| 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 |
| 3234.a1 |
3234e1 |
3234.a |
3234e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{5} \cdot 3^{7} \cdot 7^{2} \cdot 11^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8400$ |
$1.018806$ |
$-260607143968297/11270993184$ |
$1.00245$ |
$4.59791$ |
$[1, 1, 0, -4869, -137619]$ |
\(y^2+xy=x^3+x^2-4869x-137619\) |
264.2.0.? |
$[]$ |
| 3234.b1 |
3234c2 |
3234.b |
3234c |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{13} \cdot 3^{8} \cdot 7^{16} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$399360$ |
$3.076897$ |
$10228636028672744397625/167006381634183168$ |
$1.04809$ |
$7.71579$ |
$[1, 1, 0, -22159540, -39589128368]$ |
\(y^2+xy=x^3+x^2-22159540x-39589128368\) |
2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.? |
$[]$ |
| 3234.b2 |
3234c1 |
3234.b |
3234c |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{26} \cdot 3^{4} \cdot 7^{11} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$199680$ |
$2.730324$ |
$-520203426765625/11054534935707648$ |
$1.16773$ |
$6.93832$ |
$[1, 1, 0, -82100, -1735149744]$ |
\(y^2+xy=x^3+x^2-82100x-1735149744\) |
2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.? |
$[]$ |
| 3234.c1 |
3234a1 |
3234.c |
3234a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{16} \cdot 3^{5} \cdot 7^{8} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$2.548421690$ |
$1$ |
|
$2$ |
$13440$ |
$1.564489$ |
$-44681709625/175177728$ |
$1.06286$ |
$5.21452$ |
$[1, 1, 0, -13255, 1632373]$ |
\(y^2+xy=x^3+x^2-13255x+1632373\) |
132.2.0.? |
$[(126, 1345)]$ |
| 3234.d1 |
3234b3 |
3234.d |
3234b |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{6} \cdot 3 \cdot 7^{6} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$1848$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$4320$ |
$0.862878$ |
$57736239625/255552$ |
$0.99775$ |
$4.51089$ |
$[1, 1, 0, -3945, 93381]$ |
\(y^2+xy=x^3+x^2-3945x+93381\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 21.8.0-3.a.1.2, $\ldots$ |
$[]$ |
| 3234.d2 |
3234b4 |
3234.d |
3234b |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{3} \cdot 3^{2} \cdot 7^{6} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$1848$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$8640$ |
$1.209452$ |
$-7357983625/127552392$ |
$1.05287$ |
$4.68071$ |
$[1, 1, 0, -1985, 188637]$ |
\(y^2+xy=x^3+x^2-1985x+188637\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 21.8.0-3.a.1.2, $\ldots$ |
$[]$ |
| 3234.d3 |
3234b1 |
3234.d |
3234b |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{2} \cdot 3^{3} \cdot 7^{6} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$1848$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1440$ |
$0.313572$ |
$18609625/1188$ |
$0.92581$ |
$3.51602$ |
$[1, 1, 0, -270, -1728]$ |
\(y^2+xy=x^3+x^2-270x-1728\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 21.8.0-3.a.1.1, $\ldots$ |
$[]$ |
| 3234.d4 |
3234b2 |
3234.d |
3234b |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2 \cdot 3^{6} \cdot 7^{6} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$1848$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2880$ |
$0.660146$ |
$9938375/176418$ |
$1.01160$ |
$3.85792$ |
$[1, 1, 0, 220, -6726]$ |
\(y^2+xy=x^3+x^2+220x-6726\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 21.8.0-3.a.1.1, $\ldots$ |
$[]$ |
| 3234.e1 |
3234g2 |
3234.e |
3234g |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{4} \cdot 3^{8} \cdot 7^{3} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$616$ |
$48$ |
$1$ |
$0.508796817$ |
$1$ |
|
$8$ |
$8192$ |
$1.278513$ |
$121681065322255375/12702096$ |
$1.09278$ |
$5.59030$ |
$[1, 1, 0, -72265, 7447189]$ |
\(y^2+xy=x^3+x^2-72265x+7447189\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 28.12.0.l.1, 56.24.0.cb.1, $\ldots$ |
$[(153, -38)]$ |
| 3234.e2 |
3234g1 |
3234.e |
3234g |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{4} \cdot 7^{3} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.11 |
2B |
$616$ |
$48$ |
$1$ |
$0.254398408$ |
$1$ |
|
$13$ |
$4096$ |
$0.931938$ |
$-29489309167375/303595776$ |
$1.06746$ |
$4.56234$ |
$[1, 1, 0, -4505, 115557]$ |
\(y^2+xy=x^3+x^2-4505x+115557\) |
2.3.0.a.1, 4.12.0.f.1, 14.6.0.b.1, 28.24.0.g.1, 88.24.0.?, $\ldots$ |
$[(-1, 347)]$ |
| 3234.f1 |
3234f2 |
3234.f |
3234f |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{12} \cdot 3 \cdot 7^{2} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$924$ |
$16$ |
$0$ |
$0.587189937$ |
$1$ |
|
$2$ |
$2592$ |
$0.673031$ |
$-448504189023625/135168$ |
$1.00404$ |
$4.65617$ |
$[1, 1, 0, -5835, 169149]$ |
\(y^2+xy=x^3+x^2-5835x+169149\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 132.8.0.?, 924.16.0.? |
$[(38, 45)]$ |
| 3234.f2 |
3234f1 |
3234.f |
3234f |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{2} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$924$ |
$16$ |
$0$ |
$0.195729979$ |
$1$ |
|
$8$ |
$864$ |
$0.123725$ |
$-500313625/574992$ |
$0.92953$ |
$3.09553$ |
$[1, 1, 0, -60, 288]$ |
\(y^2+xy=x^3+x^2-60x+288\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 132.8.0.?, 924.16.0.? |
$[(-4, 24)]$ |
| 3234.g1 |
3234d1 |
3234.g |
3234d |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{3} \cdot 3^{3} \cdot 7^{2} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1848$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$432$ |
$-0.327595$ |
$-3451273/2376$ |
$0.85964$ |
$2.44136$ |
$[1, 1, 0, -11, -27]$ |
\(y^2+xy=x^3+x^2-11x-27\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 264.8.0.?, 1848.16.0.? |
$[]$ |
| 3234.g2 |
3234d2 |
3234.g |
3234d |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{9} \cdot 3 \cdot 7^{2} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1848$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1296$ |
$0.221711$ |
$1843623047/2044416$ |
$0.94673$ |
$3.12156$ |
$[1, 1, 0, 94, 372]$ |
\(y^2+xy=x^3+x^2+94x+372\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 264.8.0.?, 1848.16.0.? |
$[]$ |
| 3234.h1 |
3234i1 |
3234.h |
3234i |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{3} \cdot 3^{3} \cdot 7^{8} \cdot 11 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$264$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$3024$ |
$0.645360$ |
$-3451273/2376$ |
$0.85964$ |
$3.88608$ |
$[1, 0, 1, -565, 7592]$ |
\(y^2+xy+y=x^3-565x+7592\) |
3.8.0-3.a.1.2, 264.16.0.? |
$[]$ |
| 3234.h2 |
3234i2 |
3234.h |
3234i |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{9} \cdot 3 \cdot 7^{8} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$264$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9072$ |
$1.194666$ |
$1843623047/2044416$ |
$0.94673$ |
$4.56628$ |
$[1, 0, 1, 4580, -113830]$ |
\(y^2+xy+y=x^3+4580x-113830\) |
3.8.0-3.a.1.1, 264.16.0.? |
$[]$ |
| 3234.i1 |
3234o3 |
3234.i |
3234o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{5} \cdot 3^{12} \cdot 7^{8} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$92160$ |
$2.312260$ |
$86129359107301290313/9166294368$ |
$1.03413$ |
$7.12467$ |
$[1, 0, 1, -4508222, -3684683824]$ |
\(y^2+xy+y=x^3-4508222x-3684683824\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 56.12.0-4.c.1.1, 88.12.0.?, $\ldots$ |
$[]$ |
| 3234.i2 |
3234o2 |
3234.i |
3234o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{6} \cdot 7^{10} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$46080$ |
$1.965687$ |
$21184262604460873/216872764416$ |
$1.00370$ |
$6.09635$ |
$[1, 0, 1, -282462, -57291440]$ |
\(y^2+xy+y=x^3-282462x-57291440\) |
2.6.0.a.1, 24.12.0.a.1, 56.12.0-2.a.1.1, 84.12.0.?, 88.12.0.?, $\ldots$ |
$[]$ |
| 3234.i3 |
3234o4 |
3234.i |
3234o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{5} \cdot 3^{3} \cdot 7^{14} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$92160$ |
$2.312260$ |
$-333345918055753/72923718045024$ |
$1.06509$ |
$6.31732$ |
$[1, 0, 1, -70782, -141116720]$ |
\(y^2+xy+y=x^3-70782x-141116720\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 56.12.0-4.c.1.2, 84.12.0.?, $\ldots$ |
$[]$ |
| 3234.i4 |
3234o1 |
3234.i |
3234o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{20} \cdot 3^{3} \cdot 7^{8} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$23040$ |
$1.619114$ |
$29609739866953/15259926528$ |
$1.00455$ |
$5.28302$ |
$[1, 0, 1, -31582, 712016]$ |
\(y^2+xy+y=x^3-31582x+712016\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 56.12.0-4.c.1.4, 66.6.0.a.1, $\ldots$ |
$[]$ |
| 3234.j1 |
3234l1 |
3234.j |
3234l |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{16} \cdot 3^{5} \cdot 7^{2} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$0.555776645$ |
$1$ |
|
$6$ |
$1920$ |
$0.591535$ |
$-44681709625/175177728$ |
$1.06286$ |
$3.76980$ |
$[1, 0, 1, -271, -4798]$ |
\(y^2+xy+y=x^3-271x-4798\) |
132.2.0.? |
$[(55, 356)]$ |
| 3234.k1 |
3234k2 |
3234.k |
3234k |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2 \cdot 3^{8} \cdot 7^{8} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$0.433881820$ |
$1$ |
|
$8$ |
$6144$ |
$1.043163$ |
$129938649625/7072758$ |
$0.93356$ |
$4.61126$ |
$[1, 0, 1, -5171, 135776]$ |
\(y^2+xy+y=x^3-5171x+135776\) |
2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.? |
$[(18, 211)]$ |
| 3234.k2 |
3234k1 |
3234.k |
3234k |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{2} \cdot 3^{4} \cdot 7^{7} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$0.216940910$ |
$1$ |
|
$13$ |
$3072$ |
$0.696590$ |
$9938375/274428$ |
$0.92985$ |
$3.91407$ |
$[1, 0, 1, 219, 8572]$ |
\(y^2+xy+y=x^3+219x+8572\) |
2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.? |
$[(-10, 78)]$ |
| 3234.l1 |
3234j2 |
3234.l |
3234j |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{12} \cdot 3 \cdot 7^{8} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$132$ |
$16$ |
$0$ |
$4.890172615$ |
$1$ |
|
$2$ |
$18144$ |
$1.645987$ |
$-448504189023625/135168$ |
$1.00404$ |
$6.10089$ |
$[1, 0, 1, -285941, -58875904]$ |
\(y^2+xy+y=x^3-285941x-58875904\) |
3.8.0-3.a.1.1, 132.16.0.? |
$[(755, 12102)]$ |
| 3234.l2 |
3234j1 |
3234.l |
3234j |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{8} \cdot 11^{3} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$132$ |
$16$ |
$0$ |
$1.630057538$ |
$1$ |
|
$8$ |
$6048$ |
$1.096680$ |
$-500313625/574992$ |
$0.92953$ |
$4.54025$ |
$[1, 0, 1, -2966, -107656]$ |
\(y^2+xy+y=x^3-2966x-107656\) |
3.8.0-3.a.1.2, 132.16.0.? |
$[(69, 97)]$ |
| 3234.m1 |
3234m2 |
3234.m |
3234m |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{4} \cdot 3^{8} \cdot 7^{9} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$616$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$57344$ |
$2.251469$ |
$121681065322255375/12702096$ |
$1.09278$ |
$7.03502$ |
$[1, 0, 1, -3541011, -2565008834]$ |
\(y^2+xy+y=x^3-3541011x-2565008834\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 28.12.0.l.1, 56.24.0.cb.1, $\ldots$ |
$[]$ |
| 3234.m2 |
3234m1 |
3234.m |
3234m |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{4} \cdot 7^{9} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.11 |
2B |
$616$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$28672$ |
$1.904894$ |
$-29489309167375/303595776$ |
$1.06746$ |
$6.00706$ |
$[1, 0, 1, -220771, -40298338]$ |
\(y^2+xy+y=x^3-220771x-40298338\) |
2.3.0.a.1, 4.12.0.f.1, 14.6.0.b.1, 28.24.0.g.1, 88.24.0.?, $\ldots$ |
$[]$ |
| 3234.n1 |
3234n4 |
3234.n |
3234n |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2 \cdot 3 \cdot 7^{7} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6144$ |
$1.038616$ |
$1285429208617/614922$ |
$0.94933$ |
$4.89485$ |
$[1, 0, 1, -11100, 448984]$ |
\(y^2+xy+y=x^3-11100x+448984\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0-4.c.1.2, 88.12.0.?, $\ldots$ |
$[]$ |
| 3234.n2 |
3234n3 |
3234.n |
3234n |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2 \cdot 3^{4} \cdot 7^{10} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6144$ |
$1.038616$ |
$223980311017/4278582$ |
$0.93681$ |
$4.67864$ |
$[1, 0, 1, -6200, -185272]$ |
\(y^2+xy+y=x^3-6200x-185272\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0-4.c.1.1, 88.12.0.?, $\ldots$ |
$[]$ |
| 3234.n3 |
3234n2 |
3234.n |
3234n |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{2} \cdot 3^{2} \cdot 7^{8} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$3072$ |
$0.692042$ |
$498677257/213444$ |
$0.90408$ |
$3.92291$ |
$[1, 0, 1, -810, 4456]$ |
\(y^2+xy+y=x^3-810x+4456\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 56.12.0-2.a.1.1, 88.12.0.?, 168.24.0.?, $\ldots$ |
$[]$ |
| 3234.n4 |
3234n1 |
3234.n |
3234n |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3 \cdot 7^{7} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.345469$ |
$4657463/3696$ |
$0.84999$ |
$3.34462$ |
$[1, 0, 1, 170, 536]$ |
\(y^2+xy+y=x^3+170x+536\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0-4.c.1.4, 88.12.0.?, $\ldots$ |
$[]$ |
| 3234.o1 |
3234h1 |
3234.o |
3234h |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{5} \cdot 3^{7} \cdot 7^{8} \cdot 11^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$58800$ |
$1.991762$ |
$-260607143968297/11270993184$ |
$1.00245$ |
$6.04263$ |
$[1, 0, 1, -238607, 46487522]$ |
\(y^2+xy+y=x^3-238607x+46487522\) |
264.2.0.? |
$[]$ |
| 3234.p1 |
3234r3 |
3234.p |
3234r |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2 \cdot 3^{8} \cdot 7^{9} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$616$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$36864$ |
$2.049187$ |
$7209828390823479793/49509306$ |
$1.02603$ |
$6.81775$ |
$[1, 1, 1, -1972104, -1066786449]$ |
\(y^2+xy+y=x^3+x^2-1972104x-1066786449\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.z.1.12, 88.24.0.?, 616.48.0.? |
$[]$ |
| 3234.p2 |
3234r4 |
3234.p |
3234r |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2 \cdot 3^{2} \cdot 7^{18} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$616$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$36864$ |
$2.049187$ |
$4770223741048753/2740574865798$ |
$1.17170$ |
$5.91187$ |
$[1, 1, 1, -171844, -2403745]$ |
\(y^2+xy+y=x^3+x^2-171844x-2403745\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 28.12.0-4.c.1.1, 56.24.0-56.z.1.10, $\ldots$ |
$[]$ |
| 3234.p3 |
3234r2 |
3234.p |
3234r |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{2} \cdot 3^{4} \cdot 7^{12} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$616$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$18432$ |
$1.702612$ |
$1763535241378513/4612311396$ |
$1.08205$ |
$5.78874$ |
$[1, 1, 1, -123334, -16685089]$ |
\(y^2+xy+y=x^3+x^2-123334x-16685089\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 28.24.0-28.b.1.1, 88.24.0.?, 616.48.0.? |
$[]$ |
| 3234.p4 |
3234r1 |
3234.p |
3234r |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3^{2} \cdot 7^{9} \cdot 11^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$616$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$9216$ |
$1.356039$ |
$-100999381393/723148272$ |
$0.97843$ |
$4.90097$ |
$[1, 1, 1, -4754, -463345]$ |
\(y^2+xy+y=x^3+x^2-4754x-463345\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 14.6.0.b.1, 28.24.0-28.g.1.2, 88.24.0.?, $\ldots$ |
$[]$ |
| 3234.q1 |
3234p4 |
3234.q |
3234p |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2 \cdot 3^{4} \cdot 7^{12} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1848$ |
$96$ |
$1$ |
$4.948737973$ |
$1$ |
|
$0$ |
$27648$ |
$2.014511$ |
$312196988566716625/25367712678$ |
$1.01456$ |
$6.42926$ |
$[1, 1, 1, -692518, 221512829]$ |
\(y^2+xy+y=x^3+x^2-692518x+221512829\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 21.8.0-3.a.1.2, $\ldots$ |
$[(1943/2, -525/2)]$ |
| 3234.q2 |
3234p3 |
3234.q |
3234p |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{2} \cdot 3^{2} \cdot 7^{9} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1848$ |
$96$ |
$1$ |
$2.474368986$ |
$1$ |
|
$3$ |
$13824$ |
$1.667938$ |
$-61653281712625/21875235228$ |
$0.98159$ |
$5.43294$ |
$[1, 1, 1, -40328, 3942245]$ |
\(y^2+xy+y=x^3+x^2-40328x+3942245\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 14.6.0.b.1, 21.8.0-3.a.1.2, $\ldots$ |
$[(153, 1099)]$ |
| 3234.q3 |
3234p2 |
3234.q |
3234p |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{3} \cdot 3^{12} \cdot 7^{8} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1848$ |
$96$ |
$1$ |
$1.649579324$ |
$1$ |
|
$6$ |
$9216$ |
$1.465206$ |
$5290763640625/2291573592$ |
$1.03705$ |
$5.06992$ |
$[1, 1, 1, -17788, -465403]$ |
\(y^2+xy+y=x^3+x^2-17788x-465403\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 21.8.0-3.a.1.1, $\ldots$ |
$[(155, 651)]$ |
| 3234.q4 |
3234p1 |
3234.q |
3234p |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{6} \cdot 3^{6} \cdot 7^{7} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1848$ |
$96$ |
$1$ |
$0.824789662$ |
$1$ |
|
$9$ |
$4608$ |
$1.118631$ |
$50447927375/39517632$ |
$0.95390$ |
$4.49419$ |
$[1, 1, 1, 3772, -51451]$ |
\(y^2+xy+y=x^3+x^2+3772x-51451\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 14.6.0.b.1, 21.8.0-3.a.1.1, $\ldots$ |
$[(57, 565)]$ |
| 3234.r1 |
3234q2 |
3234.r |
3234q |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{7} \cdot 3^{12} \cdot 7^{9} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$75264$ |
$2.295082$ |
$46546832455691959/748268928$ |
$1.13125$ |
$6.91612$ |
$[1, 1, 1, -2570492, -1587302179]$ |
\(y^2+xy+y=x^3+x^2-2570492x-1587302179\) |
2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.? |
$[]$ |
| 3234.r2 |
3234q1 |
3234.r |
3234q |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{14} \cdot 3^{6} \cdot 7^{9} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$37632$ |
$1.948507$ |
$-10358806345399/1445216256$ |
$0.99802$ |
$5.90214$ |
$[1, 1, 1, -155772, -26427171]$ |
\(y^2+xy+y=x^3+x^2-155772x-26427171\) |
2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.? |
$[]$ |
| 3234.s1 |
3234s3 |
3234.s |
3234s |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{2} \cdot 3 \cdot 7^{6} \cdot 11^{5} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.4, 5.12.0.2 |
2B, 5B.4.2 |
$9240$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$36000$ |
$1.720808$ |
$112763292123580561/1932612$ |
$1.06379$ |
$6.30325$ |
$[1, 1, 1, -493186, 133104971]$ |
\(y^2+xy+y=x^3+x^2-493186x+133104971\) |
2.3.0.a.1, 5.12.0.a.2, 8.6.0.d.1, 10.36.0.a.1, 35.24.0-5.a.2.2, $\ldots$ |
$[]$ |
| 3234.s2 |
3234s4 |
3234.s |
3234s |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2 \cdot 3^{2} \cdot 7^{6} \cdot 11^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.12.0.2 |
2B, 5B.4.2 |
$9240$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$72000$ |
$2.067383$ |
$-112427521449300721/466873642818$ |
$1.06387$ |
$6.30376$ |
$[1, 1, 1, -492696, 133383291]$ |
\(y^2+xy+y=x^3+x^2-492696x+133383291\) |
2.3.0.a.1, 5.12.0.a.2, 8.6.0.a.1, 10.36.0.a.1, 35.24.0-5.a.2.2, $\ldots$ |
$[]$ |
| 3234.s3 |
3234s1 |
3234.s |
3234s |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{5} \cdot 7^{6} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.4, 5.12.0.1 |
2B, 5B.4.1 |
$9240$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$7200$ |
$0.916089$ |
$10091699281/2737152$ |
$1.07340$ |
$4.29506$ |
$[1, 1, 1, -2206, -29989]$ |
\(y^2+xy+y=x^3+x^2-2206x-29989\) |
2.3.0.a.1, 5.12.0.a.1, 8.6.0.d.1, 10.36.0.a.2, 35.24.0-5.a.1.2, $\ldots$ |
$[]$ |
| 3234.s4 |
3234s2 |
3234.s |
3234s |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{5} \cdot 3^{10} \cdot 7^{6} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.12.0.1 |
2B, 5B.4.1 |
$9240$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$14400$ |
$1.262663$ |
$168105213359/228637728$ |
$1.10021$ |
$4.68028$ |
$[1, 1, 1, 5634, -186789]$ |
\(y^2+xy+y=x^3+x^2+5634x-186789\) |
2.3.0.a.1, 5.12.0.a.1, 8.6.0.a.1, 10.36.0.a.2, 35.24.0-5.a.1.2, $\ldots$ |
$[]$ |
| 3234.t1 |
3234t3 |
3234.t |
3234t |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2 \cdot 3 \cdot 7^{6} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$4608$ |
$0.878001$ |
$4824238966273/66$ |
$1.02376$ |
$5.05850$ |
$[1, 0, 0, -17249, 870519]$ |
\(y^2+xy=x^3-17249x+870519\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 56.24.0-8.m.1.1, 264.24.0.?, $\ldots$ |
$[]$ |
| 3234.t2 |
3234t2 |
3234.t |
3234t |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{2} \cdot 3^{2} \cdot 7^{6} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$2304$ |
$0.531427$ |
$1180932193/4356$ |
$0.96736$ |
$4.02959$ |
$[1, 0, 0, -1079, 13509]$ |
\(y^2+xy=x^3-1079x+13509\) |
2.6.0.a.1, 8.12.0.b.1, 28.12.0-2.a.1.1, 56.24.0-8.b.1.2, 132.12.0.?, $\ldots$ |
$[]$ |
| 3234.t3 |
3234t4 |
3234.t |
3234t |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2 \cdot 3^{4} \cdot 7^{6} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4608$ |
$0.878001$ |
$-192100033/2371842$ |
$1.02507$ |
$4.18923$ |
$[1, 0, 0, -589, 25955]$ |
\(y^2+xy=x^3-589x+25955\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 28.12.0-4.c.1.1, 56.24.0-8.d.1.1, $\ldots$ |
$[]$ |
| 3234.t4 |
3234t1 |
3234.t |
3234t |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{4} \cdot 3 \cdot 7^{6} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1152$ |
$0.184854$ |
$912673/528$ |
$1.18336$ |
$3.14294$ |
$[1, 0, 0, -99, -15]$ |
\(y^2+xy=x^3-99x-15\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 28.12.0-4.c.1.2, 56.24.0-8.m.1.3, $\ldots$ |
$[]$ |
