| 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 |
| 4400.a1 |
4400e1 |
4400.a |
4400e |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( - 2^{8} \cdot 5^{6} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1728$ |
$0.175507$ |
$-27648/11$ |
$0.78666$ |
$3.09349$ |
$[0, 0, 0, -100, -500]$ |
\(y^2=x^3-100x-500\) |
22.2.0.a.1 |
$[ ]$ |
| 4400.b1 |
4400be1 |
4400.b |
4400be |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( - 2^{23} \cdot 5^{9} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$21120$ |
$1.418253$ |
$-2803221/22528$ |
$0.99503$ |
$4.80960$ |
$[0, 0, 0, -5875, -668750]$ |
\(y^2=x^3-5875x-668750\) |
440.2.0.? |
$[ ]$ |
| 4400.c1 |
4400g2 |
4400.c |
4400g |
$2$ |
$2$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( 2^{10} \cdot 5^{3} \cdot 11^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$0.393283948$ |
$1$ |
|
$27$ |
$1280$ |
$0.095312$ |
$595508/121$ |
$0.81005$ |
$2.98675$ |
$[0, 1, 0, -88, 228]$ |
\(y^2=x^3+x^2-88x+228\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.d.1, 220.12.0.? |
$[(14, 44), (8, 10)]$ |
| 4400.c2 |
4400g1 |
4400.c |
4400g |
$2$ |
$2$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( - 2^{8} \cdot 5^{3} \cdot 11 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1.573135795$ |
$1$ |
|
$15$ |
$640$ |
$-0.251262$ |
$5488/11$ |
$0.68672$ |
$2.37031$ |
$[0, 1, 0, 12, 28]$ |
\(y^2=x^3+x^2+12x+28\) |
2.3.0.a.1, 20.6.0.c.1, 44.6.0.d.1, 110.6.0.?, 220.12.0.? |
$[(2, 8), (-1, 4)]$ |
| 4400.d1 |
4400u2 |
4400.d |
4400u |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( - 2^{15} \cdot 5^{2} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1320$ |
$16$ |
$0$ |
$0.118600898$ |
$1$ |
|
$8$ |
$2592$ |
$0.457223$ |
$-53969305/10648$ |
$0.89387$ |
$3.53232$ |
$[0, 1, 0, -368, 3028]$ |
\(y^2=x^3+x^2-368x+3028\) |
3.4.0.a.1, 60.8.0-3.a.1.1, 88.2.0.?, 264.8.0.?, 1320.16.0.? |
$[(34, 176)]$ |
| 4400.d2 |
4400u1 |
4400.d |
4400u |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( - 2^{13} \cdot 5^{2} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1320$ |
$16$ |
$0$ |
$0.355802696$ |
$1$ |
|
$6$ |
$864$ |
$-0.092083$ |
$34295/22$ |
$0.82040$ |
$2.61991$ |
$[0, 1, 0, 32, -12]$ |
\(y^2=x^3+x^2+32x-12\) |
3.4.0.a.1, 60.8.0-3.a.1.2, 88.2.0.?, 264.8.0.?, 1320.16.0.? |
$[(2, 8)]$ |
| 4400.e1 |
4400t4 |
4400.e |
4400t |
$4$ |
$6$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 5^{8} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$660$ |
$96$ |
$1$ |
$0.911760877$ |
$1$ |
|
$5$ |
$20736$ |
$1.519169$ |
$154639330142416/33275$ |
$0.97344$ |
$5.70650$ |
$[0, 1, 0, -177508, 28726488]$ |
\(y^2=x^3+x^2-177508x+28726488\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.8, 20.6.0.c.1, $\ldots$ |
$[(263, 550)]$ |
| 4400.e2 |
4400t3 |
4400.e |
4400t |
$4$ |
$6$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( 2^{4} \cdot 5^{7} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$660$ |
$96$ |
$1$ |
$0.455880438$ |
$1$ |
|
$5$ |
$10368$ |
$1.172596$ |
$610462990336/8857805$ |
$1.02612$ |
$4.71630$ |
$[0, 1, 0, -11133, 442738]$ |
\(y^2=x^3+x^2-11133x+442738\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 12.24.0-6.a.1.4, $\ldots$ |
$[(98, 550)]$ |
| 4400.e3 |
4400t2 |
4400.e |
4400t |
$4$ |
$6$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 5^{12} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$660$ |
$96$ |
$1$ |
$2.735282632$ |
$1$ |
|
$3$ |
$6912$ |
$0.969863$ |
$436334416/171875$ |
$0.87819$ |
$4.18336$ |
$[0, 1, 0, -2508, 26488]$ |
\(y^2=x^3+x^2-2508x+26488\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.2, 20.6.0.c.1, $\ldots$ |
$[(63, 350)]$ |
| 4400.e4 |
4400t1 |
4400.e |
4400t |
$4$ |
$6$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( 2^{4} \cdot 5^{9} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$660$ |
$96$ |
$1$ |
$1.367641316$ |
$1$ |
|
$3$ |
$3456$ |
$0.623289$ |
$643956736/15125$ |
$0.96705$ |
$3.89927$ |
$[0, 1, 0, -1133, -14762]$ |
\(y^2=x^3+x^2-1133x-14762\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 12.24.0-6.a.1.10, $\ldots$ |
$[(198, 2750)]$ |
| 4400.f1 |
4400y2 |
4400.f |
4400y |
$2$ |
$2$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( 2^{14} \cdot 5^{9} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1.881646019$ |
$1$ |
|
$5$ |
$11520$ |
$1.371616$ |
$1039509197/484$ |
$0.93121$ |
$5.19285$ |
$[0, 1, 0, -42208, -3350412]$ |
\(y^2=x^3+x^2-42208x-3350412\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.d.1, 220.12.0.? |
$[(-118, 32)]$ |
| 4400.f2 |
4400y1 |
4400.f |
4400y |
$2$ |
$2$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( - 2^{16} \cdot 5^{9} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$3.763292039$ |
$1$ |
|
$3$ |
$5760$ |
$1.025042$ |
$-148877/176$ |
$0.84151$ |
$4.27045$ |
$[0, 1, 0, -2208, -70412]$ |
\(y^2=x^3+x^2-2208x-70412\) |
2.3.0.a.1, 20.6.0.c.1, 44.6.0.d.1, 110.6.0.?, 220.12.0.? |
$[(314, 5504)]$ |
| 4400.g1 |
4400z1 |
4400.g |
4400z |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( - 2^{23} \cdot 5^{8} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$0.989443111$ |
$1$ |
|
$4$ |
$15840$ |
$1.546299$ |
$-38401771585/22528$ |
$0.95307$ |
$5.43136$ |
$[0, 1, 0, -82208, 9049588]$ |
\(y^2=x^3+x^2-82208x+9049588\) |
88.2.0.? |
$[(154, 256)]$ |
| 4400.h1 |
4400k2 |
4400.h |
4400k |
$2$ |
$2$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 5^{3} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.2 |
2B |
$440$ |
$48$ |
$1$ |
$0.456588101$ |
$1$ |
|
$7$ |
$1536$ |
$0.364760$ |
$41141648/14641$ |
$0.97056$ |
$3.32636$ |
$[0, 1, 0, -228, 748]$ |
\(y^2=x^3+x^2-228x+748\) |
2.3.0.a.1, 4.6.0.d.1, 10.6.0.a.1, 20.24.0-20.i.1.2, 88.12.0.?, $\ldots$ |
$[(-6, 44)]$ |
| 4400.h2 |
4400k1 |
4400.h |
4400k |
$2$ |
$2$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( 2^{4} \cdot 5^{3} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.2 |
2B |
$440$ |
$48$ |
$1$ |
$0.913176203$ |
$1$ |
|
$5$ |
$768$ |
$0.018186$ |
$464857088/121$ |
$1.02622$ |
$3.28489$ |
$[0, 1, 0, -203, 1048]$ |
\(y^2=x^3+x^2-203x+1048\) |
2.3.0.a.1, 4.6.0.d.1, 10.6.0.a.1, 20.24.0-20.i.1.1, 88.12.0.?, $\ldots$ |
$[(12, 22)]$ |
| 4400.i1 |
4400m3 |
4400.i |
4400m |
$3$ |
$25$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( - 2^{12} \cdot 5^{6} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
25.60.0.2 |
5B.4.2 |
$1100$ |
$1200$ |
$37$ |
$1$ |
$1$ |
|
$0$ |
$28000$ |
$1.994576$ |
$-52893159101157376/11$ |
$1.09296$ |
$6.73251$ |
$[0, -1, 0, -3128133, 2130534637]$ |
\(y^2=x^3-x^2-3128133x+2130534637\) |
5.12.0.a.2, 20.24.0-5.a.2.1, 22.2.0.a.1, 25.60.0.a.2, 100.120.0.?, $\ldots$ |
$[ ]$ |
| 4400.i2 |
4400m2 |
4400.i |
4400m |
$3$ |
$25$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( - 2^{12} \cdot 5^{6} \cdot 11^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.60.0.1 |
5Cs.4.1 |
$1100$ |
$1200$ |
$37$ |
$1$ |
$1$ |
|
$0$ |
$5600$ |
$1.189856$ |
$-122023936/161051$ |
$1.01300$ |
$4.50358$ |
$[0, -1, 0, -4133, 186637]$ |
\(y^2=x^3-x^2-4133x+186637\) |
5.60.0.a.1, 20.120.0-5.a.1.1, 22.2.0.a.1, 110.120.5.?, 220.240.5.?, $\ldots$ |
$[ ]$ |
| 4400.i3 |
4400m1 |
4400.i |
4400m |
$3$ |
$25$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( - 2^{12} \cdot 5^{6} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
25.60.0.1 |
5B.4.1 |
$1100$ |
$1200$ |
$37$ |
$1$ |
$1$ |
|
$0$ |
$1120$ |
$0.385138$ |
$-4096/11$ |
$0.82546$ |
$3.34020$ |
$[0, -1, 0, -133, -1363]$ |
\(y^2=x^3-x^2-133x-1363\) |
5.12.0.a.1, 20.24.0-5.a.1.1, 22.2.0.a.1, 25.60.0.a.1, 100.120.0.?, $\ldots$ |
$[ ]$ |
| 4400.j1 |
4400i1 |
4400.j |
4400i |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( - 2^{11} \cdot 5^{3} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$0.476050636$ |
$1$ |
|
$6$ |
$384$ |
$-0.074549$ |
$13718/11$ |
$0.77106$ |
$2.61991$ |
$[0, -1, 0, 32, 32]$ |
\(y^2=x^3-x^2+32x+32\) |
440.2.0.? |
$[(2, 10)]$ |
| 4400.k1 |
4400w3 |
4400.k |
4400w |
$3$ |
$25$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( - 2^{37} \cdot 5^{9} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
25.60.0.1 |
5B.4.1 |
$2200$ |
$1200$ |
$37$ |
$19.87282247$ |
$1$ |
|
$0$ |
$144000$ |
$2.680996$ |
$-24680042791780949/369098752$ |
$1.03557$ |
$7.21718$ |
$[0, -1, 0, -12131208, -16259299088]$ |
\(y^2=x^3-x^2-12131208x-16259299088\) |
5.12.0.a.1, 20.24.0-5.a.1.1, 25.60.0.a.1, 100.120.0.?, 275.300.12.?, $\ldots$ |
$[(8069486202/859, 682332664544750/859)]$ |
| 4400.k2 |
4400w1 |
4400.k |
4400w |
$3$ |
$25$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( - 2^{13} \cdot 5^{9} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
25.60.0.2 |
5B.4.2 |
$2200$ |
$1200$ |
$37$ |
$0.794912898$ |
$1$ |
|
$4$ |
$5760$ |
$1.071556$ |
$-19465109/22$ |
$1.06489$ |
$4.71893$ |
$[0, -1, 0, -11208, 460912]$ |
\(y^2=x^3-x^2-11208x+460912\) |
5.12.0.a.2, 20.24.0-5.a.2.1, 25.60.0.a.2, 100.120.0.?, 275.300.12.?, $\ldots$ |
$[(42, 250)]$ |
| 4400.k3 |
4400w2 |
4400.k |
4400w |
$3$ |
$25$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( - 2^{17} \cdot 5^{9} \cdot 11^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.60.0.1 |
5Cs.4.1 |
$2200$ |
$1200$ |
$37$ |
$3.974564494$ |
$1$ |
|
$2$ |
$28800$ |
$1.876276$ |
$6761990971/5153632$ |
$1.05709$ |
$5.41606$ |
$[0, -1, 0, 78792, -4819088]$ |
\(y^2=x^3-x^2+78792x-4819088\) |
5.60.0.a.1, 20.120.0-5.a.1.1, 275.300.12.?, 440.240.5.?, 1100.600.12.?, $\ldots$ |
$[(1042, 34750)]$ |
| 4400.l1 |
4400n2 |
4400.l |
4400n |
$2$ |
$5$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( - 2^{13} \cdot 5^{7} \cdot 11^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$440$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$57600$ |
$2.142941$ |
$-23178622194826561/1610510$ |
$1.01294$ |
$6.63417$ |
$[0, -1, 0, -2376008, 1410470512]$ |
\(y^2=x^3-x^2-2376008x+1410470512\) |
5.12.0.a.2, 20.24.0-5.a.2.1, 440.48.1.? |
$[ ]$ |
| 4400.l2 |
4400n1 |
4400.l |
4400n |
$2$ |
$5$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( - 2^{17} \cdot 5^{11} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$440$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$11520$ |
$1.338223$ |
$109902239/1100000$ |
$0.94438$ |
$4.68217$ |
$[0, -1, 0, 3992, 390512]$ |
\(y^2=x^3-x^2+3992x+390512\) |
5.12.0.a.1, 20.24.0-5.a.1.1, 440.48.1.? |
$[ ]$ |
| 4400.m1 |
4400a2 |
4400.m |
4400a |
$2$ |
$2$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 5^{7} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1.217312214$ |
$1$ |
|
$5$ |
$1536$ |
$0.532650$ |
$5256144/605$ |
$0.79186$ |
$3.65662$ |
$[0, 0, 0, -575, 4750]$ |
\(y^2=x^3-575x+4750\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.c.1, 220.12.0.? |
$[(21, 44)]$ |
| 4400.m2 |
4400a1 |
4400.m |
4400a |
$2$ |
$2$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( - 2^{4} \cdot 5^{8} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$2.434624429$ |
$1$ |
|
$3$ |
$768$ |
$0.186076$ |
$55296/275$ |
$0.96856$ |
$3.02490$ |
$[0, 0, 0, 50, 375]$ |
\(y^2=x^3+50x+375\) |
2.3.0.a.1, 20.6.0.c.1, 22.6.0.a.1, 220.12.0.? |
$[(-1, 18)]$ |
| 4400.n1 |
4400bb2 |
4400.n |
4400bb |
$2$ |
$2$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 5^{9} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$3840$ |
$0.892061$ |
$88723728/11$ |
$0.98320$ |
$4.56902$ |
$[0, 0, 0, -7375, -243750]$ |
\(y^2=x^3-7375x-243750\) |
2.3.0.a.1, 20.6.0.c.1, 44.6.0.e.1, 220.12.0.? |
$[ ]$ |
| 4400.n2 |
4400bb1 |
4400.n |
4400bb |
$2$ |
$2$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( 2^{4} \cdot 5^{9} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1920$ |
$0.545488$ |
$442368/121$ |
$0.95621$ |
$3.60664$ |
$[0, 0, 0, -500, -3125]$ |
\(y^2=x^3-500x-3125\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.e.1, 220.12.0.? |
$[ ]$ |
| 4400.o1 |
4400b1 |
4400.o |
4400b |
$2$ |
$2$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( 2^{4} \cdot 5^{9} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2304$ |
$0.604293$ |
$379275264/15125$ |
$1.01554$ |
$3.83617$ |
$[0, 0, 0, -950, 10875]$ |
\(y^2=x^3-950x+10875\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.c.1, 220.12.0.? |
$[ ]$ |
| 4400.o2 |
4400b2 |
4400.o |
4400b |
$2$ |
$2$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( - 2^{8} \cdot 5^{12} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4608$ |
$0.950867$ |
$2122416/171875$ |
$1.06651$ |
$4.13665$ |
$[0, 0, 0, 425, 39750]$ |
\(y^2=x^3+425x+39750\) |
2.3.0.a.1, 20.6.0.c.1, 22.6.0.a.1, 220.12.0.? |
$[ ]$ |
| 4400.p1 |
4400q3 |
4400.p |
4400q |
$4$ |
$4$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( 2^{12} \cdot 5^{10} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$440$ |
$48$ |
$0$ |
$4.600949236$ |
$1$ |
|
$1$ |
$6144$ |
$1.212200$ |
$22930509321/6875$ |
$1.07717$ |
$4.98609$ |
$[0, 0, 0, -23675, -1401750]$ |
\(y^2=x^3-23675x-1401750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.1, 40.24.0-40.z.1.2, $\ldots$ |
$[(-351/2, 57/2)]$ |
| 4400.p2 |
4400q4 |
4400.p |
4400q |
$4$ |
$4$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( 2^{12} \cdot 5^{7} \cdot 11^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$440$ |
$48$ |
$0$ |
$1.150237309$ |
$1$ |
|
$11$ |
$6144$ |
$1.212200$ |
$2749884201/73205$ |
$0.94591$ |
$4.73328$ |
$[0, 0, 0, -11675, 474250]$ |
\(y^2=x^3-11675x+474250\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 10.6.0.a.1, 20.24.0-20.g.1.2, 88.24.0.?, $\ldots$ |
$[(45, 200)]$ |
| 4400.p3 |
4400q2 |
4400.p |
4400q |
$4$ |
$4$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( 2^{12} \cdot 5^{8} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$220$ |
$48$ |
$0$ |
$2.300474618$ |
$1$ |
|
$7$ |
$3072$ |
$0.865627$ |
$8120601/3025$ |
$1.05560$ |
$4.03896$ |
$[0, 0, 0, -1675, -15750]$ |
\(y^2=x^3-1675x-15750\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.b.1.1, 44.24.0-44.a.1.3, 220.48.0.? |
$[(-19, 96)]$ |
| 4400.p4 |
4400q1 |
4400.p |
4400q |
$4$ |
$4$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( - 2^{12} \cdot 5^{7} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$440$ |
$48$ |
$0$ |
$1.150237309$ |
$1$ |
|
$5$ |
$1536$ |
$0.519053$ |
$59319/55$ |
$0.79207$ |
$3.45260$ |
$[0, 0, 0, 325, -1750]$ |
\(y^2=x^3+325x-1750\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.z.1.12, 88.24.0.?, 110.6.0.?, $\ldots$ |
$[(10, 50)]$ |
| 4400.q1 |
4400ba2 |
4400.q |
4400ba |
$2$ |
$2$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 5^{3} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$768$ |
$0.087343$ |
$88723728/11$ |
$0.98320$ |
$3.41796$ |
$[0, 0, 0, -295, -1950]$ |
\(y^2=x^3-295x-1950\) |
2.3.0.a.1, 20.6.0.c.1, 44.6.0.e.1, 220.12.0.? |
$[ ]$ |
| 4400.q2 |
4400ba1 |
4400.q |
4400ba |
$2$ |
$2$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( 2^{4} \cdot 5^{3} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$384$ |
$-0.259231$ |
$442368/121$ |
$0.95621$ |
$2.45559$ |
$[0, 0, 0, -20, -25]$ |
\(y^2=x^3-20x-25\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.e.1, 220.12.0.? |
$[ ]$ |
| 4400.r1 |
4400c3 |
4400.r |
4400c |
$4$ |
$4$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( 2^{10} \cdot 5^{9} \cdot 11^{8} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.52 |
2B |
$880$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$3$ |
$55296$ |
$2.072826$ |
$46424454082884/26794860125$ |
$1.13955$ |
$5.72832$ |
$[0, 0, 0, -188675, 1623250]$ |
\(y^2=x^3-188675x+1623250\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.o.1.8, 10.6.0.a.1, 20.24.0-20.g.1.2, $\ldots$ |
$[ ]$ |
| 4400.r2 |
4400c2 |
4400.r |
4400c |
$4$ |
$4$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 5^{12} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.4 |
2Cs |
$440$ |
$192$ |
$3$ |
$1$ |
$4$ |
$2$ |
$3$ |
$27648$ |
$1.726252$ |
$55537159171536/228765625$ |
$1.14096$ |
$5.58444$ |
$[0, 0, 0, -126175, -17189250]$ |
\(y^2=x^3-126175x-17189250\) |
2.6.0.a.1, 4.24.0-4.a.1.2, 20.48.0-20.b.1.2, 40.96.0-40.g.1.8, 88.48.0.?, $\ldots$ |
$[ ]$ |
| 4400.r3 |
4400c1 |
4400.r |
4400c |
$4$ |
$4$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( 2^{4} \cdot 5^{9} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.62 |
2B |
$880$ |
$192$ |
$3$ |
$1$ |
$4$ |
$2$ |
$1$ |
$13824$ |
$1.379677$ |
$885956203616256/15125$ |
$1.05882$ |
$5.58409$ |
$[0, 0, 0, -126050, -17225125]$ |
\(y^2=x^3-126050x-17225125\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.6, 10.6.0.a.1, 20.24.0-20.g.1.1, $\ldots$ |
$[ ]$ |
| 4400.r4 |
4400c4 |
4400.r |
4400c |
$4$ |
$4$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( - 2^{10} \cdot 5^{18} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.68 |
2B |
$880$ |
$192$ |
$3$ |
$1$ |
$4$ |
$2$ |
$1$ |
$55296$ |
$2.072826$ |
$-1957960715364/29541015625$ |
$1.10389$ |
$5.74412$ |
$[0, 0, 0, -65675, -33705750]$ |
\(y^2=x^3-65675x-33705750\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.3, 20.24.0-4.d.1.1, 40.48.0-40.w.1.3, $\ldots$ |
$[ ]$ |
| 4400.s1 |
4400v3 |
4400.s |
4400v |
$3$ |
$25$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( - 2^{37} \cdot 5^{3} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
25.60.0.1 |
5B.4.1 |
$2200$ |
$1200$ |
$37$ |
$5.508896206$ |
$1$ |
|
$2$ |
$28800$ |
$1.876276$ |
$-24680042791780949/369098752$ |
$1.03557$ |
$6.06612$ |
$[0, 1, 0, -485248, -130268492]$ |
\(y^2=x^3+x^2-485248x-130268492\) |
5.12.0.a.1, 20.24.0-5.a.1.2, 25.60.0.a.1, 100.120.0.?, 275.300.12.?, $\ldots$ |
$[(167658, 68648960)]$ |
| 4400.s2 |
4400v1 |
4400.s |
4400v |
$3$ |
$25$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( - 2^{13} \cdot 5^{3} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
25.60.0.2 |
5B.4.2 |
$2200$ |
$1200$ |
$37$ |
$0.220355848$ |
$1$ |
|
$6$ |
$1152$ |
$0.266837$ |
$-19465109/22$ |
$1.06489$ |
$3.56787$ |
$[0, 1, 0, -448, 3508]$ |
\(y^2=x^3+x^2-448x+3508\) |
5.12.0.a.2, 20.24.0-5.a.2.2, 25.60.0.a.2, 100.120.0.?, 275.300.12.?, $\ldots$ |
$[(18, 40)]$ |
| 4400.s3 |
4400v2 |
4400.s |
4400v |
$3$ |
$25$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( - 2^{17} \cdot 5^{3} \cdot 11^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.60.0.1 |
5Cs.4.1 |
$2200$ |
$1200$ |
$37$ |
$1.101779241$ |
$1$ |
|
$4$ |
$5760$ |
$1.071556$ |
$6761990971/5153632$ |
$1.05709$ |
$4.26501$ |
$[0, 1, 0, 3152, -37292]$ |
\(y^2=x^3+x^2+3152x-37292\) |
5.60.0.a.1, 20.120.0-5.a.1.2, 275.300.12.?, 440.240.5.?, 1100.600.12.?, $\ldots$ |
$[(18, 160)]$ |
| 4400.t1 |
4400r1 |
4400.t |
4400r |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( - 2^{15} \cdot 5^{7} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1320$ |
$16$ |
$0$ |
$1.067615184$ |
$1$ |
|
$4$ |
$2304$ |
$0.690761$ |
$-117649/440$ |
$0.93815$ |
$3.77380$ |
$[0, 1, 0, -408, -8812]$ |
\(y^2=x^3+x^2-408x-8812\) |
3.4.0.a.1, 60.8.0-3.a.1.2, 264.8.0.?, 440.2.0.?, 1320.16.0.? |
$[(28, 50)]$ |
| 4400.t2 |
4400r2 |
4400.t |
4400r |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( - 2^{13} \cdot 5^{9} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1320$ |
$16$ |
$0$ |
$0.355871728$ |
$1$ |
|
$4$ |
$6912$ |
$1.240067$ |
$80062991/332750$ |
$0.92204$ |
$4.52887$ |
$[0, 1, 0, 3592, 207188]$ |
\(y^2=x^3+x^2+3592x+207188\) |
3.4.0.a.1, 60.8.0-3.a.1.1, 264.8.0.?, 440.2.0.?, 1320.16.0.? |
$[(188, 2750)]$ |
| 4400.u1 |
4400h1 |
4400.u |
4400h |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( - 2^{11} \cdot 5^{9} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$0.708420572$ |
$1$ |
|
$4$ |
$1920$ |
$0.730170$ |
$13718/11$ |
$0.77106$ |
$3.77097$ |
$[0, 1, 0, 792, 5588]$ |
\(y^2=x^3+x^2+792x+5588\) |
440.2.0.? |
$[(58, 500)]$ |
| 4400.v1 |
4400s2 |
4400.v |
4400s |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( - 2^{8} \cdot 5^{6} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$660$ |
$16$ |
$0$ |
$0.546704862$ |
$1$ |
|
$4$ |
$2592$ |
$0.701732$ |
$-199794688/1331$ |
$0.99506$ |
$4.09162$ |
$[0, 1, 0, -1933, 32263]$ |
\(y^2=x^3+x^2-1933x+32263\) |
3.4.0.a.1, 22.2.0.a.1, 60.8.0-3.a.1.1, 66.8.0.a.1, 660.16.0.? |
$[(27, 22)]$ |
| 4400.v2 |
4400s1 |
4400.v |
4400s |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( - 2^{8} \cdot 5^{6} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$660$ |
$16$ |
$0$ |
$1.640114586$ |
$1$ |
|
$2$ |
$864$ |
$0.152425$ |
$8192/11$ |
$0.84294$ |
$2.91924$ |
$[0, 1, 0, 67, 263]$ |
\(y^2=x^3+x^2+67x+263\) |
3.4.0.a.1, 22.2.0.a.1, 60.8.0-3.a.1.2, 66.8.0.a.1, 660.16.0.? |
$[(-1, 14)]$ |
| 4400.w1 |
4400l1 |
4400.w |
4400l |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( - 2^{19} \cdot 5^{7} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1320$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16128$ |
$1.450674$ |
$-76711450249/851840$ |
$0.93960$ |
$5.13230$ |
$[0, 1, 0, -35408, -2600812]$ |
\(y^2=x^3+x^2-35408x-2600812\) |
3.4.0.a.1, 60.8.0-3.a.1.2, 264.8.0.?, 440.2.0.?, 1320.16.0.? |
$[ ]$ |
| 4400.w2 |
4400l2 |
4400.w |
4400l |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 11 \) |
\( - 2^{33} \cdot 5^{9} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1320$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$48384$ |
$1.999981$ |
$2882081488391/2883584000$ |
$0.98944$ |
$5.56228$ |
$[0, 1, 0, 118592, -13380812]$ |
\(y^2=x^3+x^2+118592x-13380812\) |
3.4.0.a.1, 60.8.0-3.a.1.1, 264.8.0.?, 440.2.0.?, 1320.16.0.? |
$[ ]$ |
