$1040400$ |
$2.807709$ |
$-297756989/2$ |
$0.98541$ |
$6.50720$ |
$[1, 0, 0, -21967763, 39628654267]$ |
\(y^2+xy=x^3-21967763x+39628654267\) |
17.72.1.b.1, 40.2.0.a.1, 85.288.5.?, 136.144.5.?, 680.576.17.? |
$[(18872667/86, 7946771069/86)]$ |
14450.w2 |
14450bk1 |
14450.w |
14450bk |
$2$ |
$17$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{17} \cdot 5^{9} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$17$ |
17.72.1.2 |
17B.4.2 |
$680$ |
$576$ |
$17$ |
$0.767553453$ |
$1$ |
|
$4$ |
$61200$ |
$1.391104$ |
$-882216989/131072$ |
$0.95690$ |
$4.27813$ |
$[1, 0, 0, -16513, -916983]$ |
\(y^2+xy=x^3-16513x-916983\) |
17.72.1.b.2, 40.2.0.a.1, 85.288.5.?, 136.144.5.?, 680.576.17.? |
$[(202, 1899)]$ |
14450.x1 |
14450bi2 |
14450.x |
14450bi |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{5} \cdot 5^{9} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$680$ |
$48$ |
$1$ |
$1.319602158$ |
$1$ |
|
$6$ |
$761600$ |
$2.879856$ |
$-18170704189/32$ |
$0.99680$ |
$6.64063$ |
$[1, 1, 1, -33636138, 75071811031]$ |
\(y^2+xy+y=x^3+x^2-33636138x+75071811031\) |
5.6.0.a.1, 40.12.0.bx.2, 85.24.0.?, 680.48.1.? |
$[(3299, 3263)]$ |
14450.x2 |
14450bi1 |
14450.x |
14450bi |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2 \cdot 5^{9} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$680$ |
$48$ |
$1$ |
$6.598010791$ |
$1$ |
|
$0$ |
$152320$ |
$2.075138$ |
$1331/2$ |
$0.94388$ |
$4.97423$ |
$[1, 1, 1, 140737, 25736031]$ |
\(y^2+xy+y=x^3+x^2+140737x+25736031\) |
5.6.0.a.1, 40.12.0.bx.1, 85.24.0.?, 680.48.1.? |
$[(5931/10, 5826141/10)]$ |
14450.y1 |
14450bj1 |
14450.y |
14450bj |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{2} \cdot 5^{4} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
4.4.0.1, 5.6.0.1 |
5B |
$340$ |
$192$ |
$5$ |
$1.001624384$ |
$1$ |
|
$2$ |
$3840$ |
$0.241103$ |
$-1723025/4$ |
$0.91411$ |
$3.05905$ |
$[1, 1, 1, -363, -2819]$ |
\(y^2+xy+y=x^3+x^2-363x-2819\) |
4.4.0.a.1, 5.6.0.a.1, 20.48.1.a.2, 68.8.0.b.1, 85.24.0.?, $\ldots$ |
$[(35, 152)]$ |
14450.y2 |
14450bj2 |
14450.y |
14450bj |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{10} \cdot 5^{8} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
4.4.0.1, 5.6.0.1 |
5B |
$340$ |
$192$ |
$5$ |
$0.200324876$ |
$1$ |
|
$8$ |
$19200$ |
$1.045822$ |
$1026895/1024$ |
$0.91899$ |
$3.67671$ |
$[1, 1, 1, 2612, 44781]$ |
\(y^2+xy+y=x^3+x^2+2612x+44781\) |
4.4.0.a.1, 5.6.0.a.1, 20.48.1.a.1, 68.8.0.b.1, 85.24.0.?, $\ldots$ |
$[(35, 407)]$ |
14450.z1 |
14450r2 |
14450.z |
14450r |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \) |
\( 2 \cdot 5^{10} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$18432$ |
$0.934402$ |
$154854153/1250$ |
$1.03522$ |
$3.86433$ |
$[1, -1, 1, -4755, 126497]$ |
\(y^2+xy+y=x^3-x^2-4755x+126497\) |
2.3.0.a.1, 8.6.0.f.1, 68.6.0.c.1, 136.12.0.? |
$[]$ |