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 |
25168.a1 |
25168m1 |
25168.a |
25168m |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( - 2^{11} \cdot 11^{8} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$104$ |
$2$ |
$0$ |
$0.889216277$ |
$1$ |
|
$4$ |
$99840$ |
$1.133947$ |
$1317006/1573$ |
$0.79865$ |
$3.56890$ |
$[0, 0, 0, 3509, 82522]$ |
\(y^2=x^3+3509x+82522\) |
104.2.0.? |
$[(33, 484)]$ |
25168.b1 |
25168bo1 |
25168.b |
25168bo |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( - 2^{15} \cdot 11^{11} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$172800$ |
$1.982483$ |
$-31824875809/16749304$ |
$0.91184$ |
$4.69100$ |
$[0, 1, 0, -127816, -24346764]$ |
\(y^2=x^3+x^2-127816x-24346764\) |
1144.2.0.? |
$[ ]$ |
25168.c1 |
25168bd1 |
25168.c |
25168bd |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( - 2^{13} \cdot 11^{7} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1144$ |
$2$ |
$0$ |
$1.033046781$ |
$1$ |
|
$2$ |
$34560$ |
$1.042313$ |
$-1/286$ |
$0.98503$ |
$3.53446$ |
$[0, 1, 0, -40, -69324]$ |
\(y^2=x^3+x^2-40x-69324\) |
1144.2.0.? |
$[(84, 726)]$ |
25168.d1 |
25168k1 |
25168.d |
25168k |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( - 2^{11} \cdot 11^{7} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1144$ |
$2$ |
$0$ |
$0.660197382$ |
$1$ |
|
$4$ |
$42240$ |
$1.173399$ |
$-162365474/143$ |
$0.83046$ |
$4.03805$ |
$[0, 1, 0, -17464, 883188]$ |
\(y^2=x^3+x^2-17464x+883188\) |
1144.2.0.? |
$[(106, 484)]$ |
25168.e1 |
25168d1 |
25168.e |
25168d |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( 2^{10} \cdot 11^{2} \cdot 13 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$0.640590382$ |
$1$ |
|
$12$ |
$3840$ |
$-0.095716$ |
$58564/13$ |
$0.84818$ |
$2.24064$ |
$[0, -1, 0, -40, -64]$ |
\(y^2=x^3-x^2-40x-64\) |
26.2.0.a.1 |
$[(-4, 4), (-2, 2)]$ |
25168.f1 |
25168j1 |
25168.f |
25168j |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( 2^{10} \cdot 11^{8} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$0.332608843$ |
$1$ |
|
$6$ |
$42240$ |
$1.103231$ |
$58564/13$ |
$0.84818$ |
$3.66045$ |
$[0, -1, 0, -4880, 104656]$ |
\(y^2=x^3-x^2-4880x+104656\) |
26.2.0.a.1 |
$[(-40, 484)]$ |
25168.g1 |
25168bb3 |
25168.g |
25168bb |
$3$ |
$9$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( - 2^{21} \cdot 11^{6} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$10296$ |
$144$ |
$3$ |
$8.323604404$ |
$1$ |
|
$0$ |
$155520$ |
$1.946482$ |
$-10730978619193/6656$ |
$1.02193$ |
$5.20158$ |
$[0, -1, 0, -889632, -322674944]$ |
\(y^2=x^3-x^2-889632x-322674944\) |
3.4.0.a.1, 9.12.0.a.1, 104.2.0.?, 117.36.0.?, 132.8.0.?, $\ldots$ |
$[(77034/5, 20226602/5)]$ |
25168.g2 |
25168bb2 |
25168.g |
25168bb |
$3$ |
$9$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( - 2^{15} \cdot 11^{6} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.12.0.1 |
3Cs |
$10296$ |
$144$ |
$3$ |
$2.774534801$ |
$1$ |
|
$2$ |
$51840$ |
$1.397175$ |
$-10218313/17576$ |
$0.94717$ |
$3.96949$ |
$[0, -1, 0, -8752, -625216]$ |
\(y^2=x^3-x^2-8752x-625216\) |
3.12.0.a.1, 104.2.0.?, 117.36.0.?, 132.24.0.?, 312.24.1.?, $\ldots$ |
$[(290, 4598)]$ |
25168.g3 |
25168bb1 |
25168.g |
25168bb |
$3$ |
$9$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( - 2^{13} \cdot 11^{6} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$10296$ |
$144$ |
$3$ |
$0.924844933$ |
$1$ |
|
$4$ |
$17280$ |
$0.847869$ |
$12167/26$ |
$0.84415$ |
$3.26666$ |
$[0, -1, 0, 928, 17536]$ |
\(y^2=x^3-x^2+928x+17536\) |
3.4.0.a.1, 9.12.0.a.1, 104.2.0.?, 117.36.0.?, 132.8.0.?, $\ldots$ |
$[(26, 242)]$ |
25168.h1 |
25168b1 |
25168.h |
25168b |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( - 2^{8} \cdot 11^{7} \cdot 13^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$0.862362027$ |
$1$ |
|
$8$ |
$38400$ |
$1.265368$ |
$-6072054784/1859$ |
$0.86901$ |
$4.19014$ |
$[0, -1, 0, -29201, 1930909]$ |
\(y^2=x^3-x^2-29201x+1930909\) |
22.2.0.a.1 |
$[(92, 121), (180, 1573)]$ |
25168.i1 |
25168g1 |
25168.i |
25168g |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( - 2^{8} \cdot 11^{13} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1.457699529$ |
$1$ |
|
$2$ |
$268800$ |
$2.200268$ |
$-10333900063744/3293331899$ |
$0.95247$ |
$4.96754$ |
$[0, -1, 0, -348641, 98785117]$ |
\(y^2=x^3-x^2-348641x+98785117\) |
22.2.0.a.1 |
$[(2996, 161051)]$ |
25168.j1 |
25168h1 |
25168.j |
25168h |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( - 2^{11} \cdot 11^{6} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$104$ |
$2$ |
$0$ |
$3.412555251$ |
$1$ |
|
$2$ |
$22400$ |
$0.805916$ |
$-235298/13$ |
$0.96559$ |
$3.40182$ |
$[0, -1, 0, -1976, -34736]$ |
\(y^2=x^3-x^2-1976x-34736\) |
104.2.0.? |
$[(642, 16214)]$ |
25168.k1 |
25168z2 |
25168.k |
25168z |
$2$ |
$3$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1716$ |
$16$ |
$0$ |
$5.288298303$ |
$1$ |
|
$0$ |
$10368$ |
$0.558364$ |
$11107182592000/13$ |
$1.00804$ |
$3.71122$ |
$[0, -1, 0, -5793, -167792]$ |
\(y^2=x^3-x^2-5793x-167792\) |
3.4.0.a.1, 26.2.0.a.1, 78.8.0.?, 132.8.0.?, 1716.16.0.? |
$[(-15744/19, 20/19)]$ |
25168.k2 |
25168z1 |
25168.k |
25168z |
$2$ |
$3$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( 2^{4} \cdot 11^{2} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1716$ |
$16$ |
$0$ |
$1.762766101$ |
$1$ |
|
$2$ |
$3456$ |
$0.009057$ |
$22528000/2197$ |
$0.87132$ |
$2.41763$ |
$[0, -1, 0, -73, -196]$ |
\(y^2=x^3-x^2-73x-196\) |
3.4.0.a.1, 26.2.0.a.1, 78.8.0.?, 132.8.0.?, 1716.16.0.? |
$[(-4, 4)]$ |
25168.l1 |
25168bm2 |
25168.l |
25168bm |
$2$ |
$3$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( 2^{14} \cdot 11^{4} \cdot 13^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$156$ |
$16$ |
$0$ |
$0.204380157$ |
$1$ |
|
$18$ |
$48384$ |
$1.297899$ |
$115636266625/8788$ |
$0.96550$ |
$4.28123$ |
$[0, -1, 0, -39728, 3060928]$ |
\(y^2=x^3-x^2-39728x+3060928\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 26.2.0.a.1, 78.8.0.?, 156.16.0.? |
$[(104, 208), (312, 4576)]$ |
25168.l2 |
25168bm1 |
25168.l |
25168bm |
$2$ |
$3$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( 2^{18} \cdot 11^{4} \cdot 13 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$156$ |
$16$ |
$0$ |
$1.839421418$ |
$1$ |
|
$10$ |
$16128$ |
$0.748593$ |
$1890625/832$ |
$0.97154$ |
$3.19360$ |
$[0, -1, 0, -1008, -5696]$ |
\(y^2=x^3-x^2-1008x-5696\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 26.2.0.a.1, 78.8.0.?, 156.16.0.? |
$[(-24, 64), (40, 128)]$ |
25168.m1 |
25168bl2 |
25168.m |
25168bl |
$2$ |
$3$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( 2^{42} \cdot 11^{8} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$156$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1140480$ |
$2.964882$ |
$100638995169625/13958643712$ |
$0.98640$ |
$5.89574$ |
$[0, -1, 0, -9279288, 9489900400]$ |
\(y^2=x^3-x^2-9279288x+9489900400\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 26.2.0.a.1, 78.8.0.?, 156.16.0.? |
$[ ]$ |
25168.m2 |
25168bl1 |
25168.m |
25168bl |
$2$ |
$3$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( 2^{22} \cdot 11^{8} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$156$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$380160$ |
$2.415573$ |
$1651590939625/2249728$ |
$0.95696$ |
$5.49017$ |
$[0, -1, 0, -2358088, -1391333392]$ |
\(y^2=x^3-x^2-2358088x-1391333392\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 26.2.0.a.1, 78.8.0.?, 156.16.0.? |
$[ ]$ |
25168.n1 |
25168x2 |
25168.n |
25168x |
$2$ |
$3$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( 2^{42} \cdot 11^{2} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1716$ |
$16$ |
$0$ |
$3.670139167$ |
$1$ |
|
$0$ |
$103680$ |
$1.765934$ |
$100638995169625/13958643712$ |
$0.98640$ |
$4.47593$ |
$[0, -1, 0, -76688, -7102016]$ |
\(y^2=x^3-x^2-76688x-7102016\) |
3.4.0.a.1, 26.2.0.a.1, 78.8.0.?, 132.8.0.?, 1716.16.0.? |
$[(24536/5, 3670016/5)]$ |
25168.n2 |
25168x1 |
25168.n |
25168x |
$2$ |
$3$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( 2^{22} \cdot 11^{2} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1716$ |
$16$ |
$0$ |
$1.223379722$ |
$1$ |
|
$2$ |
$34560$ |
$1.216627$ |
$1651590939625/2249728$ |
$0.95696$ |
$4.07036$ |
$[0, -1, 0, -19488, 1052416]$ |
\(y^2=x^3-x^2-19488x+1052416\) |
3.4.0.a.1, 26.2.0.a.1, 78.8.0.?, 132.8.0.?, 1716.16.0.? |
$[(112, 512)]$ |
25168.o1 |
25168y2 |
25168.o |
25168y |
$2$ |
$3$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( 2^{14} \cdot 11^{10} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1716$ |
$16$ |
$0$ |
$10.90781577$ |
$1$ |
|
$0$ |
$532224$ |
$2.496849$ |
$115636266625/8788$ |
$0.96550$ |
$5.70103$ |
$[0, -1, 0, -4807128, -4054866704]$ |
\(y^2=x^3-x^2-4807128x-4054866704\) |
3.4.0.a.1, 26.2.0.a.1, 78.8.0.?, 132.8.0.?, 1716.16.0.? |
$[(-1547636/35, 21394288/35)]$ |
25168.o2 |
25168y1 |
25168.o |
25168y |
$2$ |
$3$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( 2^{18} \cdot 11^{10} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1716$ |
$16$ |
$0$ |
$3.635938590$ |
$1$ |
|
$2$ |
$177408$ |
$1.947540$ |
$1890625/832$ |
$0.97154$ |
$4.61340$ |
$[0, -1, 0, -122008, 8069360]$ |
\(y^2=x^3-x^2-122008x+8069360\) |
3.4.0.a.1, 26.2.0.a.1, 78.8.0.?, 132.8.0.?, 1716.16.0.? |
$[(-116, 4544)]$ |
25168.p1 |
25168bn2 |
25168.p |
25168bn |
$2$ |
$3$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( 2^{4} \cdot 11^{8} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$156$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$114048$ |
$1.757311$ |
$11107182592000/13$ |
$1.00804$ |
$5.13103$ |
$[0, -1, 0, -700993, 226135076]$ |
\(y^2=x^3-x^2-700993x+226135076\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 26.2.0.a.1, 78.8.0.?, 156.16.0.? |
$[ ]$ |
25168.p2 |
25168bn1 |
25168.p |
25168bn |
$2$ |
$3$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( 2^{4} \cdot 11^{8} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$156$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$38016$ |
$1.208006$ |
$22528000/2197$ |
$0.87132$ |
$3.83744$ |
$[0, -1, 0, -8873, 296320]$ |
\(y^2=x^3-x^2-8873x+296320\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 26.2.0.a.1, 78.8.0.?, 156.16.0.? |
$[ ]$ |
25168.q1 |
25168i1 |
25168.q |
25168i |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$1.291481325$ |
$1$ |
|
$2$ |
$1536$ |
$-0.466024$ |
$22528/13$ |
$0.86809$ |
$1.73594$ |
$[0, -1, 0, -7, 2]$ |
\(y^2=x^3-x^2-7x+2\) |
26.2.0.a.1 |
$[(-2, 2)]$ |
25168.r1 |
25168c1 |
25168.r |
25168c |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( 2^{4} \cdot 11^{8} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16896$ |
$0.732924$ |
$22528/13$ |
$0.86809$ |
$3.15575$ |
$[0, -1, 0, -887, 838]$ |
\(y^2=x^3-x^2-887x+838\) |
26.2.0.a.1 |
$[ ]$ |
25168.s1 |
25168ba2 |
25168.s |
25168ba |
$2$ |
$3$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( - 2^{8} \cdot 11^{7} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$132$ |
$16$ |
$0$ |
$3.283647621$ |
$1$ |
|
$0$ |
$172800$ |
$1.925844$ |
$-2009615368192/53094899$ |
$0.98401$ |
$4.76706$ |
$[0, -1, 0, -201989, -35662823]$ |
\(y^2=x^3-x^2-201989x-35662823\) |
3.4.0.a.1, 12.8.0-3.a.1.4, 22.2.0.a.1, 66.8.0.a.1, 132.16.0.? |
$[(18536/5, 1860859/5)]$ |
25168.s2 |
25168ba1 |
25168.s |
25168ba |
$2$ |
$3$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( - 2^{8} \cdot 11^{9} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$132$ |
$16$ |
$0$ |
$1.094549207$ |
$1$ |
|
$2$ |
$57600$ |
$1.376537$ |
$321978368/224939$ |
$0.94569$ |
$3.90025$ |
$[0, -1, 0, 10971, -204983]$ |
\(y^2=x^3-x^2+10971x-204983\) |
3.4.0.a.1, 12.8.0-3.a.1.3, 22.2.0.a.1, 66.8.0.a.1, 132.16.0.? |
$[(664, 17303)]$ |
25168.t1 |
25168p1 |
25168.t |
25168p |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( - 2^{19} \cdot 11^{3} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1144$ |
$2$ |
$0$ |
$0.691028066$ |
$1$ |
|
$4$ |
$8064$ |
$0.600039$ |
$2803221/1664$ |
$1.09157$ |
$2.99583$ |
$[0, 0, 0, 517, -726]$ |
\(y^2=x^3+517x-726\) |
1144.2.0.? |
$[(77, 704)]$ |
25168.u1 |
25168n1 |
25168.u |
25168n |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( - 2^{19} \cdot 11^{9} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$88704$ |
$1.798986$ |
$2803221/1664$ |
$1.09157$ |
$4.41564$ |
$[0, 0, 0, 62557, 966306]$ |
\(y^2=x^3+62557x+966306\) |
1144.2.0.? |
$[ ]$ |
25168.v1 |
25168be1 |
25168.v |
25168be |
$2$ |
$2$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( 2^{4} \cdot 11^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$1144$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8400$ |
$0.421075$ |
$442368/13$ |
$1.27279$ |
$2.97630$ |
$[0, 0, 0, -484, -3993]$ |
\(y^2=x^3-484x-3993\) |
2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.24.0.e.1, 88.12.0.?, $\ldots$ |
$[ ]$ |
25168.v2 |
25168be2 |
25168.v |
25168be |
$2$ |
$2$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( - 2^{8} \cdot 11^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$1144$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$16800$ |
$0.767649$ |
$432/169$ |
$1.09219$ |
$3.20879$ |
$[0, 0, 0, 121, -13310]$ |
\(y^2=x^3+121x-13310\) |
2.3.0.a.1, 4.6.0.a.1, 52.12.0.d.1, 88.12.0.?, 104.24.0.?, $\ldots$ |
$[ ]$ |
25168.w1 |
25168v1 |
25168.w |
25168v |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( - 2^{25} \cdot 11^{8} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$104$ |
$2$ |
$0$ |
$1.416678771$ |
$1$ |
|
$4$ |
$299520$ |
$1.936092$ |
$241804367/12886016$ |
$0.94938$ |
$4.59085$ |
$[0, 1, 0, 25128, 14640404]$ |
\(y^2=x^3+x^2+25128x+14640404\) |
104.2.0.? |
$[(1558, 61952)]$ |
25168.x1 |
25168bj1 |
25168.x |
25168bj |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( 2^{12} \cdot 11^{2} \cdot 13^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$0.555193267$ |
$1$ |
|
$10$ |
$9216$ |
$0.435501$ |
$6289657/2197$ |
$0.84445$ |
$2.83895$ |
$[0, 1, 0, -304, -1388]$ |
\(y^2=x^3+x^2-304x-1388\) |
26.2.0.a.1 |
$[(-12, 26), (66, 520)]$ |
25168.y1 |
25168u1 |
25168.y |
25168u |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( 2^{12} \cdot 11^{8} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$1.146430525$ |
$1$ |
|
$4$ |
$101376$ |
$1.634449$ |
$6289657/2197$ |
$0.84445$ |
$4.25875$ |
$[0, 1, 0, -36824, 1700180]$ |
\(y^2=x^3+x^2-36824x+1700180\) |
26.2.0.a.1 |
$[(-202, 968)]$ |
25168.z1 |
25168bh1 |
25168.z |
25168bh |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( - 2^{12} \cdot 11^{7} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$34560$ |
$1.202597$ |
$-262144/1859$ |
$0.89320$ |
$3.72692$ |
$[0, 1, 0, -2581, -184637]$ |
\(y^2=x^3+x^2-2581x-184637\) |
22.2.0.a.1 |
$[ ]$ |
25168.ba1 |
25168bg1 |
25168.ba |
25168bg |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( - 2^{15} \cdot 11^{8} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$104$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$69120$ |
$1.547899$ |
$-4165509529/12584$ |
$0.87863$ |
$4.42702$ |
$[0, 1, 0, -64896, 6358196]$ |
\(y^2=x^3+x^2-64896x+6358196\) |
104.2.0.? |
$[ ]$ |
25168.bb1 |
25168a1 |
25168.bb |
25168a |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( 2^{4} \cdot 11^{8} \cdot 13^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$84480$ |
$1.635014$ |
$3748096000/371293$ |
$1.03908$ |
$4.34213$ |
$[0, 1, 0, -48803, -3794188]$ |
\(y^2=x^3+x^2-48803x-3794188\) |
26.2.0.a.1 |
$[ ]$ |
25168.bc1 |
25168bf1 |
25168.bc |
25168bf |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( 2^{4} \cdot 11^{8} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$25344$ |
$0.989135$ |
$22528000/13$ |
$0.86590$ |
$3.83744$ |
$[0, 1, 0, -8873, 318602]$ |
\(y^2=x^3+x^2-8873x+318602\) |
26.2.0.a.1 |
$[ ]$ |
25168.bd1 |
25168r1 |
25168.bd |
25168r |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$4.383241453$ |
$1$ |
|
$0$ |
$2304$ |
$-0.209813$ |
$22528000/13$ |
$0.86590$ |
$2.41763$ |
$[0, 1, 0, -73, -266]$ |
\(y^2=x^3+x^2-73x-266\) |
26.2.0.a.1 |
$[(-258/7, 118/7)]$ |
25168.be1 |
25168f1 |
25168.be |
25168f |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( 2^{4} \cdot 11^{2} \cdot 13^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$0.940450107$ |
$1$ |
|
$2$ |
$7680$ |
$0.436066$ |
$3748096000/371293$ |
$1.03908$ |
$2.92233$ |
$[0, 1, 0, -403, 2704]$ |
\(y^2=x^3+x^2-403x+2704\) |
26.2.0.a.1 |
$[(0, 52)]$ |
25168.bf1 |
25168s2 |
25168.bf |
25168s |
$2$ |
$5$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( - 2^{13} \cdot 11^{16} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$5720$ |
$48$ |
$1$ |
$32.46451927$ |
$1$ |
|
$0$ |
$1728000$ |
$3.143349$ |
$-2409558590804994721/674373039626$ |
$1.10476$ |
$6.41759$ |
$[0, 1, 0, -54072520, -153097872908]$ |
\(y^2=x^3+x^2-54072520x-153097872908\) |
5.12.0.a.2, 104.2.0.?, 220.24.0.?, 520.24.1.?, 5720.48.1.? |
$[(4519999624547926/695625, 133339760600572039608424/695625)]$ |
25168.bf2 |
25168s1 |
25168.bf |
25168s |
$2$ |
$5$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( - 2^{17} \cdot 11^{8} \cdot 13^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$5720$ |
$48$ |
$1$ |
$6.492903855$ |
$1$ |
|
$0$ |
$345600$ |
$2.338631$ |
$2427173723519/1437646496$ |
$0.99639$ |
$5.05489$ |
$[0, 1, 0, 542040, 23735732]$ |
\(y^2=x^3+x^2+542040x+23735732\) |
5.12.0.a.1, 104.2.0.?, 220.24.0.?, 520.24.1.?, 5720.48.1.? |
$[(65854/3, 16986464/3)]$ |
25168.bg1 |
25168bi1 |
25168.bg |
25168bi |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( 2^{24} \cdot 11^{2} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13824$ |
$0.784509$ |
$2224882033/53248$ |
$0.90167$ |
$3.41808$ |
$[0, 1, 0, -2152, -38348]$ |
\(y^2=x^3+x^2-2152x-38348\) |
26.2.0.a.1 |
$[ ]$ |
25168.bh1 |
25168t1 |
25168.bh |
25168t |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( 2^{24} \cdot 11^{8} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$5.367512413$ |
$1$ |
|
$0$ |
$152064$ |
$1.983456$ |
$2224882033/53248$ |
$0.90167$ |
$4.83789$ |
$[0, 1, 0, -260432, 49999508]$ |
\(y^2=x^3+x^2-260432x+49999508\) |
26.2.0.a.1 |
$[(8594/5, 137728/5)]$ |
25168.bi1 |
25168w1 |
25168.bi |
25168w |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( 2^{4} \cdot 11^{10} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$10.72619251$ |
$1$ |
|
$0$ |
$76032$ |
$1.278753$ |
$1982464/13$ |
$1.00301$ |
$4.07086$ |
$[0, 1, 0, -19521, 1037342]$ |
\(y^2=x^3+x^2-19521x+1037342\) |
26.2.0.a.1 |
$[(-23306/15, 4723478/15)]$ |
25168.bj1 |
25168bk1 |
25168.bj |
25168bk |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( 2^{4} \cdot 11^{4} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6912$ |
$0.079807$ |
$1982464/13$ |
$1.00301$ |
$2.65106$ |
$[0, 1, 0, -161, -838]$ |
\(y^2=x^3+x^2-161x-838\) |
26.2.0.a.1 |
$[ ]$ |
25168.bk1 |
25168bc1 |
25168.bk |
25168bc |
$2$ |
$3$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( - 2^{17} \cdot 11^{7} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3432$ |
$16$ |
$0$ |
$3.157180803$ |
$1$ |
|
$0$ |
$172800$ |
$1.702597$ |
$-30664297/773344$ |
$0.91386$ |
$4.31655$ |
$[0, -1, 0, -12624, 3649472]$ |
\(y^2=x^3-x^2-12624x+3649472\) |
3.4.0.a.1, 132.8.0.?, 312.8.0.?, 1144.2.0.?, 3432.16.0.? |
$[(-1064/3, 50336/3)]$ |
25168.bk2 |
25168bc2 |
25168.bk |
25168bc |
$2$ |
$3$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( - 2^{27} \cdot 11^{9} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3432$ |
$16$ |
$0$ |
$9.471542409$ |
$1$ |
|
$0$ |
$518400$ |
$2.251904$ |
$22117051943/566984704$ |
$1.12064$ |
$4.96311$ |
$[0, -1, 0, 113216, -96519168]$ |
\(y^2=x^3-x^2+113216x-96519168\) |
3.4.0.a.1, 132.8.0.?, 312.8.0.?, 1144.2.0.?, 3432.16.0.? |
$[(5914144/75, 14514486272/75)]$ |
25168.bl1 |
25168q1 |
25168.bl |
25168q |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( - 2^{8} \cdot 11^{9} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1.750157689$ |
$1$ |
|
$0$ |
$139392$ |
$1.386953$ |
$-221184/169$ |
$0.84294$ |
$3.97448$ |
$[0, 0, 0, -10648, 644204]$ |
\(y^2=x^3-10648x+644204\) |
22.2.0.a.1 |
$[(1210/3, 34606/3)]$ |