| 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 |
| 216384.a1 |
216384ci2 |
216384.a |
216384ci |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( 2^{15} \cdot 3^{4} \cdot 7^{3} \cdot 23 \) |
$3$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$2.766308241$ |
$1$ |
|
$41$ |
$475136$ |
$0.923772$ |
$3073924664/1863$ |
$0.88355$ |
$3.09986$ |
$[0, -1, 0, -6785, 217281]$ |
\(y^2=x^3-x^2-6785x+217281\) |
2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.? |
$[(33, 168), (49, 8), (51, 36)]$ |
| 216384.a2 |
216384ci1 |
216384.a |
216384ci |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{12} \cdot 3^{2} \cdot 7^{3} \cdot 23^{2} \) |
$3$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1.383154120$ |
$1$ |
|
$51$ |
$237568$ |
$0.577199$ |
$-3241792/4761$ |
$1.00023$ |
$2.47547$ |
$[0, -1, 0, -345, 4761]$ |
\(y^2=x^3-x^2-345x+4761\) |
2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.? |
$[(0, 69), (5, 56), (-9, 84)]$ |
| 216384.b1 |
216384gx1 |
216384.b |
216384gx |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{15} \cdot 3^{19} \cdot 7^{8} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$552$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$19407360$ |
$2.850086$ |
$19019285422648/26732013741$ |
$0.97459$ |
$4.63155$ |
$[0, -1, 0, 3190815, 2621205441]$ |
\(y^2=x^3-x^2+3190815x+2621205441\) |
552.2.0.? |
$[]$ |
| 216384.c1 |
216384cj1 |
216384.c |
216384cj |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{14} \cdot 3^{3} \cdot 7^{9} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$5.207425102$ |
$1$ |
|
$2$ |
$903168$ |
$1.490299$ |
$524288/621$ |
$1.14672$ |
$3.29128$ |
$[0, -1, 0, 14635, 692301]$ |
\(y^2=x^3-x^2+14635x+692301\) |
966.2.0.? |
$[(3316, 191051)]$ |
| 216384.d1 |
216384gw2 |
216384.d |
216384gw |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( 2^{19} \cdot 3^{2} \cdot 7^{10} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$184$ |
$12$ |
$0$ |
$2.009149614$ |
$1$ |
|
$5$ |
$3538944$ |
$2.115715$ |
$42180533641/22862322$ |
$1.12204$ |
$3.95752$ |
$[0, -1, 0, -227425, 10587361]$ |
\(y^2=x^3-x^2-227425x+10587361\) |
2.3.0.a.1, 8.6.0.b.1, 92.6.0.?, 184.12.0.? |
$[(-296, 7203)]$ |
| 216384.d2 |
216384gw1 |
216384.d |
216384gw |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{20} \cdot 3^{4} \cdot 7^{8} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$184$ |
$12$ |
$0$ |
$4.018299228$ |
$1$ |
|
$3$ |
$1769472$ |
$1.769142$ |
$590589719/365148$ |
$0.90611$ |
$3.61005$ |
$[0, -1, 0, 54815, 1273441]$ |
\(y^2=x^3-x^2+54815x+1273441\) |
2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.? |
$[(489, 12032)]$ |
| 216384.e1 |
216384ck1 |
216384.e |
216384ck |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{14} \cdot 3^{21} \cdot 7^{3} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4386816$ |
$2.180836$ |
$-389094786976768/240588123669$ |
$1.00982$ |
$4.05895$ |
$[0, -1, 0, -270405, -77748579]$ |
\(y^2=x^3-x^2-270405x-77748579\) |
966.2.0.? |
$[]$ |
| 216384.f1 |
216384cl1 |
216384.f |
216384cl |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{14} \cdot 3 \cdot 7^{4} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.914314805$ |
$1$ |
|
$2$ |
$313344$ |
$0.776665$ |
$-3211264/1587$ |
$0.90846$ |
$2.69334$ |
$[0, -1, 0, -1045, 18061]$ |
\(y^2=x^3-x^2-1045x+18061\) |
6.2.0.a.1 |
$[(20, 69)]$ |
| 216384.g1 |
216384gy1 |
216384.g |
216384gy |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{19} \cdot 3^{3} \cdot 7^{4} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$552$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$470016$ |
$0.960962$ |
$-49/1242$ |
$1.02940$ |
$2.83598$ |
$[0, -1, 0, -65, 42561]$ |
\(y^2=x^3-x^2-65x+42561\) |
552.2.0.? |
$[]$ |
| 216384.h1 |
216384cm1 |
216384.h |
216384cm |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{18} \cdot 3^{7} \cdot 7^{10} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$276$ |
$2$ |
$0$ |
$4.067589172$ |
$1$ |
|
$2$ |
$4816896$ |
$2.427834$ |
$-14936239633/50301$ |
$0.93353$ |
$4.50708$ |
$[0, -1, 0, -2154497, 1221469089]$ |
\(y^2=x^3-x^2-2154497x+1221469089\) |
276.2.0.? |
$[(805, 2848)]$ |
| 216384.i1 |
216384gz1 |
216384.i |
216384gz |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{19} \cdot 3^{7} \cdot 7^{10} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8128512$ |
$2.565941$ |
$-352263793/2313846$ |
$0.95528$ |
$4.40620$ |
$[0, -1, 0, -617857, 657138049]$ |
\(y^2=x^3-x^2-617857x+657138049\) |
24.2.0.b.1 |
$[]$ |
| 216384.j1 |
216384ha1 |
216384.j |
216384ha |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{17} \cdot 3^{5} \cdot 7^{9} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1.851460845$ |
$1$ |
|
$2$ |
$1843200$ |
$1.862997$ |
$-3261064466/1917027$ |
$0.88003$ |
$3.74978$ |
$[0, -1, 0, -76897, 11678689]$ |
\(y^2=x^3-x^2-76897x+11678689\) |
3864.2.0.? |
$[(89, 2352)]$ |
| 216384.k1 |
216384cn2 |
216384.k |
216384cn |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{19} \cdot 3 \cdot 7^{9} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3864$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3317760$ |
$2.114277$ |
$-2181825073/25039686$ |
$0.93269$ |
$3.96359$ |
$[0, -1, 0, -84737, -43304799]$ |
\(y^2=x^3-x^2-84737x-43304799\) |
3.4.0.a.1, 168.8.0.?, 276.8.0.?, 3864.16.0.? |
$[]$ |
| 216384.k2 |
216384cn1 |
216384.k |
216384cn |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{21} \cdot 3^{3} \cdot 7^{7} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3864$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1105920$ |
$1.564970$ |
$2924207/34776$ |
$0.86250$ |
$3.41997$ |
$[0, -1, 0, 9343, 1533729]$ |
\(y^2=x^3-x^2+9343x+1533729\) |
3.4.0.a.1, 168.8.0.?, 276.8.0.?, 3864.16.0.? |
$[]$ |
| 216384.l1 |
216384co1 |
216384.l |
216384co |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{33} \cdot 3^{13} \cdot 7^{9} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$20.02906903$ |
$1$ |
|
$0$ |
$50319360$ |
$3.500992$ |
$503009937352889/1201583849472$ |
$1.01699$ |
$5.28961$ |
$[0, -1, 0, 36371263, -149328310431]$ |
\(y^2=x^3-x^2+36371263x-149328310431\) |
3864.2.0.? |
$[(9173735128/153, 878758669545659/153)]$ |
| 216384.m1 |
216384hd1 |
216384.m |
216384hd |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{6} \cdot 3^{5} \cdot 7^{8} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$276$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$430080$ |
$1.053009$ |
$-3072832/5589$ |
$0.80137$ |
$2.93742$ |
$[0, -1, 0, -2172, 80046]$ |
\(y^2=x^3-x^2-2172x+80046\) |
276.2.0.? |
$[]$ |
| 216384.n1 |
216384hb1 |
216384.n |
216384hb |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{22} \cdot 3^{3} \cdot 7^{2} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$276$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$221184$ |
$0.818070$ |
$-3451273/9936$ |
$0.85650$ |
$2.70336$ |
$[0, -1, 0, -737, -18591]$ |
\(y^2=x^3-x^2-737x-18591\) |
276.2.0.? |
$[]$ |
| 216384.o1 |
216384cp1 |
216384.o |
216384cp |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{27} \cdot 3 \cdot 7^{3} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$0.872953654$ |
$1$ |
|
$4$ |
$552960$ |
$1.121412$ |
$-174676879/35328$ |
$0.96780$ |
$3.06008$ |
$[0, -1, 0, -5217, 170241]$ |
\(y^2=x^3-x^2-5217x+170241\) |
3864.2.0.? |
$[(-19, 512)]$ |
| 216384.p1 |
216384hc1 |
216384.p |
216384hc |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{17} \cdot 3 \cdot 7^{2} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1.109341799$ |
$1$ |
|
$2$ |
$190464$ |
$0.725274$ |
$-110328386/1587$ |
$0.84632$ |
$2.78546$ |
$[0, -1, 0, -1857, 31809]$ |
\(y^2=x^3-x^2-1857x+31809\) |
24.2.0.b.1 |
$[(35, 92)]$ |
| 216384.q1 |
216384he1 |
216384.q |
216384he |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{21} \cdot 3 \cdot 7^{8} \cdot 23^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5419008$ |
$2.328045$ |
$633631943/6716184$ |
$0.94439$ |
$4.16470$ |
$[0, -1, 0, 205343, -149104031]$ |
\(y^2=x^3-x^2+205343x-149104031\) |
24.2.0.b.1 |
$[]$ |
| 216384.r1 |
216384cq3 |
216384.r |
216384cq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( 2^{15} \cdot 3^{4} \cdot 7^{7} \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$1288$ |
$48$ |
$0$ |
$7.250036735$ |
$1$ |
|
$7$ |
$7077888$ |
$2.605278$ |
$581400938887066376/13041$ |
$0.98974$ |
$5.12640$ |
$[0, -1, 0, -27264449, 54804375585]$ |
\(y^2=x^3-x^2-27264449x+54804375585\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 28.12.0-4.c.1.1, 56.24.0-8.p.1.4, $\ldots$ |
$[(2903, 10584), (-4153, 310464)]$ |
| 216384.r2 |
216384cq4 |
216384.r |
216384cq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( 2^{15} \cdot 3^{4} \cdot 7^{10} \cdot 23^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$1288$ |
$48$ |
$0$ |
$1.812509183$ |
$1$ |
|
$17$ |
$7077888$ |
$2.605278$ |
$185446537613576/54423757521$ |
$0.95677$ |
$4.47109$ |
$[0, -1, 0, -1862849, 687663873]$ |
\(y^2=x^3-x^2-1862849x+687663873\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 28.12.0-4.c.1.2, 56.24.0-8.k.1.2, $\ldots$ |
$[(-877, 40572), (1377, 27048)]$ |
| 216384.r3 |
216384cq2 |
216384.r |
216384cq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( 2^{12} \cdot 3^{8} \cdot 7^{8} \cdot 23^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$1288$ |
$48$ |
$0$ |
$7.250036735$ |
$1$ |
|
$17$ |
$3538944$ |
$2.258705$ |
$1135671162482368/170067681$ |
$1.03333$ |
$4.44933$ |
$[0, -1, 0, -1704089, 856679769]$ |
\(y^2=x^3-x^2-1704089x+856679769\) |
2.6.0.a.1, 8.12.0.a.1, 28.12.0-2.a.1.1, 56.24.0-8.a.1.1, 92.12.0.?, $\ldots$ |
$[(61, 27440), (-135, 32928)]$ |
| 216384.r4 |
216384cq1 |
216384.r |
216384cq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{6} \cdot 3^{16} \cdot 7^{7} \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$1288$ |
$48$ |
$0$ |
$29.00014694$ |
$1$ |
|
$3$ |
$1769472$ |
$1.912132$ |
$-13258203533632/6930522081$ |
$1.02158$ |
$3.80092$ |
$[0, -1, 0, -96644, 15986034]$ |
\(y^2=x^3-x^2-96644x+15986034\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 56.24.0-8.p.1.1, 184.24.0.?, $\ldots$ |
$[(27, 3660), (-221/3, 115640/3)]$ |
| 216384.s1 |
216384hf3 |
216384.s |
216384hf |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( 2^{15} \cdot 3^{4} \cdot 7^{8} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3864$ |
$48$ |
$0$ |
$1.434152900$ |
$1$ |
|
$5$ |
$2949120$ |
$2.168423$ |
$375523199368136/91287$ |
$0.95087$ |
$4.52852$ |
$[0, -1, 0, -2356769, 1393376769]$ |
\(y^2=x^3-x^2-2356769x+1393376769\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 56.12.0-4.c.1.2, 168.24.0.?, $\ldots$ |
$[(880, 343)]$ |
| 216384.s2 |
216384hf2 |
216384.s |
216384hf |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( 2^{12} \cdot 3^{2} \cdot 7^{10} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3864$ |
$48$ |
$0$ |
$2.868305800$ |
$1$ |
|
$7$ |
$1474560$ |
$1.821850$ |
$741709148608/11431161$ |
$0.90956$ |
$3.85236$ |
$[0, -1, 0, -147849, 21637449]$ |
\(y^2=x^3-x^2-147849x+21637449\) |
2.6.0.a.1, 12.12.0.a.1, 56.12.0-2.a.1.1, 168.24.0.?, 184.12.0.?, $\ldots$ |
$[(-93, 5880)]$ |
| 216384.s3 |
216384hf1 |
216384.s |
216384hf |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( 2^{6} \cdot 3 \cdot 7^{8} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3864$ |
$48$ |
$0$ |
$5.736611600$ |
$1$ |
|
$1$ |
$737280$ |
$1.475277$ |
$89194791232/41136627$ |
$0.91828$ |
$3.34140$ |
$[0, -1, 0, -18244, -421322]$ |
\(y^2=x^3-x^2-18244x-421322\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 56.12.0-4.c.1.1, 168.24.0.?, $\ldots$ |
$[(-711/4, 35035/4)]$ |
| 216384.s4 |
216384hf4 |
216384.s |
216384hf |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{15} \cdot 3 \cdot 7^{14} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3864$ |
$48$ |
$0$ |
$5.736611600$ |
$1$ |
|
$3$ |
$2949120$ |
$2.168423$ |
$-57512456/397771269$ |
$1.01830$ |
$4.01544$ |
$[0, -1, 0, -12609, 59585793]$ |
\(y^2=x^3-x^2-12609x+59585793\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 56.12.0-4.c.1.4, 168.24.0.?, $\ldots$ |
$[(-1, 7720)]$ |
| 216384.t1 |
216384hg1 |
216384.t |
216384hg |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( 2^{20} \cdot 3^{2} \cdot 7^{3} \cdot 23^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$2.559093179$ |
$1$ |
|
$3$ |
$1474560$ |
$1.966694$ |
$1311889499494111/438012$ |
$1.09847$ |
$4.32442$ |
$[0, -1, 0, -1021729, -397172831]$ |
\(y^2=x^3-x^2-1021729x-397172831\) |
2.3.0.a.1, 56.6.0.c.1, 184.6.0.?, 322.6.0.?, 1288.12.0.? |
$[(1465, 35328)]$ |
| 216384.t2 |
216384hg2 |
216384.t |
216384hg |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{19} \cdot 3^{4} \cdot 7^{3} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$5.118186359$ |
$1$ |
|
$3$ |
$2949120$ |
$2.313267$ |
$-1294708239486271/23981814018$ |
$1.09888$ |
$4.32591$ |
$[0, -1, 0, -1017249, -400832991]$ |
\(y^2=x^3-x^2-1017249x-400832991\) |
2.3.0.a.1, 56.6.0.b.1, 184.6.0.?, 644.6.0.?, 1288.12.0.? |
$[(11471, 1223600)]$ |
| 216384.u1 |
216384hh1 |
216384.u |
216384hh |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{6} \cdot 3^{11} \cdot 7^{9} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$5.611404149$ |
$1$ |
|
$0$ |
$1419264$ |
$1.847080$ |
$-39889507589632/1397512683$ |
$0.94368$ |
$3.84298$ |
$[0, -1, 0, -139519, 20703313]$ |
\(y^2=x^3-x^2-139519x+20703313\) |
966.2.0.? |
$[(1648/3, 30331/3)]$ |
| 216384.v1 |
216384cr3 |
216384.v |
216384cr |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( 2^{17} \cdot 3 \cdot 7^{6} \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3864$ |
$48$ |
$0$ |
$16.23193355$ |
$1$ |
|
$7$ |
$1179648$ |
$1.782187$ |
$1378334691074/69$ |
$1.07977$ |
$4.18491$ |
$[0, -1, 0, -577089, 168930273]$ |
\(y^2=x^3-x^2-577089x+168930273\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 56.12.0-4.c.1.4, 84.12.0.?, $\ldots$ |
$[(443, 148), (664, 8835)]$ |
| 216384.v2 |
216384cr4 |
216384.v |
216384cr |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( 2^{17} \cdot 3 \cdot 7^{6} \cdot 23^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3864$ |
$48$ |
$0$ |
$4.057983387$ |
$1$ |
|
$11$ |
$1179648$ |
$1.782187$ |
$1522096994/839523$ |
$1.08605$ |
$3.63069$ |
$[0, -1, 0, -59649, -1194591]$ |
\(y^2=x^3-x^2-59649x-1194591\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 56.12.0-4.c.1.1, 84.12.0.?, $\ldots$ |
$[(-187, 1840), (-37, 980)]$ |
| 216384.v3 |
216384cr2 |
216384.v |
216384cr |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( 2^{16} \cdot 3^{2} \cdot 7^{6} \cdot 23^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3864$ |
$48$ |
$0$ |
$4.057983387$ |
$1$ |
|
$21$ |
$589824$ |
$1.435614$ |
$676449508/4761$ |
$0.99194$ |
$3.50825$ |
$[0, -1, 0, -36129, 2639169]$ |
\(y^2=x^3-x^2-36129x+2639169\) |
2.6.0.a.1, 24.12.0.b.1, 56.12.0-2.a.1.1, 84.12.0.?, 92.12.0.?, $\ldots$ |
$[(5, 1568), (-72, 2205)]$ |
| 216384.v4 |
216384cr1 |
216384.v |
216384cr |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{14} \cdot 3^{4} \cdot 7^{6} \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3864$ |
$48$ |
$0$ |
$4.057983387$ |
$1$ |
|
$13$ |
$294912$ |
$1.089041$ |
$-35152/1863$ |
$0.89850$ |
$2.96098$ |
$[0, -1, 0, -849, 91953]$ |
\(y^2=x^3-x^2-849x+91953\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 46.6.0.a.1, 56.12.0-4.c.1.2, $\ldots$ |
$[(47, 392), (-33, 288)]$ |
| 216384.w1 |
216384hi2 |
216384.w |
216384hi |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( 2^{15} \cdot 3^{4} \cdot 7^{8} \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$4.818793117$ |
$1$ |
|
$13$ |
$688128$ |
$1.559927$ |
$2438569736/91287$ |
$0.84498$ |
$3.55621$ |
$[0, -1, 0, -43969, 3446689]$ |
\(y^2=x^3-x^2-43969x+3446689\) |
2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.? |
$[(40, 1323), (-9, 1960)]$ |
| 216384.w2 |
216384hi1 |
216384.w |
216384hi |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{12} \cdot 3^{2} \cdot 7^{7} \cdot 23^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1.204698279$ |
$1$ |
|
$19$ |
$344064$ |
$1.213354$ |
$314432/33327$ |
$0.86414$ |
$3.08158$ |
$[0, -1, 0, 1111, 191913]$ |
\(y^2=x^3-x^2+1111x+191913\) |
2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.? |
$[(-23, 392), (173, 2352)]$ |
| 216384.x1 |
216384hj2 |
216384.x |
216384hj |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( 2^{23} \cdot 3^{8} \cdot 7^{12} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$17694720$ |
$2.995010$ |
$4144806984356137/568114785504$ |
$0.97971$ |
$4.89326$ |
$[0, -1, 0, -10494689, -11428104351]$ |
\(y^2=x^3-x^2-10494689x-11428104351\) |
2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.? |
$[]$ |
| 216384.x2 |
216384hj1 |
216384.x |
216384hj |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{28} \cdot 3^{4} \cdot 7^{9} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8847360$ |
$2.648438$ |
$4101378352343/15049939968$ |
$0.96793$ |
$4.46648$ |
$[0, -1, 0, 1045791, -951656607]$ |
\(y^2=x^3-x^2+1045791x-951656607\) |
2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.? |
$[]$ |
| 216384.y1 |
216384cv1 |
216384.y |
216384cv |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{14} \cdot 3^{7} \cdot 7^{8} \cdot 23^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5419008$ |
$2.521343$ |
$-4039597907968/612012267$ |
$1.06807$ |
$4.43890$ |
$[0, -1, 0, -1511029, -802564307]$ |
\(y^2=x^3-x^2-1511029x-802564307\) |
6.2.0.a.1 |
$[]$ |
| 216384.z1 |
216384cs1 |
216384.z |
216384cs |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( 2^{16} \cdot 3^{2} \cdot 7^{9} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$3.976680273$ |
$1$ |
|
$3$ |
$917504$ |
$1.663677$ |
$31522396/207$ |
$0.83020$ |
$3.73386$ |
$[0, -1, 0, -91009, -10477151]$ |
\(y^2=x^3-x^2-91009x-10477151\) |
2.3.0.a.1, 56.6.0.c.1, 184.6.0.?, 322.6.0.?, 1288.12.0.? |
$[(349, 384)]$ |
| 216384.z2 |
216384cs2 |
216384.z |
216384cs |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{17} \cdot 3^{4} \cdot 7^{9} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$7.953360547$ |
$1$ |
|
$3$ |
$1835008$ |
$2.010250$ |
$-986078/42849$ |
$0.91840$ |
$3.86087$ |
$[0, -1, 0, -36129, -23044671]$ |
\(y^2=x^3-x^2-36129x-23044671\) |
2.3.0.a.1, 56.6.0.b.1, 184.6.0.?, 644.6.0.?, 1288.12.0.? |
$[(5241/4, 25605/4)]$ |
| 216384.ba1 |
216384hk2 |
216384.ba |
216384hk |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( 2^{17} \cdot 3^{3} \cdot 7^{6} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$552$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1105920$ |
$1.757002$ |
$80919167474/14283$ |
$0.96612$ |
$3.95413$ |
$[0, -1, 0, -224289, 40953249]$ |
\(y^2=x^3-x^2-224289x+40953249\) |
2.3.0.a.1, 24.6.0.a.1, 92.6.0.?, 552.12.0.? |
$[]$ |
| 216384.ba2 |
216384hk1 |
216384.ba |
216384hk |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{16} \cdot 3^{6} \cdot 7^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$552$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$552960$ |
$1.410427$ |
$-28756228/16767$ |
$0.89435$ |
$3.30791$ |
$[0, -1, 0, -12609, 776385]$ |
\(y^2=x^3-x^2-12609x+776385\) |
2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.? |
$[]$ |
| 216384.bb1 |
216384hl2 |
216384.bb |
216384hl |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( 2^{15} \cdot 3 \cdot 7^{6} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$552$ |
$12$ |
$0$ |
$5.265877685$ |
$1$ |
|
$3$ |
$368640$ |
$1.145884$ |
$3112136/1587$ |
$0.88231$ |
$3.01376$ |
$[0, -1, 0, -4769, -42111]$ |
\(y^2=x^3-x^2-4769x-42111\) |
2.3.0.a.1, 24.6.0.a.1, 92.6.0.?, 552.12.0.? |
$[(160, 1807)]$ |
| 216384.bb2 |
216384hl1 |
216384.bb |
216384hl |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{12} \cdot 3^{2} \cdot 7^{6} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$552$ |
$12$ |
$0$ |
$2.632938842$ |
$1$ |
|
$5$ |
$184320$ |
$0.799311$ |
$314432/207$ |
$0.83566$ |
$2.65790$ |
$[0, -1, 0, 1111, -5655]$ |
\(y^2=x^3-x^2+1111x-5655\) |
2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.? |
$[(13, 104)]$ |
| 216384.bc1 |
216384ct4 |
216384.bc |
216384ct |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( 2^{15} \cdot 3^{8} \cdot 7^{7} \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1288$ |
$48$ |
$0$ |
$26.21957987$ |
$1$ |
|
$5$ |
$1572864$ |
$1.918543$ |
$1146415874696/1056321$ |
$0.90838$ |
$4.05707$ |
$[0, -1, 0, -341889, -76769055]$ |
\(y^2=x^3-x^2-341889x-76769055\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.bb.1.10, 184.24.0.?, 1288.48.0.? |
$[(951, 21384), (1591, 58344)]$ |
| 216384.bc2 |
216384ct2 |
216384.bc |
216384ct |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( 2^{12} \cdot 3^{4} \cdot 7^{8} \cdot 23^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1288$ |
$48$ |
$0$ |
$6.554894968$ |
$1$ |
|
$19$ |
$786432$ |
$1.571968$ |
$4188852928/2099601$ |
$0.99471$ |
$3.43098$ |
$[0, -1, 0, -26329, -592871]$ |
\(y^2=x^3-x^2-26329x-592871\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 56.24.0-56.a.1.1, 92.24.0.?, 1288.48.0.? |
$[(-51, 784), (219, 2024)]$ |
| 216384.bc3 |
216384ct1 |
216384.bc |
216384ct |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( 2^{6} \cdot 3^{2} \cdot 7^{10} \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1288$ |
$48$ |
$0$ |
$6.554894968$ |
$1$ |
|
$5$ |
$393216$ |
$1.225395$ |
$43169672512/497007$ |
$0.96661$ |
$3.28233$ |
$[0, -1, 0, -14324, 658050]$ |
\(y^2=x^3-x^2-14324x+658050\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 56.24.0-56.bb.1.5, 92.12.0.?, $\ldots$ |
$[(47, 294), (-547/2, 1617/2)]$ |
| 216384.bc4 |
216384ct3 |
216384.bc |
216384ct |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 23 \) |
\( - 2^{15} \cdot 3^{2} \cdot 7^{7} \cdot 23^{4} \) |
$2$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1288$ |
$48$ |
$0$ |
$6.554894968$ |
$1$ |
|
$15$ |
$1572864$ |
$1.918543$ |
$26304066424/17629983$ |
$0.91112$ |
$3.74981$ |
$[0, -1, 0, 97151, -4667711]$ |
\(y^2=x^3-x^2+97151x-4667711\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 56.24.0-56.v.1.4, 184.24.0.?, 1288.48.0.? |
$[(145, 3528), (49, 456)]$ |
