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 |
54978.a1 |
54978c1 |
54978.a |
54978c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2^{29} \cdot 3^{18} \cdot 7^{4} \cdot 11^{2} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$136$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13830912$ |
$3.372238$ |
$-9632785061827893455502313/427845285615476146176$ |
$1.03510$ |
$5.99053$ |
$[1, 1, 0, -59357204, 182623604304]$ |
\(y^2+xy=x^3+x^2-59357204x+182623604304\) |
136.2.0.? |
$[]$ |
54978.b1 |
54978m2 |
54978.b |
54978m |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2^{6} \cdot 3^{2} \cdot 7^{9} \cdot 11 \cdot 17^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15708$ |
$16$ |
$0$ |
$0.228702251$ |
$1$ |
|
$22$ |
$663552$ |
$1.864731$ |
$-28808239025774377/10677167424$ |
$0.93461$ |
$4.54209$ |
$[1, 1, 0, -312939, 67272381]$ |
\(y^2+xy=x^3+x^2-312939x+67272381\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 2244.8.0.?, 5236.2.0.?, 15708.16.0.? |
$[(573, 8460), (230, 2629)]$ |
54978.b2 |
54978m1 |
54978.b |
54978m |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2^{2} \cdot 3^{6} \cdot 7^{7} \cdot 11^{3} \cdot 17 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$15708$ |
$16$ |
$0$ |
$0.228702251$ |
$1$ |
|
$24$ |
$221184$ |
$1.315424$ |
$12600539783/461862324$ |
$0.90103$ |
$3.57913$ |
$[1, 1, 0, 2376, 352836]$ |
\(y^2+xy=x^3+x^2+2376x+352836\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 2244.8.0.?, 5236.2.0.?, 15708.16.0.? |
$[(-22, 550), (27, 648)]$ |
54978.c1 |
54978h4 |
54978.c |
54978h |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{3} \cdot 3^{4} \cdot 7^{7} \cdot 11 \cdot 17^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$31416$ |
$48$ |
$0$ |
$2.599218046$ |
$1$ |
|
$14$ |
$516096$ |
$1.737707$ |
$4118851966518073/4167363816$ |
$0.92357$ |
$4.36383$ |
$[1, 1, 0, -163636, 25387720]$ |
\(y^2+xy=x^3+x^2-163636x+25387720\) |
2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.1, 56.12.0-4.c.1.2, 408.12.0.?, $\ldots$ |
$[(223, 109), (349, 3133)]$ |
54978.c2 |
54978h3 |
54978.c |
54978h |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{3} \cdot 3 \cdot 7^{10} \cdot 11^{4} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$31416$ |
$48$ |
$0$ |
$10.39687218$ |
$1$ |
|
$8$ |
$516096$ |
$1.737707$ |
$1344732056152633/14342440728$ |
$0.91698$ |
$4.26127$ |
$[1, 1, 0, -112676, -14470056]$ |
\(y^2+xy=x^3+x^2-112676x-14470056\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.1, 88.12.0.?, 408.12.0.?, $\ldots$ |
$[(-179, 29), (547, 9104)]$ |
54978.c3 |
54978h2 |
54978.c |
54978h |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{6} \cdot 3^{2} \cdot 7^{8} \cdot 11^{2} \cdot 17^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$31416$ |
$48$ |
$0$ |
$2.599218046$ |
$1$ |
|
$26$ |
$258048$ |
$1.391134$ |
$1933038007993/986965056$ |
$0.89884$ |
$3.66163$ |
$[1, 1, 0, -12716, 184080]$ |
\(y^2+xy=x^3+x^2-12716x+184080\) |
2.6.0.a.1, 44.12.0-2.a.1.1, 56.12.0-2.a.1.1, 408.12.0.?, 616.24.0.?, $\ldots$ |
$[(-32, 764), (-71, 893)]$ |
54978.c4 |
54978h1 |
54978.c |
54978h |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2^{12} \cdot 3 \cdot 7^{7} \cdot 11 \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$31416$ |
$48$ |
$0$ |
$10.39687218$ |
$1$ |
|
$7$ |
$129024$ |
$1.044559$ |
$24464768327/16084992$ |
$0.86177$ |
$3.26129$ |
$[1, 1, 0, 2964, 24144]$ |
\(y^2+xy=x^3+x^2+2964x+24144\) |
2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.2, 56.12.0-4.c.1.4, 408.12.0.?, $\ldots$ |
$[(41, 445), (17, 274)]$ |
54978.d1 |
54978j1 |
54978.d |
54978j |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 11^{2} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$136$ |
$2$ |
$0$ |
$0.745681926$ |
$1$ |
|
$4$ |
$15360$ |
$0.111627$ |
$10100279/592416$ |
$0.86213$ |
$2.25646$ |
$[1, 1, 0, 17, -251]$ |
\(y^2+xy=x^3+x^2+17x-251\) |
136.2.0.? |
$[(7, 13)]$ |
54978.e1 |
54978f1 |
54978.e |
54978f |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2 \cdot 3^{6} \cdot 7^{4} \cdot 11^{2} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$136$ |
$2$ |
$0$ |
$0.620812422$ |
$1$ |
|
$4$ |
$89856$ |
$1.042772$ |
$2267145671/866741634$ |
$0.97112$ |
$3.28155$ |
$[1, 1, 0, 367, -69201]$ |
\(y^2+xy=x^3+x^2+367x-69201\) |
136.2.0.? |
$[(185, 2432)]$ |
54978.f1 |
54978e1 |
54978.f |
54978e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{2} \cdot 3^{9} \cdot 7^{8} \cdot 11^{4} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$204$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1451520$ |
$2.436287$ |
$10898885041935289/5663289836556$ |
$0.97300$ |
$4.80955$ |
$[1, 1, 0, -828223, 92353129]$ |
\(y^2+xy=x^3+x^2-828223x+92353129\) |
204.2.0.? |
$[]$ |
54978.g1 |
54978g1 |
54978.g |
54978g |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2^{8} \cdot 3^{18} \cdot 7^{10} \cdot 11^{3} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7854$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$18724608$ |
$3.724991$ |
$-171327409922416869625/648555833326148352$ |
$1.02323$ |
$6.23651$ |
$[1, 1, 0, -75920870, -699250397292]$ |
\(y^2+xy=x^3+x^2-75920870x-699250397292\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 374.2.0.?, 1122.8.0.?, 7854.16.0.? |
$[]$ |
54978.g2 |
54978g2 |
54978.g |
54978g |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2^{24} \cdot 3^{6} \cdot 7^{10} \cdot 11^{9} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7854$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$56173824$ |
$4.274300$ |
$116684225008772045300375/490264573250642116608$ |
$1.04250$ |
$6.81715$ |
$[1, 1, 0, 667968955, 16626151916109]$ |
\(y^2+xy=x^3+x^2+667968955x+16626151916109\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 374.2.0.?, 1122.8.0.?, 7854.16.0.? |
$[]$ |
54978.h1 |
54978k2 |
54978.h |
54978k |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2^{12} \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 17^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7854$ |
$16$ |
$0$ |
$0.528453876$ |
$1$ |
|
$12$ |
$134784$ |
$1.168474$ |
$-32307371626161625/1992241152$ |
$0.99899$ |
$3.83941$ |
$[1, 1, 0, -24280, 1446208]$ |
\(y^2+xy=x^3+x^2-24280x+1446208\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 374.2.0.?, 1122.8.0.?, 7854.16.0.? |
$[(91, -71), (176, 1544)]$ |
54978.h2 |
54978k1 |
54978.h |
54978k |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2^{4} \cdot 3^{6} \cdot 7^{2} \cdot 11^{3} \cdot 17 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7854$ |
$16$ |
$0$ |
$0.528453876$ |
$1$ |
|
$14$ |
$44928$ |
$0.619167$ |
$-37515625/263921328$ |
$1.11853$ |
$2.81619$ |
$[1, 1, 0, -25, 5461]$ |
\(y^2+xy=x^3+x^2-25x+5461\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 374.2.0.?, 1122.8.0.?, 7854.16.0.? |
$[(70, 559), (-18, 31)]$ |
54978.i1 |
54978b1 |
54978.i |
54978b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2 \cdot 3^{2} \cdot 7^{8} \cdot 11^{10} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$136$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1747200$ |
$2.455891$ |
$-1201016270784841/7936851927906$ |
$0.96693$ |
$4.83830$ |
$[1, 1, 0, -397072, 339227722]$ |
\(y^2+xy=x^3+x^2-397072x+339227722\) |
136.2.0.? |
$[]$ |
54978.j1 |
54978a1 |
54978.j |
54978a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{4} \cdot 3^{3} \cdot 7^{8} \cdot 11^{2} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$204$ |
$2$ |
$0$ |
$0.489329866$ |
$1$ |
|
$6$ |
$96768$ |
$1.128632$ |
$1565539801/888624$ |
$0.88267$ |
$3.36599$ |
$[1, 1, 0, -4337, 13413]$ |
\(y^2+xy=x^3+x^2-4337x+13413\) |
204.2.0.? |
$[(118, 1019)]$ |
54978.k1 |
54978d1 |
54978.k |
54978d |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{8} \cdot 3^{5} \cdot 7^{8} \cdot 11^{2} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$204$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1612800$ |
$2.515179$ |
$6364379231465315641/36980976384$ |
$0.97514$ |
$5.39315$ |
$[1, 1, 0, -6922647, -7013469483]$ |
\(y^2+xy=x^3+x^2-6922647x-7013469483\) |
204.2.0.? |
$[]$ |
54978.l1 |
54978i1 |
54978.l |
54978i |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{20} \cdot 3 \cdot 7^{2} \cdot 11^{2} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$204$ |
$2$ |
$0$ |
$2.906119640$ |
$1$ |
|
$0$ |
$122880$ |
$1.191572$ |
$24652102605677449/6470762496$ |
$0.94898$ |
$3.81463$ |
$[1, 1, 0, -22187, -1281027]$ |
\(y^2+xy=x^3+x^2-22187x-1281027\) |
204.2.0.? |
$[(-2186/5, 5977/5)]$ |
54978.m1 |
54978l2 |
54978.m |
54978l |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{3} \cdot 3^{14} \cdot 7^{6} \cdot 11^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$483840$ |
$1.762722$ |
$204055591784617/78708537864$ |
$1.01941$ |
$4.08852$ |
$[1, 1, 0, -60099, 3249765]$ |
\(y^2+xy=x^3+x^2-60099x+3249765\) |
2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.? |
$[]$ |
54978.m2 |
54978l1 |
54978.m |
54978l |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{6} \cdot 3^{7} \cdot 7^{6} \cdot 11 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$241920$ |
$1.416149$ |
$18052771191337/444958272$ |
$0.94100$ |
$3.86633$ |
$[1, 1, 0, -26779, -1661603]$ |
\(y^2+xy=x^3+x^2-26779x-1661603\) |
2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.? |
$[]$ |
54978.n1 |
54978w1 |
54978.n |
54978w |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{12} \cdot 3 \cdot 7^{8} \cdot 11^{3} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$6.231506626$ |
$1$ |
|
$3$ |
$1216512$ |
$1.919289$ |
$5663453071972249/231607799808$ |
$0.92628$ |
$4.39300$ |
$[1, 0, 1, -181963, 28785782]$ |
\(y^2+xy+y=x^3-181963x+28785782\) |
2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.? |
$[(28431, 4779160)]$ |
54978.n2 |
54978w2 |
54978.n |
54978w |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2^{6} \cdot 3^{2} \cdot 7^{10} \cdot 11^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$3.115753313$ |
$1$ |
|
$4$ |
$2433024$ |
$2.265862$ |
$569125098462311/41650447874112$ |
$0.97777$ |
$4.62520$ |
$[1, 0, 1, 84597, 106088182]$ |
\(y^2+xy+y=x^3+84597x+106088182\) |
2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.? |
$[(-409, 1968)]$ |
54978.o1 |
54978v1 |
54978.o |
54978v |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2^{14} \cdot 3^{6} \cdot 7^{7} \cdot 11^{5} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5236$ |
$2$ |
$0$ |
$0.521558516$ |
$1$ |
|
$6$ |
$7741440$ |
$3.198227$ |
$-4252043951666000571674377/228906357571584$ |
$1.00859$ |
$6.26540$ |
$[1, 0, 1, -165381690, 818600411500]$ |
\(y^2+xy+y=x^3-165381690x+818600411500\) |
5236.2.0.? |
$[(7613, 24417)]$ |
54978.p1 |
54978z2 |
54978.p |
54978z |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{5} \cdot 3^{2} \cdot 7^{6} \cdot 11^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$345600$ |
$1.749901$ |
$2940001530995593/8673562656$ |
$0.97046$ |
$4.33294$ |
$[1, 0, 1, -146242, 21458420]$ |
\(y^2+xy+y=x^3-146242x+21458420\) |
2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.? |
$[]$ |
54978.p2 |
54978z1 |
54978.p |
54978z |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{10} \cdot 3 \cdot 7^{6} \cdot 11^{3} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$172800$ |
$1.403328$ |
$2046931732873/1181672448$ |
$1.02565$ |
$3.66688$ |
$[1, 0, 1, -12962, 26996]$ |
\(y^2+xy+y=x^3-12962x+26996\) |
2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.? |
$[]$ |
54978.q1 |
54978bh4 |
54978.q |
54978bh |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{2} \cdot 3^{20} \cdot 7^{6} \cdot 11^{3} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$31416$ |
$48$ |
$0$ |
$0.937320676$ |
$1$ |
|
$6$ |
$4423680$ |
$2.863220$ |
$12534210458299016895673/315581882565708$ |
$1.02949$ |
$5.73156$ |
$[1, 0, 1, -23713037, -44446618996]$ |
\(y^2+xy+y=x^3-23713037x-44446618996\) |
2.3.0.a.1, 4.6.0.c.1, 168.12.0.?, 264.12.0.?, 308.12.0.?, $\ldots$ |
$[(-2802, 955)]$ |
54978.q2 |
54978bh2 |
54978.q |
54978bh |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{4} \cdot 3^{10} \cdot 7^{6} \cdot 11^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$15708$ |
$48$ |
$0$ |
$0.468660338$ |
$1$ |
|
$18$ |
$2211840$ |
$2.516647$ |
$3423676911662954233/483711578981136$ |
$1.07008$ |
$4.97978$ |
$[1, 0, 1, -1538577, -638755820]$ |
\(y^2+xy+y=x^3-1538577x-638755820\) |
2.6.0.a.1, 84.12.0.?, 132.12.0.?, 204.12.0.?, 308.12.0.?, $\ldots$ |
$[(-646, 9579)]$ |
54978.q3 |
54978bh1 |
54978.q |
54978bh |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{8} \cdot 3^{5} \cdot 7^{6} \cdot 11^{3} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$31416$ |
$48$ |
$0$ |
$0.234330169$ |
$1$ |
|
$13$ |
$1105920$ |
$2.170074$ |
$62768149033310713/6915442583808$ |
$0.98797$ |
$4.61339$ |
$[1, 0, 1, -405697, 89459444]$ |
\(y^2+xy+y=x^3-405697x+89459444\) |
2.3.0.a.1, 4.6.0.c.1, 66.6.0.a.1, 84.12.0.?, 132.12.0.?, $\ldots$ |
$[(187, 4394)]$ |
54978.q4 |
54978bh3 |
54978.q |
54978bh |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2^{2} \cdot 3^{5} \cdot 7^{6} \cdot 11^{12} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$31416$ |
$48$ |
$0$ |
$0.937320676$ |
$1$ |
|
$6$ |
$4423680$ |
$2.863220$ |
$14861225463775641287/51859390496937804$ |
$1.09247$ |
$5.26228$ |
$[1, 0, 1, 2509803, -3432138020]$ |
\(y^2+xy+y=x^3+2509803x-3432138020\) |
2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 102.6.0.?, 204.12.0.?, $\ldots$ |
$[(2468, 132168)]$ |
54978.r1 |
54978x1 |
54978.r |
54978x |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{4} \cdot 3^{3} \cdot 7^{2} \cdot 11^{2} \cdot 17 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$204$ |
$2$ |
$0$ |
$0.411059291$ |
$1$ |
|
$14$ |
$13824$ |
$0.155676$ |
$1565539801/888624$ |
$0.88267$ |
$2.29629$ |
$[1, 0, 1, -89, -52]$ |
\(y^2+xy+y=x^3-89x-52\) |
204.2.0.? |
$[(-6, 19), (27, 118)]$ |
54978.s1 |
54978t1 |
54978.s |
54978t |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2 \cdot 3^{2} \cdot 7^{2} \cdot 11^{10} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$136$ |
$2$ |
$0$ |
$5.869434370$ |
$1$ |
|
$0$ |
$249600$ |
$1.482937$ |
$-1201016270784841/7936851927906$ |
$0.96693$ |
$3.76859$ |
$[1, 0, 1, -8104, -990160]$ |
\(y^2+xy+y=x^3-8104x-990160\) |
136.2.0.? |
$[(245005/4, 120781361/4)]$ |
54978.t1 |
54978q1 |
54978.t |
54978q |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{20} \cdot 3 \cdot 7^{8} \cdot 11^{2} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$204$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$860160$ |
$2.164528$ |
$24652102605677449/6470762496$ |
$0.94898$ |
$4.88433$ |
$[1, 0, 1, -1087189, 436130720]$ |
\(y^2+xy+y=x^3-1087189x+436130720\) |
204.2.0.? |
$[]$ |
54978.u1 |
54978bf1 |
54978.u |
54978bf |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2^{4} \cdot 3^{4} \cdot 7^{7} \cdot 11^{7} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5236$ |
$2$ |
$0$ |
$0.122031180$ |
$1$ |
|
$10$ |
$2064384$ |
$2.590935$ |
$-12791249261627475241/868557554027856$ |
$0.96540$ |
$5.11070$ |
$[1, 0, 1, -2387404, -1501019110]$ |
\(y^2+xy+y=x^3-2387404x-1501019110\) |
5236.2.0.? |
$[(2125, 53915)]$ |
54978.v1 |
54978be1 |
54978.v |
54978be |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{8} \cdot 3^{5} \cdot 7^{2} \cdot 11^{2} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$204$ |
$2$ |
$0$ |
$0.125252436$ |
$1$ |
|
$10$ |
$230400$ |
$1.542223$ |
$6364379231465315641/36980976384$ |
$0.97514$ |
$4.32345$ |
$[1, 0, 1, -141279, 20427250]$ |
\(y^2+xy+y=x^3-141279x+20427250\) |
204.2.0.? |
$[(167, 1140)]$ |
54978.w1 |
54978r1 |
54978.w |
54978r |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{4} \cdot 3^{3} \cdot 7^{8} \cdot 11 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1.948658874$ |
$1$ |
|
$7$ |
$110592$ |
$1.254652$ |
$2441288319625/67293072$ |
$0.87191$ |
$3.68302$ |
$[1, 0, 1, -13746, -606476]$ |
\(y^2+xy+y=x^3-13746x-606476\) |
2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.? |
$[(-76, 63)]$ |
54978.w2 |
54978r2 |
54978.w |
54978r |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2^{2} \cdot 3^{6} \cdot 7^{10} \cdot 11^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$0.974329437$ |
$1$ |
|
$8$ |
$221184$ |
$1.601225$ |
$23271176375/14401707012$ |
$0.95355$ |
$3.89565$ |
$[1, 0, 1, 2914, -1979260]$ |
\(y^2+xy+y=x^3+2914x-1979260\) |
2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.? |
$[(375, 7015)]$ |
54978.x1 |
54978n1 |
54978.x |
54978n |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2^{8} \cdot 3^{18} \cdot 7^{4} \cdot 11^{3} \cdot 17^{3} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$1122$ |
$16$ |
$0$ |
$1.111223167$ |
$1$ |
|
$10$ |
$2674944$ |
$2.752037$ |
$-171327409922416869625/648555833326148352$ |
$1.02323$ |
$5.16681$ |
$[1, 0, 1, -1549406, 2038409552]$ |
\(y^2+xy+y=x^3-1549406x+2038409552\) |
3.8.0-3.a.1.2, 374.2.0.?, 1122.16.0.? |
$[(1173, 42253)]$ |
54978.x2 |
54978n2 |
54978.x |
54978n |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2^{24} \cdot 3^{6} \cdot 7^{4} \cdot 11^{9} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$1122$ |
$16$ |
$0$ |
$3.333669503$ |
$1$ |
|
$2$ |
$8024832$ |
$3.301342$ |
$116684225008772045300375/490264573250642116608$ |
$1.04250$ |
$5.74745$ |
$[1, 0, 1, 13632019, -48470798680]$ |
\(y^2+xy+y=x^3+13632019x-48470798680\) |
3.8.0-3.a.1.1, 374.2.0.?, 1122.16.0.? |
$[(4899, 366190)]$ |
54978.y1 |
54978o2 |
54978.y |
54978o |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2^{12} \cdot 3^{2} \cdot 7^{8} \cdot 11 \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$1122$ |
$16$ |
$0$ |
$6.574175327$ |
$1$ |
|
$2$ |
$943488$ |
$2.141430$ |
$-32307371626161625/1992241152$ |
$0.99899$ |
$4.90911$ |
$[1, 0, 1, -1189746, -499618556]$ |
\(y^2+xy+y=x^3-1189746x-499618556\) |
3.8.0-3.a.1.1, 374.2.0.?, 1122.16.0.? |
$[(5101, 352649)]$ |
54978.y2 |
54978o1 |
54978.y |
54978o |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2^{4} \cdot 3^{6} \cdot 7^{8} \cdot 11^{3} \cdot 17 \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$1122$ |
$16$ |
$0$ |
$2.191391775$ |
$1$ |
|
$8$ |
$314496$ |
$1.592123$ |
$-37515625/263921328$ |
$1.11853$ |
$3.88589$ |
$[1, 0, 1, -1251, -1876850]$ |
\(y^2+xy+y=x^3-1251x-1876850\) |
3.8.0-3.a.1.2, 374.2.0.?, 1122.16.0.? |
$[(151, 1100)]$ |
54978.z1 |
54978s1 |
54978.z |
54978s |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2^{2} \cdot 3^{2} \cdot 7^{11} \cdot 11 \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5236$ |
$2$ |
$0$ |
$1.299272735$ |
$1$ |
|
$2$ |
$122880$ |
$1.199411$ |
$-6321363049/113144724$ |
$1.01108$ |
$3.45463$ |
$[1, 0, 1, -1888, -178510]$ |
\(y^2+xy+y=x^3-1888x-178510\) |
5236.2.0.? |
$[(375, 7015)]$ |
54978.ba1 |
54978bd1 |
54978.ba |
54978bd |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{2} \cdot 3^{9} \cdot 7^{2} \cdot 11^{4} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$204$ |
$2$ |
$0$ |
$0.063604699$ |
$1$ |
|
$10$ |
$207360$ |
$1.463331$ |
$10898885041935289/5663289836556$ |
$0.97300$ |
$3.73985$ |
$[1, 0, 1, -16903, -271666]$ |
\(y^2+xy+y=x^3-16903x-271666\) |
204.2.0.? |
$[(-107, 614)]$ |
54978.bb1 |
54978ba1 |
54978.bb |
54978ba |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2 \cdot 3^{6} \cdot 7^{10} \cdot 11^{2} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$136$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$628992$ |
$2.015728$ |
$2267145671/866741634$ |
$0.97112$ |
$4.35125$ |
$[1, 0, 1, 17957, 23789840]$ |
\(y^2+xy+y=x^3+17957x+23789840\) |
136.2.0.? |
$[]$ |
54978.bc1 |
54978p1 |
54978.bc |
54978p |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2^{5} \cdot 3^{2} \cdot 7^{8} \cdot 11^{2} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$136$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$107520$ |
$1.084583$ |
$10100279/592416$ |
$0.86213$ |
$3.32616$ |
$[1, 0, 1, 807, 88540]$ |
\(y^2+xy+y=x^3+807x+88540\) |
136.2.0.? |
$[]$ |
54978.bd1 |
54978y4 |
54978.bd |
54978y |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{2} \cdot 3^{3} \cdot 7^{7} \cdot 11^{4} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$31416$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$884736$ |
$2.177227$ |
$35618855581745079337/188166132$ |
$0.96847$ |
$5.19436$ |
$[1, 0, 1, -3358780, -2369581546]$ |
\(y^2+xy+y=x^3-3358780x-2369581546\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 616.24.0.?, 714.6.0.?, 1428.24.0.?, $\ldots$ |
$[]$ |
54978.bd2 |
54978y2 |
54978.bd |
54978y |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{4} \cdot 3^{6} \cdot 7^{8} \cdot 11^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$15708$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$442368$ |
$1.830656$ |
$8710408612492777/19986042384$ |
$0.92796$ |
$4.43245$ |
$[1, 0, 1, -210040, -36994954]$ |
\(y^2+xy+y=x^3-210040x-36994954\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 308.24.0.?, 1428.24.0.?, 2244.24.0.?, $\ldots$ |
$[]$ |
54978.bd3 |
54978y3 |
54978.bd |
54978y |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2^{2} \cdot 3^{12} \cdot 7^{7} \cdot 11 \cdot 17^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$31416$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$884736$ |
$2.177227$ |
$-2291249615386537/13671036998388$ |
$0.95306$ |
$4.53234$ |
$[1, 0, 1, -134580, -63919082]$ |
\(y^2+xy+y=x^3-134580x-63919082\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 308.24.0.?, 2856.24.0.?, 4488.24.0.?, $\ldots$ |
$[]$ |
54978.bd4 |
54978y1 |
54978.bd |
54978y |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{8} \cdot 3^{3} \cdot 7^{10} \cdot 11 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$31416$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$221184$ |
$1.484081$ |
$5445273626857/3103398144$ |
$0.93655$ |
$3.75652$ |
$[1, 0, 1, -17960, -115594]$ |
\(y^2+xy+y=x^3-17960x-115594\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 308.12.0.?, 616.24.0.?, $\ldots$ |
$[]$ |
54978.be1 |
54978bg4 |
54978.be |
54978bg |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{3} \cdot 3^{7} \cdot 7^{6} \cdot 11^{4} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$31416$ |
$48$ |
$0$ |
$4.606940431$ |
$1$ |
|
$2$ |
$4128768$ |
$2.854290$ |
$441453577446719855661097/4354701912$ |
$1.03915$ |
$6.05788$ |
$[1, 0, 1, -77729020, -263774958142]$ |
\(y^2+xy+y=x^3-77729020x-263774958142\) |
2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 264.12.0.?, 408.12.0.?, $\ldots$ |
$[(31966, 5453519)]$ |
54978.be2 |
54978bg2 |
54978.be |
54978bg |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{6} \cdot 3^{14} \cdot 7^{6} \cdot 11^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$31416$ |
$48$ |
$0$ |
$2.303470215$ |
$1$ |
|
$8$ |
$2064384$ |
$2.507717$ |
$107784459654566688937/10704361149504$ |
$1.01463$ |
$5.29581$ |
$[1, 0, 1, -4858180, -4121581054]$ |
\(y^2+xy+y=x^3-4858180x-4121581054\) |
2.6.0.a.1, 84.12.0.?, 132.12.0.?, 308.12.0.?, 408.12.0.?, $\ldots$ |
$[(-1280, 257)]$ |