| 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 |
Manin constant |
| 34848.a1 |
34848bh1 |
34848.a |
34848bh |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{9} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$202752$ |
$1.658421$ |
$1728$ |
|
$4.11925$ |
$[0, 0, 0, -35937, 0]$ |
\(y^2=x^3-35937x\) |
|
$[ ]$ |
$1$ |
| 34848.a2 |
34848bh2 |
34848.a |
34848bh |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{9} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$405504$ |
$2.004993$ |
$1728$ |
|
$4.51689$ |
$[0, 0, 0, 143748, 0]$ |
\(y^2=x^3+143748x\) |
|
$[ ]$ |
$1$ |
| 34848.b1 |
34848b1 |
34848.b |
34848b |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{9} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.542046552$ |
$1$ |
|
$5$ |
$18432$ |
$0.459474$ |
$1728$ |
|
$2.74362$ |
$[0, 0, 0, -297, 0]$ |
\(y^2=x^3-297x\) |
|
$[(-11, 44)]$ |
$1$ |
| 34848.b2 |
34848b2 |
34848.b |
34848b |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{9} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$3.084093105$ |
$1$ |
|
$3$ |
$36864$ |
$0.806047$ |
$1728$ |
|
$3.14126$ |
$[0, 0, 0, 1188, 0]$ |
\(y^2=x^3+1188x\) |
|
$[(16, 152)]$ |
$1$ |
| 34848.c1 |
34848bo2 |
34848.c |
34848bo |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{3} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.362328870$ |
$1$ |
|
$5$ |
$46080$ |
$0.856215$ |
$1728$ |
|
$3.19882$ |
$[0, 0, 0, -1452, 0]$ |
\(y^2=x^3-1452x\) |
|
$[(-11, 121)]$ |
$1$ |
| 34848.c2 |
34848bo1 |
34848.c |
34848bo |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$2.724657741$ |
$1$ |
|
$3$ |
$23040$ |
$0.509642$ |
$1728$ |
|
$2.80118$ |
$[0, 0, 0, 363, 0]$ |
\(y^2=x^3+363x\) |
|
$[(12, 78)]$ |
$1$ |
| 34848.d1 |
34848cj1 |
34848.d |
34848cj |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{24} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$88$ |
$4$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$276480$ |
$1.971067$ |
$36534162368/387420489$ |
$1.10253$ |
$4.48226$ |
$[0, 0, 0, 49236, 17502496]$ |
\(y^2=x^3+49236x+17502496\) |
4.2.0.a.1, 88.4.0.? |
$[ ]$ |
$1$ |
| 34848.e1 |
34848ci1 |
34848.e |
34848ci |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{24} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.4.0.2 |
|
$8$ |
$4$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3041280$ |
$3.170013$ |
$36534162368/387420489$ |
$1.10253$ |
$5.85789$ |
$[0, 0, 0, 5957556, 23295822176]$ |
\(y^2=x^3+5957556x+23295822176\) |
4.2.0.a.1, 8.4.0-4.a.1.1 |
$[ ]$ |
$1$ |
| 34848.f1 |
34848be1 |
34848.f |
34848be |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{24} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$88$ |
$4$ |
$0$ |
$3.709132893$ |
$1$ |
|
$2$ |
$276480$ |
$1.971067$ |
$36534162368/387420489$ |
$1.10253$ |
$4.48226$ |
$[0, 0, 0, 49236, -17502496]$ |
\(y^2=x^3+49236x-17502496\) |
4.2.0.a.1, 88.4.0.? |
$[(202, 828)]$ |
$1$ |
| 34848.g1 |
34848bd1 |
34848.g |
34848bd |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{24} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.4.0.2 |
|
$8$ |
$4$ |
$0$ |
$4.000038189$ |
$1$ |
|
$2$ |
$3041280$ |
$3.170013$ |
$36534162368/387420489$ |
$1.10253$ |
$5.85789$ |
$[0, 0, 0, 5957556, -23295822176]$ |
\(y^2=x^3+5957556x-23295822176\) |
4.2.0.a.1, 8.4.0-4.a.1.1 |
$[(2178, 3388)]$ |
$1$ |
| 34848.h1 |
34848bn1 |
34848.h |
34848bn |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{9} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$1.430838611$ |
$1$ |
|
$5$ |
$92160$ |
$1.280947$ |
$46656/11$ |
$0.78666$ |
$3.74656$ |
$[0, 0, 0, -9801, -287496]$ |
\(y^2=x^3-9801x-287496\) |
2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.? |
$[(-44, 242)]$ |
$1$ |
| 34848.h2 |
34848bn2 |
34848.h |
34848bn |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{9} \cdot 3^{9} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$2.861677223$ |
$1$ |
|
$3$ |
$184320$ |
$1.627520$ |
$74088/121$ |
$1.03443$ |
$4.04697$ |
$[0, 0, 0, 22869, -1796850]$ |
\(y^2=x^3+22869x-1796850\) |
2.3.0.a.1, 24.6.0.b.1, 88.6.0.?, 132.6.0.?, 264.12.0.? |
$[(550, 13310)]$ |
$1$ |
| 34848.i1 |
34848cg4 |
34848.i |
34848cg |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{9} \cdot 3^{7} \cdot 11^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$264$ |
$48$ |
$0$ |
$5.115093875$ |
$1$ |
|
$13$ |
$81920$ |
$1.322033$ |
$7301384/3$ |
$1.03749$ |
$4.11339$ |
$[0, 0, 0, -35211, -2542210]$ |
\(y^2=x^3-35211x-2542210\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 44.12.0-4.c.1.2, $\ldots$ |
$[(-107, 18), (374, 6050)]$ |
$1$ |
| 34848.i2 |
34848cg3 |
34848.i |
34848cg |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{7} \cdot 11^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$264$ |
$48$ |
$0$ |
$1.278773468$ |
$1$ |
|
$19$ |
$81920$ |
$1.322033$ |
$140608/3$ |
$1.02705$ |
$3.93456$ |
$[0, 0, 0, -18876, 979616]$ |
\(y^2=x^3-18876x+979616\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0.h.1, 24.24.0.bk.1, $\ldots$ |
$[(110, 484), (44, 484)]$ |
$1$ |
| 34848.i3 |
34848cg1 |
34848.i |
34848cg |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{8} \cdot 11^{6} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$264$ |
$48$ |
$0$ |
$5.115093875$ |
$1$ |
|
$17$ |
$40960$ |
$0.975460$ |
$21952/9$ |
$1.09175$ |
$3.35934$ |
$[0, 0, 0, -2541, -26620]$ |
\(y^2=x^3-2541x-26620\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 44.12.0-2.a.1.1, $\ldots$ |
$[(77, 484), (64, 270)]$ |
$1$ |
| 34848.i4 |
34848cg2 |
34848.i |
34848cg |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{9} \cdot 3^{10} \cdot 11^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$264$ |
$48$ |
$0$ |
$5.115093875$ |
$1$ |
|
$7$ |
$81920$ |
$1.322033$ |
$97336/81$ |
$1.05989$ |
$3.70057$ |
$[0, 0, 0, 8349, -194326]$ |
\(y^2=x^3+8349x-194326\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 88.24.0.?, $\ldots$ |
$[(154, 2178), (550, 13068)]$ |
$1$ |
| 34848.j1 |
34848bb4 |
34848.j |
34848bb |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{9} \cdot 3^{11} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$264$ |
$48$ |
$0$ |
$19.10535582$ |
$1$ |
|
$1$ |
$3686400$ |
$3.212032$ |
$6663712298552914184/29403$ |
$1.06967$ |
$6.74656$ |
$[0, 0, 0, -341545611, 2429523906370]$ |
\(y^2=x^3-341545611x+2429523906370\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 44.12.0-4.c.1.1, $\ldots$ |
$[(715732286/127, 17698880536020/127)]$ |
$1$ |
| 34848.j2 |
34848bb3 |
34848.j |
34848bb |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{11} \cdot 11^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$264$ |
$48$ |
$0$ |
$4.776338956$ |
$1$ |
|
$1$ |
$3686400$ |
$3.212032$ |
$243578556889408/52089208083$ |
$1.05700$ |
$5.96852$ |
$[0, 0, 0, -22670076, 32988228064]$ |
\(y^2=x^3-22670076x+32988228064\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0.h.1, 24.24.0.bk.1, $\ldots$ |
$[(6281/2, 284229/2)]$ |
$1$ |
| 34848.j3 |
34848bb1 |
34848.j |
34848bb |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{16} \cdot 11^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$264$ |
$48$ |
$0$ |
$9.552677912$ |
$1$ |
|
$5$ |
$1843200$ |
$2.865459$ |
$13015685560572352/864536409$ |
$1.06444$ |
$5.95127$ |
$[0, 0, 0, -21346941, 37960040140]$ |
\(y^2=x^3-21346941x+37960040140\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 44.12.0-2.a.1.1, $\ldots$ |
$[(43052, 8883396)]$ |
$1$ |
| 34848.j4 |
34848bb2 |
34848.j |
34848bb |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{9} \cdot 3^{26} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$264$ |
$48$ |
$0$ |
$4.776338956$ |
$1$ |
|
$5$ |
$3686400$ |
$3.212032$ |
$-1343891598641864/421900912521$ |
$1.04688$ |
$5.97443$ |
$[0, 0, 0, -20029251, 42850514806]$ |
\(y^2=x^3-20029251x+42850514806\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 88.24.0.?, $\ldots$ |
$[(-4939, 145926)]$ |
$1$ |
| 34848.k1 |
34848z1 |
34848.k |
34848z |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{13} \cdot 11^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.619101046$ |
$1$ |
|
$4$ |
$64512$ |
$1.362537$ |
$61952/2187$ |
$1.13558$ |
$3.78912$ |
$[0, 0, 0, 2904, -466576]$ |
\(y^2=x^3+2904x-466576\) |
6.2.0.a.1 |
$[(484, 10692)]$ |
$1$ |
| 34848.l1 |
34848y1 |
34848.l |
34848y |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{13} \cdot 11^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$12.29501918$ |
$1$ |
|
$0$ |
$709632$ |
$2.561485$ |
$61952/2187$ |
$1.13558$ |
$5.16475$ |
$[0, 0, 0, 351384, -621012656]$ |
\(y^2=x^3+351384x-621012656\) |
6.2.0.a.1 |
$[(1352264/29, 1561875732/29)]$ |
$1$ |
| 34848.m1 |
34848l2 |
34848.m |
34848l |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 11^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.654021864$ |
$1$ |
|
$17$ |
$15360$ |
$0.531394$ |
$1728$ |
|
$2.82614$ |
$[0, 0, 0, -396, 0]$ |
\(y^2=x^3-396x\) |
|
$[(22, 44), (-2, 28)]$ |
$1$ |
| 34848.m2 |
34848l1 |
34848.m |
34848l |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{6} \cdot 3^{6} \cdot 11^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.654021864$ |
$1$ |
|
$15$ |
$7680$ |
$0.184821$ |
$1728$ |
|
$2.42849$ |
$[0, 0, 0, 99, 0]$ |
\(y^2=x^3+99x\) |
|
$[(3, 18), (12, 54)]$ |
$1$ |
| 34848.n1 |
34848h1 |
34848.n |
34848h |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{9} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$264$ |
$72$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$276480$ |
$2.135147$ |
$150229394496/1331$ |
$1.15408$ |
$5.17932$ |
$[0, 0, 0, -1447281, -670153176]$ |
\(y^2=x^3-1447281x-670153176\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 12.18.0.a.1, 24.36.1.cm.1, $\ldots$ |
$[ ]$ |
$1$ |
| 34848.n2 |
34848h2 |
34848.n |
34848h |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{9} \cdot 3^{9} \cdot 11^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$264$ |
$72$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$552960$ |
$2.481724$ |
$-17535471192/1771561$ |
$1.06513$ |
$5.18815$ |
$[0, 0, 0, -1414611, -701849610]$ |
\(y^2=x^3-1414611x-701849610\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 12.18.0.a.1, 24.36.1.cg.1, $\ldots$ |
$[ ]$ |
$1$ |
| 34848.o1 |
34848g1 |
34848.o |
34848g |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{9} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$264$ |
$72$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$276480$ |
$2.135147$ |
$150229394496/1331$ |
$1.15408$ |
$5.17932$ |
$[0, 0, 0, -1447281, 670153176]$ |
\(y^2=x^3-1447281x+670153176\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 12.18.0.a.1, 24.36.1.cm.1, $\ldots$ |
$[ ]$ |
$1$ |
| 34848.o2 |
34848g2 |
34848.o |
34848g |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{9} \cdot 3^{9} \cdot 11^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$264$ |
$72$ |
$3$ |
$1$ |
$4$ |
$2$ |
$1$ |
$552960$ |
$2.481724$ |
$-17535471192/1771561$ |
$1.06513$ |
$5.18815$ |
$[0, 0, 0, -1414611, 701849610]$ |
\(y^2=x^3-1414611x+701849610\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 12.18.0.a.1, 24.36.1.cg.1, $\ldots$ |
$[ ]$ |
$1$ |
| 34848.p1 |
34848br2 |
34848.p |
34848br |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$7.640427944$ |
$1$ |
|
$1$ |
$168960$ |
$1.730341$ |
$1728$ |
|
$4.20177$ |
$[0, 0, 0, -47916, 0]$ |
\(y^2=x^3-47916x\) |
|
$[(4761/4, 222525/4)]$ |
$1$ |
| 34848.p2 |
34848br1 |
34848.p |
34848br |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{6} \cdot 3^{6} \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$3.820213972$ |
$1$ |
|
$3$ |
$84480$ |
$1.383768$ |
$1728$ |
|
$3.80412$ |
$[0, 0, 0, 11979, 0]$ |
\(y^2=x^3+11979x\) |
|
$[(48, 828)]$ |
$1$ |
| 34848.q1 |
34848ce1 |
34848.q |
34848ce |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{13} \cdot 11^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$64512$ |
$1.362537$ |
$61952/2187$ |
$1.13558$ |
$3.78912$ |
$[0, 0, 0, 2904, 466576]$ |
\(y^2=x^3+2904x+466576\) |
6.2.0.a.1 |
$[ ]$ |
$1$ |
| 34848.r1 |
34848cd1 |
34848.r |
34848cd |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{13} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$709632$ |
$2.561485$ |
$61952/2187$ |
$1.13558$ |
$5.16475$ |
$[0, 0, 0, 351384, 621012656]$ |
\(y^2=x^3+351384x+621012656\) |
6.2.0.a.1 |
$[ ]$ |
$1$ |
| 34848.s1 |
34848bm1 |
34848.s |
34848bm |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{9} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$4.063765414$ |
$1$ |
|
$5$ |
$92160$ |
$1.280947$ |
$46656/11$ |
$0.78666$ |
$3.74656$ |
$[0, 0, 0, -9801, 287496]$ |
\(y^2=x^3-9801x+287496\) |
2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.? |
$[(31, 116)]$ |
$1$ |
| 34848.s2 |
34848bm2 |
34848.s |
34848bm |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{9} \cdot 3^{9} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$8.127530828$ |
$1$ |
|
$3$ |
$184320$ |
$1.627520$ |
$74088/121$ |
$1.03443$ |
$4.04697$ |
$[0, 0, 0, 22869, 1796850]$ |
\(y^2=x^3+22869x+1796850\) |
2.3.0.a.1, 24.6.0.b.1, 88.6.0.?, 132.6.0.?, 264.12.0.? |
$[(3298, 189602)]$ |
$1$ |
| 34848.t1 |
34848ba4 |
34848.t |
34848ba |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{9} \cdot 3^{7} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$264$ |
$48$ |
$0$ |
$7.150674682$ |
$1$ |
|
$1$ |
$81920$ |
$1.322033$ |
$7301384/3$ |
$1.03749$ |
$4.11339$ |
$[0, 0, 0, -35211, 2542210]$ |
\(y^2=x^3-35211x+2542210\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 44.12.0-4.c.1.1, $\ldots$ |
$[(6686/7, 180900/7)]$ |
$1$ |
| 34848.t2 |
34848ba3 |
34848.t |
34848ba |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{7} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$264$ |
$48$ |
$0$ |
$1.787668670$ |
$1$ |
|
$3$ |
$81920$ |
$1.322033$ |
$140608/3$ |
$1.02705$ |
$3.93456$ |
$[0, 0, 0, -18876, -979616]$ |
\(y^2=x^3-18876x-979616\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0.h.1, 24.24.0.bk.1, $\ldots$ |
$[(440, 8712)]$ |
$1$ |
| 34848.t3 |
34848ba1 |
34848.t |
34848ba |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{8} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$264$ |
$48$ |
$0$ |
$3.575337341$ |
$1$ |
|
$5$ |
$40960$ |
$0.975460$ |
$21952/9$ |
$1.09175$ |
$3.35934$ |
$[0, 0, 0, -2541, 26620]$ |
\(y^2=x^3-2541x+26620\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 44.12.0-2.a.1.1, $\ldots$ |
$[(92, 756)]$ |
$1$ |
| 34848.t4 |
34848ba2 |
34848.t |
34848ba |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{9} \cdot 3^{10} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$264$ |
$48$ |
$0$ |
$1.787668670$ |
$1$ |
|
$5$ |
$81920$ |
$1.322033$ |
$97336/81$ |
$1.05989$ |
$3.70057$ |
$[0, 0, 0, 8349, 194326]$ |
\(y^2=x^3+8349x+194326\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 88.24.0.?, $\ldots$ |
$[(5, 486)]$ |
$1$ |
| 34848.u1 |
34848cf4 |
34848.u |
34848cf |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{9} \cdot 3^{11} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$3686400$ |
$3.212032$ |
$6663712298552914184/29403$ |
$1.06967$ |
$6.74656$ |
$[0, 0, 0, -341545611, -2429523906370]$ |
\(y^2=x^3-341545611x-2429523906370\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 44.12.0-4.c.1.2, $\ldots$ |
$[ ]$ |
$1$ |
| 34848.u2 |
34848cf3 |
34848.u |
34848cf |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{11} \cdot 11^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$3686400$ |
$3.212032$ |
$243578556889408/52089208083$ |
$1.05700$ |
$5.96852$ |
$[0, 0, 0, -22670076, -32988228064]$ |
\(y^2=x^3-22670076x-32988228064\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0.h.1, 24.24.0.bk.1, $\ldots$ |
$[ ]$ |
$1$ |
| 34848.u3 |
34848cf1 |
34848.u |
34848cf |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{16} \cdot 11^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$264$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$3$ |
$1843200$ |
$2.865459$ |
$13015685560572352/864536409$ |
$1.06444$ |
$5.95127$ |
$[0, 0, 0, -21346941, -37960040140]$ |
\(y^2=x^3-21346941x-37960040140\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 44.12.0-2.a.1.1, $\ldots$ |
$[ ]$ |
$1$ |
| 34848.u4 |
34848cf2 |
34848.u |
34848cf |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{9} \cdot 3^{26} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$3686400$ |
$3.212032$ |
$-1343891598641864/421900912521$ |
$1.04688$ |
$5.97443$ |
$[0, 0, 0, -20029251, -42850514806]$ |
\(y^2=x^3-20029251x-42850514806\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 88.24.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 34848.v1 |
34848s1 |
34848.v |
34848s |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$3.145542887$ |
$1$ |
|
$2$ |
$115200$ |
$1.494331$ |
$-2515456/11$ |
$0.85957$ |
$4.21105$ |
$[0, 0, 0, -49368, -4237904]$ |
\(y^2=x^3-49368x-4237904\) |
22.2.0.a.1 |
$[(1188, 40172)]$ |
$1$ |
| 34848.w1 |
34848q1 |
34848.w |
34848q |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.2.0.1 |
|
$264$ |
$4$ |
$0$ |
$1.014816394$ |
$1$ |
|
$2$ |
$9216$ |
$0.327684$ |
$704$ |
$0.78666$ |
$2.54683$ |
$[0, 0, 0, 132, 704]$ |
\(y^2=x^3+132x+704\) |
4.2.0.a.1, 264.4.0.? |
$[(4, 36)]$ |
$1$ |
| 34848.x1 |
34848by1 |
34848.x |
34848by |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 11^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.2.0.1 |
|
$24$ |
$4$ |
$0$ |
$0.968358420$ |
$1$ |
|
$14$ |
$101376$ |
$1.526632$ |
$704$ |
$0.78666$ |
$3.92246$ |
$[0, 0, 0, 15972, 937024]$ |
\(y^2=x^3+15972x+937024\) |
4.2.0.a.1, 24.4.0-4.a.1.1 |
$[(242, 4356), (-28, 684)]$ |
$1$ |
| 34848.y1 |
34848bw1 |
34848.y |
34848bw |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.3.0.1 |
3Nn |
$132$ |
$12$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$161280$ |
$1.720316$ |
$13824/1331$ |
$1.17246$ |
$4.20119$ |
$[0, 0, 0, 8712, -4024944]$ |
\(y^2=x^3+8712x-4024944\) |
3.3.0.a.1, 12.6.0.d.1, 22.2.0.a.1, 66.6.1.a.1, 132.12.1.? |
$[ ]$ |
$1$ |
| 34848.z1 |
34848bv1 |
34848.z |
34848bv |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.3.0.1 |
3Nn |
$132$ |
$12$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$161280$ |
$1.720316$ |
$13824/1331$ |
$1.17246$ |
$4.20119$ |
$[0, 0, 0, 8712, 4024944]$ |
\(y^2=x^3+8712x+4024944\) |
3.3.0.a.1, 12.6.0.d.1, 22.2.0.a.1, 66.6.1.a.1, 132.12.1.? |
$[ ]$ |
$1$ |
| 34848.ba1 |
34848p1 |
34848.ba |
34848p |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.2.0.1 |
|
$264$ |
$4$ |
$0$ |
$1.560103459$ |
$1$ |
|
$2$ |
$9216$ |
$0.327684$ |
$704$ |
$0.78666$ |
$2.54683$ |
$[0, 0, 0, 132, -704]$ |
\(y^2=x^3+132x-704\) |
4.2.0.a.1, 264.4.0.? |
$[(5, 9)]$ |
$1$ |
| 34848.bb1 |
34848bx1 |
34848.bb |
34848bx |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.2.0.1 |
|
$24$ |
$4$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$101376$ |
$1.526632$ |
$704$ |
$0.78666$ |
$3.92246$ |
$[0, 0, 0, 15972, -937024]$ |
\(y^2=x^3+15972x-937024\) |
4.2.0.a.1, 24.4.0-4.a.1.1 |
$[ ]$ |
$1$ |
| 34848.bc1 |
34848r1 |
34848.bc |
34848r |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$2.601771423$ |
$1$ |
|
$2$ |
$115200$ |
$1.494331$ |
$-2515456/11$ |
$0.85957$ |
$4.21105$ |
$[0, 0, 0, -49368, 4237904]$ |
\(y^2=x^3-49368x+4237904\) |
22.2.0.a.1 |
$[(440, 8228)]$ |
$1$ |
