| 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 |
| 2736.a1 |
2736h1 |
2736.a |
2736h |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( 2^{10} \cdot 3^{7} \cdot 19 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$456$ |
$12$ |
$0$ |
$0.399355357$ |
$1$ |
|
$29$ |
$1280$ |
$0.194383$ |
$470596/57$ |
$0.94139$ |
$3.35912$ |
$[0, 0, 0, -147, 610]$ |
\(y^2=x^3-147x+610\) |
2.3.0.a.1, 8.6.0.d.1, 114.6.0.?, 456.12.0.? |
$[(-7, 36), (2, 18)]$ |
| 2736.a2 |
2736h2 |
2736.a |
2736h |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( - 2^{11} \cdot 3^{8} \cdot 19^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$456$ |
$12$ |
$0$ |
$0.399355357$ |
$1$ |
|
$33$ |
$2560$ |
$0.540956$ |
$715822/3249$ |
$0.90786$ |
$3.74271$ |
$[0, 0, 0, 213, 3130]$ |
\(y^2=x^3+213x+3130\) |
2.3.0.a.1, 8.6.0.a.1, 228.6.0.?, 456.12.0.? |
$[(9, 76), (-1, 54)]$ |
| 2736.b1 |
2736d2 |
2736.b |
2736d |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( 2^{8} \cdot 3^{9} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2688$ |
$0.610895$ |
$445090032/19$ |
$0.91236$ |
$4.46618$ |
$[0, 0, 0, -2727, -54810]$ |
\(y^2=x^3-2727x-54810\) |
2.3.0.a.1, 12.6.0.c.1, 76.6.0.?, 114.6.0.?, 228.12.0.? |
$[]$ |
| 2736.b2 |
2736d1 |
2736.b |
2736d |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( - 2^{4} \cdot 3^{9} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1344$ |
$0.264321$ |
$-1492992/361$ |
$0.85758$ |
$3.44006$ |
$[0, 0, 0, -162, -945]$ |
\(y^2=x^3-162x-945\) |
2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.? |
$[]$ |
| 2736.c1 |
2736q3 |
2736.c |
2736q |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( - 2^{12} \cdot 3^{6} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
27.36.0.1 |
3B |
$2052$ |
$1296$ |
$43$ |
$11.02710220$ |
$1$ |
|
$0$ |
$5184$ |
$1.275892$ |
$-50357871050752/19$ |
$1.10495$ |
$5.87037$ |
$[0, 0, 0, -110784, -14192656]$ |
\(y^2=x^3-110784x-14192656\) |
3.4.0.a.1, 9.12.0.a.1, 12.8.0-3.a.1.1, 27.36.0.a.1, 36.24.0-9.a.1.2, $\ldots$ |
$[(161305/11, 62532117/11)]$ |
| 2736.c2 |
2736q2 |
2736.c |
2736q |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( - 2^{12} \cdot 3^{6} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$2052$ |
$1296$ |
$43$ |
$3.675700734$ |
$1$ |
|
$2$ |
$1728$ |
$0.726586$ |
$-89915392/6859$ |
$1.03310$ |
$4.21362$ |
$[0, 0, 0, -1344, -20176]$ |
\(y^2=x^3-1344x-20176\) |
3.12.0.a.1, 9.36.0.b.1, 12.24.0-3.a.1.1, 36.72.0-9.b.1.1, 38.2.0.a.1, $\ldots$ |
$[(97, 873)]$ |
| 2736.c3 |
2736q1 |
2736.c |
2736q |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( - 2^{12} \cdot 3^{6} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
27.36.0.1 |
3B |
$2052$ |
$1296$ |
$43$ |
$1.225233578$ |
$1$ |
|
$2$ |
$576$ |
$0.177280$ |
$32768/19$ |
$1.31757$ |
$3.19760$ |
$[0, 0, 0, 96, -16]$ |
\(y^2=x^3+96x-16\) |
3.4.0.a.1, 9.12.0.a.1, 12.8.0-3.a.1.2, 27.36.0.a.1, 36.24.0-9.a.1.1, $\ldots$ |
$[(1, 9)]$ |
| 2736.d1 |
2736v3 |
2736.d |
2736v |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( 2^{17} \cdot 3^{9} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$46080$ |
$2.343891$ |
$74220219816682217473/16416$ |
$1.10905$ |
$7.66503$ |
$[0, 0, 0, -12607491, -17230231550]$ |
\(y^2=x^3-12607491x-17230231550\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0-8.m.1.5, 76.12.0.?, $\ldots$ |
$[]$ |
| 2736.d2 |
2736v2 |
2736.d |
2736v |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( 2^{22} \cdot 3^{12} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$456$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$23040$ |
$1.997318$ |
$18120364883707393/269485056$ |
$1.09068$ |
$6.61405$ |
$[0, 0, 0, -787971, -269220350]$ |
\(y^2=x^3-787971x-269220350\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.1, 76.12.0.?, $\ldots$ |
$[]$ |
| 2736.d3 |
2736v4 |
2736.d |
2736v |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( - 2^{17} \cdot 3^{18} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$46080$ |
$2.343891$ |
$-16576888679672833/2216253521952$ |
$1.04427$ |
$6.62906$ |
$[0, 0, 0, -764931, -285703166]$ |
\(y^2=x^3-764931x-285703166\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 12.12.0-4.c.1.2, 24.24.0-8.d.1.2, $\ldots$ |
$[]$ |
| 2736.d4 |
2736v1 |
2736.d |
2736v |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( 2^{32} \cdot 3^{9} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$11520$ |
$1.650745$ |
$4824238966273/537919488$ |
$1.00823$ |
$5.57401$ |
$[0, 0, 0, -50691, -3947006]$ |
\(y^2=x^3-50691x-3947006\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0-4.c.1.1, 24.24.0-8.m.1.6, $\ldots$ |
$[]$ |
| 2736.e1 |
2736j3 |
2736.e |
2736j |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( 2^{11} \cdot 3^{9} \cdot 19^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$456$ |
$48$ |
$0$ |
$0.977346635$ |
$1$ |
|
$13$ |
$3072$ |
$1.215509$ |
$111223479026/3518667$ |
$0.97692$ |
$5.01009$ |
$[0, 0, 0, -11451, 458570]$ |
\(y^2=x^3-11451x+458570\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.s.1.2, 152.24.0.?, 456.48.0.? |
$[(73, 108)]$ |
| 2736.e2 |
2736j2 |
2736.e |
2736j |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( 2^{10} \cdot 3^{12} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$456$ |
$48$ |
$0$ |
$1.954693271$ |
$1$ |
|
$9$ |
$1536$ |
$0.868935$ |
$768400132/263169$ |
$0.94504$ |
$4.29389$ |
$[0, 0, 0, -1731, -17710]$ |
\(y^2=x^3-1731x-17710\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.b.1.1, 152.24.0.?, 228.24.0.?, $\ldots$ |
$[(-29, 90)]$ |
| 2736.e3 |
2736j1 |
2736.e |
2736j |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( 2^{8} \cdot 3^{9} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$456$ |
$48$ |
$0$ |
$3.909386543$ |
$1$ |
|
$3$ |
$768$ |
$0.522362$ |
$2211014608/513$ |
$0.92081$ |
$4.25227$ |
$[0, 0, 0, -1551, -23506]$ |
\(y^2=x^3-1551x-23506\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.y.1.12, 114.6.0.?, 152.24.0.?, $\ldots$ |
$[(77, 560)]$ |
| 2736.e4 |
2736j4 |
2736.e |
2736j |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( - 2^{11} \cdot 3^{18} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$456$ |
$48$ |
$0$ |
$3.909386543$ |
$1$ |
|
$3$ |
$3072$ |
$1.215509$ |
$9878111854/10097379$ |
$0.98646$ |
$4.70416$ |
$[0, 0, 0, 5109, -123046]$ |
\(y^2=x^3+5109x-123046\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.y.1.14, 152.24.0.?, $\ldots$ |
$[(47, 470)]$ |
| 2736.f1 |
2736l2 |
2736.f |
2736l |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( 2^{13} \cdot 3^{3} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$0.381986400$ |
$1$ |
|
$11$ |
$768$ |
$0.364962$ |
$149721291/722$ |
$0.93693$ |
$3.84596$ |
$[0, 0, 0, -531, 4690]$ |
\(y^2=x^3-531x+4690\) |
2.3.0.a.1, 24.6.0.a.1, 152.6.0.?, 228.6.0.?, 456.12.0.? |
$[(17, 24)]$ |
| 2736.f2 |
2736l1 |
2736.f |
2736l |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( 2^{14} \cdot 3^{3} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$0.763972800$ |
$1$ |
|
$7$ |
$384$ |
$0.018388$ |
$132651/76$ |
$1.00985$ |
$2.95784$ |
$[0, 0, 0, -51, -14]$ |
\(y^2=x^3-51x-14\) |
2.3.0.a.1, 24.6.0.d.1, 114.6.0.?, 152.6.0.?, 456.12.0.? |
$[(-1, 6)]$ |
| 2736.g1 |
2736u2 |
2736.g |
2736u |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( 2^{8} \cdot 3^{12} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1152$ |
$0.571862$ |
$340062928/13851$ |
$0.89938$ |
$4.01573$ |
$[0, 0, 0, -831, 8890]$ |
\(y^2=x^3-831x+8890\) |
2.3.0.a.1, 12.6.0.c.1, 76.6.0.?, 228.12.0.? |
$[]$ |
| 2736.g2 |
2736u1 |
2736.g |
2736u |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( - 2^{4} \cdot 3^{9} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$576$ |
$0.225288$ |
$131072/9747$ |
$1.13743$ |
$3.28469$ |
$[0, 0, 0, 24, 511]$ |
\(y^2=x^3+24x+511\) |
2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.? |
$[]$ |
| 2736.h1 |
2736s2 |
2736.h |
2736s |
$2$ |
$5$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( - 2^{12} \cdot 3^{8} \cdot 19^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$1140$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$19200$ |
$1.893860$ |
$-9358714467168256/22284891$ |
$1.06833$ |
$6.53056$ |
$[0, 0, 0, -632208, -193481296]$ |
\(y^2=x^3-632208x-193481296\) |
5.12.0.a.2, 38.2.0.a.1, 60.24.0-5.a.2.2, 190.24.1.?, 1140.48.1.? |
$[]$ |
| 2736.h2 |
2736s1 |
2736.h |
2736s |
$2$ |
$5$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( - 2^{12} \cdot 3^{16} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$1140$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$3840$ |
$1.089142$ |
$841232384/1121931$ |
$1.00490$ |
$4.51410$ |
$[0, 0, 0, 2832, -66256]$ |
\(y^2=x^3+2832x-66256\) |
5.12.0.a.1, 38.2.0.a.1, 60.24.0-5.a.1.2, 190.24.1.?, 1140.48.1.? |
$[]$ |
| 2736.i1 |
2736f1 |
2736.i |
2736f |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( - 2^{8} \cdot 3^{8} \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1536$ |
$0.618111$ |
$70575104/61731$ |
$0.95058$ |
$3.81704$ |
$[0, 0, 0, 492, 3004]$ |
\(y^2=x^3+492x+3004\) |
38.2.0.a.1 |
$[]$ |
| 2736.j1 |
2736o1 |
2736.j |
2736o |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( 2^{14} \cdot 3^{11} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$456$ |
$12$ |
$0$ |
$1.747745322$ |
$1$ |
|
$3$ |
$3840$ |
$1.061762$ |
$96386901625/18468$ |
$0.97983$ |
$5.07958$ |
$[0, 0, 0, -13755, -620822]$ |
\(y^2=x^3-13755x-620822\) |
2.3.0.a.1, 8.6.0.d.1, 114.6.0.?, 456.12.0.? |
$[(317, 5184)]$ |
| 2736.j2 |
2736o2 |
2736.j |
2736o |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( - 2^{13} \cdot 3^{16} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$456$ |
$12$ |
$0$ |
$3.495490644$ |
$1$ |
|
$3$ |
$7680$ |
$1.408337$ |
$-69173457625/42633378$ |
$0.99175$ |
$5.12929$ |
$[0, 0, 0, -12315, -755894]$ |
\(y^2=x^3-12315x-755894\) |
2.3.0.a.1, 8.6.0.a.1, 228.6.0.?, 456.12.0.? |
$[(362, 6498)]$ |
| 2736.k1 |
2736e1 |
2736.k |
2736e |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( - 2^{11} \cdot 3^{6} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$480$ |
$0.132128$ |
$-31250/19$ |
$0.89957$ |
$3.19477$ |
$[0, 0, 0, -75, -358]$ |
\(y^2=x^3-75x-358\) |
152.2.0.? |
$[]$ |
| 2736.l1 |
2736b1 |
2736.l |
2736b |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( 2^{8} \cdot 3^{9} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$2.256996674$ |
$1$ |
|
$3$ |
$384$ |
$0.232713$ |
$54000/19$ |
$0.67126$ |
$3.32684$ |
$[0, 0, 0, -135, -378]$ |
\(y^2=x^3-135x-378\) |
2.3.0.a.1, 12.6.0.c.1, 76.6.0.?, 114.6.0.?, 228.12.0.? |
$[(13, 8)]$ |
| 2736.l2 |
2736b2 |
2736.l |
2736b |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( - 2^{10} \cdot 3^{9} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1.128498337$ |
$1$ |
|
$7$ |
$768$ |
$0.579288$ |
$364500/361$ |
$1.04461$ |
$3.74328$ |
$[0, 0, 0, 405, -2646]$ |
\(y^2=x^3+405x-2646\) |
2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.? |
$[(25, 152)]$ |
| 2736.m1 |
2736a1 |
2736.m |
2736a |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( 2^{8} \cdot 3^{3} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1.095096230$ |
$1$ |
|
$5$ |
$128$ |
$-0.316593$ |
$54000/19$ |
$0.67126$ |
$2.49395$ |
$[0, 0, 0, -15, 14]$ |
\(y^2=x^3-15x+14\) |
2.3.0.a.1, 12.6.0.c.1, 76.6.0.?, 114.6.0.?, 228.12.0.? |
$[(5, 8)]$ |
| 2736.m2 |
2736a2 |
2736.m |
2736a |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( - 2^{10} \cdot 3^{3} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$0.547548115$ |
$1$ |
|
$9$ |
$256$ |
$0.029981$ |
$364500/361$ |
$1.04461$ |
$2.91039$ |
$[0, 0, 0, 45, 98]$ |
\(y^2=x^3+45x+98\) |
2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.? |
$[(1, 12)]$ |
| 2736.n1 |
2736m3 |
2736.n |
2736m |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( - 2^{39} \cdot 3^{6} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
27.36.0.1 |
3B |
$4104$ |
$1296$ |
$43$ |
$4.539488286$ |
$1$ |
|
$0$ |
$12960$ |
$1.727623$ |
$-69173457625/2550136832$ |
$1.05462$ |
$5.56454$ |
$[0, 0, 0, -12315, -4231222]$ |
\(y^2=x^3-12315x-4231222\) |
3.4.0.a.1, 9.12.0.a.1, 12.8.0-3.a.1.1, 27.36.0.a.1, 36.24.0-9.a.1.2, $\ldots$ |
$[(26261/11, 2424832/11)]$ |
| 2736.n2 |
2736m1 |
2736.n |
2736m |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( - 2^{15} \cdot 3^{6} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
27.36.0.1 |
3B |
$4104$ |
$1296$ |
$43$ |
$0.504387587$ |
$1$ |
|
$4$ |
$1440$ |
$0.629010$ |
$-413493625/152$ |
$0.93281$ |
$4.39084$ |
$[0, 0, 0, -2235, 40682]$ |
\(y^2=x^3-2235x+40682\) |
3.4.0.a.1, 9.12.0.a.1, 12.8.0-3.a.1.2, 27.36.0.a.1, 36.24.0-9.a.1.1, $\ldots$ |
$[(29, 16)]$ |
| 2736.n3 |
2736m2 |
2736.n |
2736m |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( - 2^{21} \cdot 3^{6} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$4104$ |
$1296$ |
$43$ |
$1.513162762$ |
$1$ |
|
$4$ |
$4320$ |
$1.178316$ |
$94196375/3511808$ |
$1.01875$ |
$4.72820$ |
$[0, 0, 0, 1365, 154586]$ |
\(y^2=x^3+1365x+154586\) |
3.12.0.a.1, 9.36.0.b.1, 12.24.0-3.a.1.1, 36.72.0-9.b.1.1, 152.2.0.?, $\ldots$ |
$[(-43, 128)]$ |
| 2736.o1 |
2736n3 |
2736.o |
2736n |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( 2^{14} \cdot 3^{7} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$456$ |
$96$ |
$1$ |
$5.835684370$ |
$1$ |
|
$3$ |
$6912$ |
$1.347956$ |
$8671983378625/82308$ |
$1.00775$ |
$5.64811$ |
$[0, 0, 0, -61635, -5889598]$ |
\(y^2=x^3-61635x-5889598\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 12.24.0-6.a.1.3, $\ldots$ |
$[(1793, 75152)]$ |
| 2736.o2 |
2736n4 |
2736.o |
2736n |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( - 2^{13} \cdot 3^{8} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$456$ |
$96$ |
$1$ |
$2.917842185$ |
$1$ |
|
$5$ |
$13824$ |
$1.694529$ |
$-8078253774625/846825858$ |
$1.01015$ |
$5.66018$ |
$[0, 0, 0, -60195, -6177886]$ |
\(y^2=x^3-60195x-6177886\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 12.24.0-6.a.1.3, $\ldots$ |
$[(313, 2376)]$ |
| 2736.o3 |
2736n1 |
2736.o |
2736n |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( 2^{18} \cdot 3^{9} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$456$ |
$96$ |
$1$ |
$1.945228123$ |
$1$ |
|
$5$ |
$2304$ |
$0.798649$ |
$57066625/32832$ |
$1.04766$ |
$4.14053$ |
$[0, 0, 0, -1155, 1154]$ |
\(y^2=x^3-1155x+1154\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 12.24.0-6.a.1.9, $\ldots$ |
$[(65, 448)]$ |
| 2736.o4 |
2736n2 |
2736.o |
2736n |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( - 2^{15} \cdot 3^{12} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$456$ |
$96$ |
$1$ |
$0.972614061$ |
$1$ |
|
$7$ |
$4608$ |
$1.145224$ |
$3616805375/2105352$ |
$1.07346$ |
$4.66479$ |
$[0, 0, 0, 4605, 9218]$ |
\(y^2=x^3+4605x+9218\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 12.24.0-6.a.1.9, $\ldots$ |
$[(17, 304)]$ |
| 2736.p1 |
2736i1 |
2736.p |
2736i |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( - 2^{8} \cdot 3^{6} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$0.851903499$ |
$1$ |
|
$2$ |
$384$ |
$-0.062173$ |
$-1024/19$ |
$0.79665$ |
$2.85140$ |
$[0, 0, 0, -12, 92]$ |
\(y^2=x^3-12x+92\) |
38.2.0.a.1 |
$[(1, 9)]$ |
| 2736.q1 |
2736r1 |
2736.q |
2736r |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( - 2^{8} \cdot 3^{6} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$576$ |
$0.108375$ |
$-4194304/19$ |
$1.07903$ |
$3.46134$ |
$[0, 0, 0, -192, -1028]$ |
\(y^2=x^3-192x-1028\) |
38.2.0.a.1 |
$[]$ |
| 2736.r1 |
2736k2 |
2736.r |
2736k |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( 2^{13} \cdot 3^{9} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$3.103436408$ |
$1$ |
|
$3$ |
$2304$ |
$0.914268$ |
$149721291/722$ |
$0.93693$ |
$4.67885$ |
$[0, 0, 0, -4779, -126630]$ |
\(y^2=x^3-4779x-126630\) |
2.3.0.a.1, 24.6.0.a.1, 152.6.0.?, 228.6.0.?, 456.12.0.? |
$[(-38, 10)]$ |
| 2736.r2 |
2736k1 |
2736.r |
2736k |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( 2^{14} \cdot 3^{9} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$1.551718204$ |
$1$ |
|
$5$ |
$1152$ |
$0.567695$ |
$132651/76$ |
$1.00985$ |
$3.79072$ |
$[0, 0, 0, -459, 378]$ |
\(y^2=x^3-459x+378\) |
2.3.0.a.1, 24.6.0.d.1, 114.6.0.?, 152.6.0.?, 456.12.0.? |
$[(-6, 54)]$ |
| 2736.s1 |
2736t3 |
2736.s |
2736t |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( 2^{12} \cdot 3^{10} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$0.997445$ |
$115714886617/1539$ |
$0.98111$ |
$5.10267$ |
$[0, 0, 0, -14619, 680330]$ |
\(y^2=x^3-14619x+680330\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.1, 24.24.0-24.z.1.12, $\ldots$ |
$[]$ |
| 2736.s2 |
2736t2 |
2736.s |
2736t |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( 2^{12} \cdot 3^{8} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$228$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1536$ |
$0.650871$ |
$30664297/3249$ |
$0.90727$ |
$4.06205$ |
$[0, 0, 0, -939, 10010]$ |
\(y^2=x^3-939x+10010\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.1, 76.24.0.?, 228.48.0.? |
$[]$ |
| 2736.s3 |
2736t1 |
2736.s |
2736t |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( 2^{12} \cdot 3^{7} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$768$ |
$0.304297$ |
$389017/57$ |
$0.96267$ |
$3.51023$ |
$[0, 0, 0, -219, -1078]$ |
\(y^2=x^3-219x-1078\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.z.1.16, 114.6.0.?, 152.24.0.?, $\ldots$ |
$[]$ |
| 2736.s4 |
2736t4 |
2736.s |
2736t |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( - 2^{12} \cdot 3^{7} \cdot 19^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$3072$ |
$0.997445$ |
$67419143/390963$ |
$0.97474$ |
$4.43951$ |
$[0, 0, 0, 1221, 49322]$ |
\(y^2=x^3+1221x+49322\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 6.6.0.a.1, 12.24.0-12.g.1.2, 152.24.0.?, $\ldots$ |
$[]$ |
| 2736.t1 |
2736p1 |
2736.t |
2736p |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( - 2^{8} \cdot 3^{8} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$0.578933389$ |
$1$ |
|
$4$ |
$768$ |
$0.120201$ |
$8192/171$ |
$0.94370$ |
$3.12160$ |
$[0, 0, 0, 24, 268]$ |
\(y^2=x^3+24x+268\) |
38.2.0.a.1 |
$[(2, 18)]$ |
| 2736.u1 |
2736g1 |
2736.u |
2736g |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( - 2^{8} \cdot 3^{12} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1536$ |
$0.532629$ |
$-81415168/13851$ |
$0.91437$ |
$3.86766$ |
$[0, 0, 0, -516, 5132]$ |
\(y^2=x^3-516x+5132\) |
38.2.0.a.1 |
$[]$ |
| 2736.v1 |
2736w1 |
2736.v |
2736w |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( - 2^{12} \cdot 3^{8} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1280$ |
$0.405905$ |
$-1404928/171$ |
$0.86512$ |
$3.69660$ |
$[0, 0, 0, -336, 2608]$ |
\(y^2=x^3-336x+2608\) |
38.2.0.a.1 |
$[]$ |
| 2736.w1 |
2736x2 |
2736.w |
2736x |
$2$ |
$5$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( - 2^{13} \cdot 3^{6} \cdot 19^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$2280$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$7200$ |
$1.260239$ |
$-37966934881/4952198$ |
$0.97714$ |
$4.98754$ |
$[0, 0, 0, -10083, -431390]$ |
\(y^2=x^3-10083x-431390\) |
5.12.0.a.2, 60.24.0-5.a.2.2, 152.2.0.?, 760.24.1.?, 2280.48.1.? |
$[]$ |
| 2736.w2 |
2736x1 |
2736.w |
2736x |
$2$ |
$5$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( - 2^{17} \cdot 3^{6} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$2280$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1440$ |
$0.455519$ |
$-1/608$ |
$1.37833$ |
$3.63576$ |
$[0, 0, 0, -3, 2050]$ |
\(y^2=x^3-3x+2050\) |
5.12.0.a.1, 60.24.0-5.a.1.2, 152.2.0.?, 760.24.1.?, 2280.48.1.? |
$[]$ |
| 2736.x1 |
2736c2 |
2736.x |
2736c |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( 2^{8} \cdot 3^{3} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$896$ |
$0.061589$ |
$445090032/19$ |
$0.91236$ |
$3.63329$ |
$[0, 0, 0, -303, 2030]$ |
\(y^2=x^3-303x+2030\) |
2.3.0.a.1, 12.6.0.c.1, 76.6.0.?, 114.6.0.?, 228.12.0.? |
$[]$ |
