| 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 |
| 68544.a1 |
68544ef2 |
68544.a |
68544ef |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( 2^{25} \cdot 3^{6} \cdot 7^{4} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1032192$ |
$1.994473$ |
$37936442980801/88817792$ |
$0.95838$ |
$4.52036$ |
$[0, 0, 0, -403212, 98348560]$ |
\(y^2=x^3-403212x+98348560\) |
2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.? |
$[]$ |
| 68544.a2 |
68544ef1 |
68544.a |
68544ef |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( 2^{32} \cdot 3^{6} \cdot 7^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$516096$ |
$1.647900$ |
$23912763841/13647872$ |
$0.98171$ |
$3.85856$ |
$[0, 0, 0, -34572, 290320]$ |
\(y^2=x^3-34572x+290320\) |
2.3.0.a.1, 8.6.0.c.1, 34.6.0.a.1, 136.12.0.? |
$[]$ |
| 68544.b1 |
68544cs2 |
68544.b |
68544cs |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( 2^{25} \cdot 3^{6} \cdot 7^{4} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1032192$ |
$1.994473$ |
$37936442980801/88817792$ |
$0.95838$ |
$4.52036$ |
$[0, 0, 0, -403212, -98348560]$ |
\(y^2=x^3-403212x-98348560\) |
2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.? |
$[]$ |
| 68544.b2 |
68544cs1 |
68544.b |
68544cs |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( 2^{32} \cdot 3^{6} \cdot 7^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$516096$ |
$1.647900$ |
$23912763841/13647872$ |
$0.98171$ |
$3.85856$ |
$[0, 0, 0, -34572, -290320]$ |
\(y^2=x^3-34572x-290320\) |
2.3.0.a.1, 8.6.0.c.1, 34.6.0.a.1, 136.12.0.? |
$[]$ |
| 68544.c1 |
68544bt1 |
68544.c |
68544bt |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( - 2^{14} \cdot 3^{15} \cdot 7^{2} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$2.241536694$ |
$1$ |
|
$0$ |
$7741440$ |
$3.218884$ |
$-6434900743458429657088/395758108932291$ |
$1.06283$ |
$5.97310$ |
$[0, 0, 0, -88577184, -320888382176]$ |
\(y^2=x^3-88577184x-320888382176\) |
102.2.0.? |
$[(92033/2, 25071039/2)]$ |
| 68544.d1 |
68544f1 |
68544.d |
68544f |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( - 2^{6} \cdot 3^{9} \cdot 7^{6} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1.258832211$ |
$1$ |
|
$2$ |
$184320$ |
$1.320797$ |
$-3153242386944/2000033$ |
$1.04779$ |
$3.84608$ |
$[0, 0, 0, -32994, 2308014]$ |
\(y^2=x^3-32994x+2308014\) |
102.2.0.? |
$[(85, 343)]$ |
| 68544.e1 |
68544ed3 |
68544.e |
68544ed |
$3$ |
$9$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( - 2^{19} \cdot 3^{7} \cdot 7^{3} \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.5 |
3B |
$8568$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$14929920$ |
$3.433136$ |
$-6150311179917589675873/244053849830826$ |
$1.03702$ |
$6.21803$ |
$[0, 0, 0, -219860364, -1254825734384]$ |
\(y^2=x^3-219860364x-1254825734384\) |
3.4.0.a.1, 9.36.0.d.2, 24.8.0-3.a.1.4, 72.72.0.?, 714.8.0.?, $\ldots$ |
$[]$ |
| 68544.e2 |
68544ed2 |
68544.e |
68544ed |
$3$ |
$9$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( - 2^{21} \cdot 3^{9} \cdot 7^{9} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$8568$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$4976640$ |
$2.883831$ |
$-101566487155393/42823570577256$ |
$1.05717$ |
$5.20084$ |
$[0, 0, 0, -559884, -4355430896]$ |
\(y^2=x^3-559884x-4355430896\) |
3.12.0.a.1, 9.36.0.a.1, 24.24.0-3.a.1.2, 72.72.0.?, 714.24.0.?, $\ldots$ |
$[]$ |
| 68544.e3 |
68544ed1 |
68544.e |
68544ed |
$3$ |
$9$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( - 2^{27} \cdot 3^{15} \cdot 7^{3} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$8568$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$1658880$ |
$2.334526$ |
$139233463487/58763045376$ |
$1.03208$ |
$4.60866$ |
$[0, 0, 0, 62196, 161118736]$ |
\(y^2=x^3+62196x+161118736\) |
3.4.0.a.1, 9.36.0.d.1, 24.8.0-3.a.1.3, 72.72.0.?, 714.8.0.?, $\ldots$ |
$[]$ |
| 68544.f1 |
68544cw1 |
68544.f |
68544cw |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( - 2^{6} \cdot 3^{9} \cdot 7^{2} \cdot 17 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$3.099201307$ |
$1$ |
|
$6$ |
$30720$ |
$0.410781$ |
$-13824/833$ |
$0.76187$ |
$2.53571$ |
$[0, 0, 0, -54, -1566]$ |
\(y^2=x^3-54x-1566\) |
102.2.0.? |
$[(21, 81), (57/2, 189/2)]$ |
| 68544.g1 |
68544bs1 |
68544.g |
68544bs |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( - 2^{15} \cdot 3^{13} \cdot 7 \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2856$ |
$2$ |
$0$ |
$1.285087416$ |
$1$ |
|
$2$ |
$100352$ |
$1.144321$ |
$449455096/260253$ |
$1.00718$ |
$3.31492$ |
$[0, 0, 0, 4596, -2896]$ |
\(y^2=x^3+4596x-2896\) |
2856.2.0.? |
$[(13, 243)]$ |
| 68544.h1 |
68544cv1 |
68544.h |
68544cv |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( - 2^{19} \cdot 3^{3} \cdot 7^{3} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2856$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$92160$ |
$1.038733$ |
$-19486825371/11662$ |
$0.90778$ |
$3.54429$ |
$[0, 0, 0, -10764, -430064]$ |
\(y^2=x^3-10764x-430064\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 714.8.0.?, 2856.16.0.? |
$[]$ |
| 68544.h2 |
68544cv2 |
68544.h |
68544cv |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( - 2^{21} \cdot 3^{9} \cdot 7 \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2856$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$276480$ |
$1.588039$ |
$17779581/275128$ |
$0.91363$ |
$3.79927$ |
$[0, 0, 0, 9396, -1778544]$ |
\(y^2=x^3+9396x-1778544\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 714.8.0.?, 2856.16.0.? |
$[]$ |
| 68544.i1 |
68544ec1 |
68544.i |
68544ec |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( - 2^{6} \cdot 3^{13} \cdot 7^{2} \cdot 17 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1.074063582$ |
$1$ |
|
$6$ |
$71680$ |
$0.818073$ |
$-8390176768/1821771$ |
$0.90870$ |
$3.04614$ |
$[0, 0, 0, -1524, 26854]$ |
\(y^2=x^3-1524x+26854\) |
102.2.0.? |
$[(47, 243), (-55/2, 1701/2)]$ |
| 68544.j1 |
68544dt1 |
68544.j |
68544dt |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( - 2^{14} \cdot 3^{9} \cdot 7^{4} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$408$ |
$16$ |
$0$ |
$1.428579658$ |
$1$ |
|
$2$ |
$442368$ |
$1.770813$ |
$-11632923639808/318495051$ |
$1.03083$ |
$4.16936$ |
$[0, 0, 0, -107904, 13961824]$ |
\(y^2=x^3-107904x+13961824\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 102.8.0.?, 408.16.0.? |
$[(137, 1323)]$ |
| 68544.j2 |
68544dt2 |
68544.j |
68544dt |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( - 2^{14} \cdot 3^{7} \cdot 7^{12} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$408$ |
$16$ |
$0$ |
$4.285738975$ |
$1$ |
|
$2$ |
$1327104$ |
$2.320118$ |
$1021544365555712/705905647251$ |
$1.08891$ |
$4.56711$ |
$[0, 0, 0, 479616, 56322016]$ |
\(y^2=x^3+479616x+56322016\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 102.8.0.?, 408.16.0.? |
$[(98057, 30706389)]$ |
| 68544.k1 |
68544q1 |
68544.k |
68544q |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( - 2^{19} \cdot 3^{3} \cdot 7^{3} \cdot 17 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2856$ |
$16$ |
$0$ |
$0.334633053$ |
$1$ |
|
$20$ |
$92160$ |
$1.038733$ |
$-19486825371/11662$ |
$0.90778$ |
$3.54429$ |
$[0, 0, 0, -10764, 430064]$ |
\(y^2=x^3-10764x+430064\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 1428.8.0.?, 2856.16.0.? |
$[(-2, 672), (62, 32)]$ |
| 68544.k2 |
68544q2 |
68544.k |
68544q |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( - 2^{21} \cdot 3^{9} \cdot 7 \cdot 17^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2856$ |
$16$ |
$0$ |
$3.011697477$ |
$1$ |
|
$10$ |
$276480$ |
$1.588039$ |
$17779581/275128$ |
$0.91363$ |
$3.79927$ |
$[0, 0, 0, 9396, 1778544]$ |
\(y^2=x^3+9396x+1778544\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 1428.8.0.?, 2856.16.0.? |
$[(78, 1728), (-50, 1088)]$ |
| 68544.l1 |
68544cq1 |
68544.l |
68544cq |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( - 2^{6} \cdot 3^{13} \cdot 7^{2} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$71680$ |
$0.818073$ |
$-8390176768/1821771$ |
$0.90870$ |
$3.04614$ |
$[0, 0, 0, -1524, -26854]$ |
\(y^2=x^3-1524x-26854\) |
102.2.0.? |
$[]$ |
| 68544.m1 |
68544cf1 |
68544.m |
68544cf |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( - 2^{14} \cdot 3^{9} \cdot 7^{4} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$408$ |
$16$ |
$0$ |
$3.838254169$ |
$1$ |
|
$2$ |
$442368$ |
$1.770813$ |
$-11632923639808/318495051$ |
$1.03083$ |
$4.16936$ |
$[0, 0, 0, -107904, -13961824]$ |
\(y^2=x^3-107904x-13961824\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 102.8.0.?, 408.16.0.? |
$[(409, 3213)]$ |
| 68544.m2 |
68544cf2 |
68544.m |
68544cf |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( - 2^{14} \cdot 3^{7} \cdot 7^{12} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$408$ |
$16$ |
$0$ |
$1.279418056$ |
$1$ |
|
$2$ |
$1327104$ |
$2.320118$ |
$1021544365555712/705905647251$ |
$1.08891$ |
$4.56711$ |
$[0, 0, 0, 479616, -56322016]$ |
\(y^2=x^3+479616x-56322016\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 102.8.0.?, 408.16.0.? |
$[(2785, 151263)]$ |
| 68544.n1 |
68544co1 |
68544.n |
68544co |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( - 2^{15} \cdot 3^{13} \cdot 7 \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2856$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$100352$ |
$1.144321$ |
$449455096/260253$ |
$1.00718$ |
$3.31492$ |
$[0, 0, 0, 4596, 2896]$ |
\(y^2=x^3+4596x+2896\) |
2856.2.0.? |
$[]$ |
| 68544.o1 |
68544cp3 |
68544.o |
68544cp |
$3$ |
$9$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( - 2^{19} \cdot 3^{7} \cdot 7^{3} \cdot 17^{9} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.5 |
3B |
$8568$ |
$144$ |
$3$ |
$0.201142204$ |
$1$ |
|
$26$ |
$14929920$ |
$3.433136$ |
$-6150311179917589675873/244053849830826$ |
$1.03702$ |
$6.21803$ |
$[0, 0, 0, -219860364, 1254825734384]$ |
\(y^2=x^3-219860364x+1254825734384\) |
3.4.0.a.1, 9.36.0.d.2, 24.8.0-3.a.1.2, 72.72.0.?, 1428.8.0.?, $\ldots$ |
$[(8350, 34272), (113230/3, 18708704/3)]$ |
| 68544.o2 |
68544cp2 |
68544.o |
68544cp |
$3$ |
$9$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( - 2^{21} \cdot 3^{9} \cdot 7^{9} \cdot 17^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$8568$ |
$144$ |
$3$ |
$0.201142204$ |
$1$ |
|
$26$ |
$4976640$ |
$2.883831$ |
$-101566487155393/42823570577256$ |
$1.05717$ |
$5.20084$ |
$[0, 0, 0, -559884, 4355430896]$ |
\(y^2=x^3-559884x+4355430896\) |
3.12.0.a.1, 9.36.0.a.1, 24.24.0-3.a.1.1, 72.72.0.?, 1428.24.0.?, $\ldots$ |
$[(46654, 10075968), (1672, 89964)]$ |
| 68544.o3 |
68544cp1 |
68544.o |
68544cp |
$3$ |
$9$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( - 2^{27} \cdot 3^{15} \cdot 7^{3} \cdot 17 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$8568$ |
$144$ |
$3$ |
$1.810279839$ |
$1$ |
|
$10$ |
$1658880$ |
$2.334526$ |
$139233463487/58763045376$ |
$1.03208$ |
$4.60866$ |
$[0, 0, 0, 62196, -161118736]$ |
\(y^2=x^3+62196x-161118736\) |
3.4.0.a.1, 9.36.0.d.1, 24.8.0-3.a.1.1, 72.72.0.?, 1428.8.0.?, $\ldots$ |
$[(5182, 373248), (808, 20412)]$ |
| 68544.p1 |
68544de1 |
68544.p |
68544de |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( - 2^{6} \cdot 3^{9} \cdot 7^{2} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1.079950117$ |
$1$ |
|
$2$ |
$30720$ |
$0.410781$ |
$-13824/833$ |
$0.76187$ |
$2.53571$ |
$[0, 0, 0, -54, 1566]$ |
\(y^2=x^3-54x+1566\) |
102.2.0.? |
$[(33, 189)]$ |
| 68544.q1 |
68544ez1 |
68544.q |
68544ez |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( - 2^{14} \cdot 3^{15} \cdot 7^{2} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1.538418191$ |
$1$ |
|
$2$ |
$7741440$ |
$3.218884$ |
$-6434900743458429657088/395758108932291$ |
$1.06283$ |
$5.97310$ |
$[0, 0, 0, -88577184, 320888382176]$ |
\(y^2=x^3-88577184x+320888382176\) |
102.2.0.? |
$[(2785, 309519)]$ |
| 68544.r1 |
68544r1 |
68544.r |
68544r |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( - 2^{6} \cdot 3^{9} \cdot 7^{6} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$184320$ |
$1.320797$ |
$-3153242386944/2000033$ |
$1.04779$ |
$3.84608$ |
$[0, 0, 0, -32994, -2308014]$ |
\(y^2=x^3-32994x-2308014\) |
102.2.0.? |
$[]$ |
| 68544.s1 |
68544dr2 |
68544.s |
68544dr |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( 2^{17} \cdot 3^{8} \cdot 7^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$952$ |
$12$ |
$0$ |
$1.224080959$ |
$1$ |
|
$7$ |
$163840$ |
$1.264774$ |
$2204605874/127449$ |
$0.87230$ |
$3.58223$ |
$[0, 0, 0, -12396, -503984]$ |
\(y^2=x^3-12396x-503984\) |
2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.? |
$[(-70, 144)]$ |
| 68544.s2 |
68544dr1 |
68544.s |
68544dr |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( - 2^{16} \cdot 3^{10} \cdot 7 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$952$ |
$12$ |
$0$ |
$2.448161918$ |
$1$ |
|
$5$ |
$81920$ |
$0.918201$ |
$415292/9639$ |
$0.84540$ |
$3.07897$ |
$[0, 0, 0, 564, -32240]$ |
\(y^2=x^3+564x-32240\) |
2.3.0.a.1, 8.6.0.c.1, 238.6.0.?, 952.12.0.? |
$[(42, 256)]$ |
| 68544.t1 |
68544dq6 |
68544.t |
68544dq |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( 2^{21} \cdot 3^{14} \cdot 7^{2} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$816$ |
$192$ |
$1$ |
$74.09943237$ |
$1$ |
|
$1$ |
$47185920$ |
$4.168159$ |
$285531136548675601769470657/17941034271597192$ |
$1.06247$ |
$7.18303$ |
$[0, 0, 0, -7901915916, -270362650933744]$ |
\(y^2=x^3-7901915916x-270362650933744\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 12.12.0-4.c.1.2, 24.96.0-8.p.1.3, $\ldots$ |
$[(-8980599643520709915622656838749376/418293948414865, 251383014929045913639365421573880824069443408932/418293948414865)]$ |
| 68544.t2 |
68544dq4 |
68544.t |
68544dq |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( 2^{24} \cdot 3^{22} \cdot 7^{4} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.96 |
2Cs |
$408$ |
$192$ |
$1$ |
$37.04971618$ |
$1$ |
|
$3$ |
$23592960$ |
$3.821583$ |
$70108386184777836280897/552468975892674624$ |
$1.07814$ |
$6.43657$ |
$[0, 0, 0, -494809356, -4207535177200]$ |
\(y^2=x^3-494809356x-4207535177200\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.f.1, 12.24.0-4.b.1.2, 24.96.0-8.f.1.5, $\ldots$ |
$[(-40517905591973824/1728169, 472211663954526702325060/1728169)]$ |
| 68544.t3 |
68544dq5 |
68544.t |
68544dq |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( - 2^{21} \cdot 3^{38} \cdot 7^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.204 |
2B |
$816$ |
$192$ |
$1$ |
$18.52485809$ |
$1$ |
|
$1$ |
$47185920$ |
$4.168159$ |
$-2770540998624539614657/209924951154647363208$ |
$1.08173$ |
$6.58486$ |
$[0, 0, 0, -168539916, -9673331343856]$ |
\(y^2=x^3-168539916x-9673331343856\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.k.1, 12.12.0-4.c.1.1, 16.48.0.e.1, $\ldots$ |
$[(37069267474/893, 6485326516880064/893)]$ |
| 68544.t4 |
68544dq2 |
68544.t |
68544dq |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( 2^{30} \cdot 3^{14} \cdot 7^{8} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.97 |
2Cs |
$408$ |
$192$ |
$1$ |
$18.52485809$ |
$1$ |
|
$3$ |
$11796480$ |
$3.475010$ |
$82582985847542515777/44772582831427584$ |
$1.09721$ |
$5.83092$ |
$[0, 0, 0, -52257036, 36541571600]$ |
\(y^2=x^3-52257036x+36541571600\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.i.1, 24.96.0-8.i.1.4, 68.24.0.c.1, $\ldots$ |
$[(12281221693/157, 1360870204614597/157)]$ |
| 68544.t5 |
68544dq1 |
68544.t |
68544dq |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( 2^{42} \cdot 3^{10} \cdot 7^{4} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.102 |
2B |
$816$ |
$192$ |
$1$ |
$9.262429046$ |
$1$ |
|
$1$ |
$5898240$ |
$3.128433$ |
$38331145780597164097/55468445663232$ |
$1.02142$ |
$5.76199$ |
$[0, 0, 0, -40460556, 98935513616]$ |
\(y^2=x^3-40460556x+98935513616\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0.z.1, 24.48.0-8.bb.1.6, $\ldots$ |
$[(1029184/17, 16339932/17)]$ |
| 68544.t6 |
68544dq3 |
68544.t |
68544dq |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( - 2^{24} \cdot 3^{10} \cdot 7^{16} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.120 |
2B |
$816$ |
$192$ |
$1$ |
$37.04971618$ |
$1$ |
|
$1$ |
$23592960$ |
$3.821583$ |
$4738217997934888496063/2928751705237796928$ |
$1.06742$ |
$6.19460$ |
$[0, 0, 0, 201551604, 287406031376]$ |
\(y^2=x^3+201551604x+287406031376\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 16.48.0.z.2, 24.48.0-8.bb.2.1, $\ldots$ |
$[(36452153135944309/270511, 6962441926234427438278671/270511)]$ |
| 68544.u1 |
68544cy2 |
68544.u |
68544cy |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( 2^{14} \cdot 3^{3} \cdot 7^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$2.206789101$ |
$1$ |
|
$5$ |
$30720$ |
$0.522956$ |
$347482224/833$ |
$0.80931$ |
$2.93358$ |
$[0, 0, 0, -1116, -14320]$ |
\(y^2=x^3-1116x-14320\) |
2.3.0.a.1, 84.6.0.?, 204.6.0.?, 476.6.0.?, 1428.12.0.? |
$[(-19, 5)]$ |
| 68544.u2 |
68544cy1 |
68544.u |
68544cy |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( 2^{10} \cdot 3^{3} \cdot 7 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$1.103394550$ |
$1$ |
|
$5$ |
$15360$ |
$0.176382$ |
$3538944/2023$ |
$1.07666$ |
$2.27266$ |
$[0, 0, 0, -96, -40]$ |
\(y^2=x^3-96x-40\) |
2.3.0.a.1, 42.6.0.a.1, 204.6.0.?, 476.6.0.?, 1428.12.0.? |
$[(-7, 17)]$ |
| 68544.v1 |
68544bq2 |
68544.v |
68544bq |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( 2^{19} \cdot 3^{6} \cdot 7^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$952$ |
$12$ |
$0$ |
$1.028254768$ |
$1$ |
|
$7$ |
$98304$ |
$1.137749$ |
$60698457/28322$ |
$0.89781$ |
$3.32187$ |
$[0, 0, 0, -4716, -54864]$ |
\(y^2=x^3-4716x-54864\) |
2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.? |
$[(-26, 224)]$ |
| 68544.v2 |
68544bq1 |
68544.v |
68544bq |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( - 2^{20} \cdot 3^{6} \cdot 7 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$952$ |
$12$ |
$0$ |
$2.056509536$ |
$1$ |
|
$5$ |
$49152$ |
$0.791175$ |
$658503/476$ |
$0.89406$ |
$2.91562$ |
$[0, 0, 0, 1044, -6480]$ |
\(y^2=x^3+1044x-6480\) |
2.3.0.a.1, 8.6.0.c.1, 238.6.0.?, 952.12.0.? |
$[(24, 180)]$ |
| 68544.w1 |
68544k2 |
68544.w |
68544k |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( 2^{14} \cdot 3^{3} \cdot 7^{10} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$337920$ |
$1.693539$ |
$79708988544624/4802079233$ |
$1.06636$ |
$4.04206$ |
$[0, 0, 0, -68316, 6505200]$ |
\(y^2=x^3-68316x+6505200\) |
2.3.0.a.1, 84.6.0.?, 204.6.0.?, 476.6.0.?, 1428.12.0.? |
$[]$ |
| 68544.w2 |
68544k1 |
68544.w |
68544k |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( 2^{10} \cdot 3^{3} \cdot 7^{5} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$168960$ |
$1.346966$ |
$1219067475001344/4857223$ |
$1.18836$ |
$4.03801$ |
$[0, 0, 0, -67296, 6719400]$ |
\(y^2=x^3-67296x+6719400\) |
2.3.0.a.1, 42.6.0.a.1, 204.6.0.?, 476.6.0.?, 1428.12.0.? |
$[]$ |
| 68544.x1 |
68544be4 |
68544.x |
68544be |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( 2^{17} \cdot 3^{12} \cdot 7^{3} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$36$ |
$2, 3$ |
$1$ |
$17694720$ |
$3.786888$ |
$322159999717985454060440834/4250799$ |
$1.10805$ |
$7.13162$ |
$[0, 0, 0, -6529227276, -203067673360144]$ |
\(y^2=x^3-6529227276x-203067673360144\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 12.12.0-4.c.1.2, 24.24.0-8.p.1.8, $\ldots$ |
$[]$ |
| 68544.x2 |
68544be3 |
68544.x |
68544be |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( 2^{17} \cdot 3^{12} \cdot 7^{12} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$17694720$ |
$3.786888$ |
$79260902459030376659234/842751810121431609$ |
$1.04228$ |
$6.38534$ |
$[0, 0, 0, -409126476, -3155787112336]$ |
\(y^2=x^3-409126476x-3155787112336\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 12.12.0-4.c.1.1, 24.24.0-8.k.1.1, $\ldots$ |
$[]$ |
| 68544.x3 |
68544be2 |
68544.x |
68544be |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( 2^{16} \cdot 3^{18} \cdot 7^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$2856$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$3$ |
$8847360$ |
$3.440315$ |
$157304700372188331121828/18069292138401$ |
$1.04207$ |
$6.38465$ |
$[0, 0, 0, -408076716, -3172932212560]$ |
\(y^2=x^3-408076716x-3172932212560\) |
2.6.0.a.1, 8.12.0.a.1, 12.12.0-2.a.1.1, 24.24.0-8.a.1.2, 476.12.0.?, $\ldots$ |
$[]$ |
| 68544.x4 |
68544be1 |
68544.x |
68544be |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( - 2^{14} \cdot 3^{30} \cdot 7^{3} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$4423680$ |
$3.093739$ |
$-152435594466395827792/1646846627220711$ |
$1.01679$ |
$5.63864$ |
$[0, 0, 0, -25439196, -49844774320]$ |
\(y^2=x^3-25439196x-49844774320\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 24.24.0-8.p.1.5, 238.6.0.?, $\ldots$ |
$[]$ |
| 68544.y1 |
68544bf4 |
68544.y |
68544bf |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( 2^{21} \cdot 3^{14} \cdot 7 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1179648$ |
$2.235577$ |
$14489843500598257/6246072$ |
$0.99019$ |
$5.05428$ |
$[0, 0, 0, -2925516, -1925979536]$ |
\(y^2=x^3-2925516x-1925979536\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 12.12.0-4.c.1.2, 24.24.0-8.p.1.8, $\ldots$ |
$[]$ |
| 68544.y2 |
68544bf3 |
68544.y |
68544bf |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( 2^{21} \cdot 3^{8} \cdot 7^{4} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1179648$ |
$2.235577$ |
$34623662831857/14438442312$ |
$0.97689$ |
$4.51215$ |
$[0, 0, 0, -391116, 49764976]$ |
\(y^2=x^3-391116x+49764976\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 12.12.0-4.c.1.1, 24.24.0-8.k.1.1, $\ldots$ |
$[]$ |
| 68544.y3 |
68544bf2 |
68544.y |
68544bf |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( 2^{24} \cdot 3^{10} \cdot 7^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$589824$ |
$1.889004$ |
$3590714269297/73410624$ |
$0.94339$ |
$4.30864$ |
$[0, 0, 0, -183756, -29778320]$ |
\(y^2=x^3-183756x-29778320\) |
2.6.0.a.1, 8.12.0.a.1, 12.12.0-2.a.1.1, 24.24.0-8.a.1.2, 476.12.0.?, $\ldots$ |
$[]$ |
| 68544.y4 |
68544bf1 |
68544.y |
68544bf |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( - 2^{30} \cdot 3^{8} \cdot 7 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$1.542429$ |
$103823/4386816$ |
$1.04374$ |
$3.75539$ |
$[0, 0, 0, 564, -1393040]$ |
\(y^2=x^3+564x-1393040\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 24.24.0-8.p.1.5, 238.6.0.?, $\ldots$ |
$[]$ |
