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 |
1190.f3 |
1190d2 |
1190.f |
1190d |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{14} \cdot 5^{4} \cdot 7^{2} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.1 |
2Cs |
$56$ |
$48$ |
$0$ |
$0.373254868$ |
$1$ |
|
$16$ |
$5376$ |
$1.558622$ |
$71149857462630609489/41907496960000$ |
$1.06891$ |
$6.45484$ |
$[1, -1, 1, -86328, 9779387]$ |
\(y^2+xy+y=x^3-x^2-86328x+9779387\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.2, 28.24.0-28.b.1.1, 56.48.0-56.d.1.3 |
$[(137, 645)]$ |
5950.g3 |
5950c2 |
5950.g |
5950c |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 2^{14} \cdot 5^{10} \cdot 7^{2} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$129024$ |
$2.363342$ |
$71149857462630609489/41907496960000$ |
$1.06891$ |
$6.37061$ |
$[1, -1, 0, -2158192, 1220265216]$ |
\(y^2+xy=x^3-x^2-2158192x+1220265216\) |
2.6.0.a.1, 8.12.0.a.1, 20.12.0-2.a.1.1, 28.12.0.b.1, 40.24.0-8.a.1.2, $\ldots$ |
$[ ]$ |
8330.t3 |
8330v2 |
8330.t |
8330v |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 2^{14} \cdot 5^{4} \cdot 7^{8} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.5 |
2Cs |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$258048$ |
$2.531578$ |
$71149857462630609489/41907496960000$ |
$1.06891$ |
$6.35680$ |
$[1, -1, 1, -4230057, -3345869719]$ |
\(y^2+xy+y=x^3-x^2-4230057x-3345869719\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.3, 28.24.0-28.b.1.1, 56.48.0-56.d.1.2 |
$[ ]$ |
9520.j3 |
9520h2 |
9520.j |
9520h |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{26} \cdot 5^{4} \cdot 7^{2} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.2 |
2Cs |
$56$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$129024$ |
$2.251770$ |
$71149857462630609489/41907496960000$ |
$1.06891$ |
$5.89763$ |
$[0, 0, 0, -1381243, -624499542]$ |
\(y^2=x^3-1381243x-624499542\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.1, 28.24.0-28.b.1.2, 56.48.0-56.d.1.1 |
$[ ]$ |
10710.i3 |
10710j2 |
10710.i |
10710j |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{14} \cdot 3^{6} \cdot 5^{4} \cdot 7^{2} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$168$ |
$48$ |
$0$ |
$2.823466285$ |
$1$ |
|
$8$ |
$172032$ |
$2.107929$ |
$71149857462630609489/41907496960000$ |
$1.06891$ |
$5.63675$ |
$[1, -1, 0, -776949, -263266507]$ |
\(y^2+xy=x^3-x^2-776949x-263266507\) |
2.6.0.a.1, 8.12.0.a.1, 12.12.0-2.a.1.1, 24.24.0-8.a.1.2, 28.12.0.b.1, $\ldots$ |
$[(-503, 544)]$ |
20230.o3 |
20230q2 |
20230.o |
20230q |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{14} \cdot 5^{4} \cdot 7^{2} \cdot 17^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$952$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$1548288$ |
$2.975231$ |
$71149857462630609489/41907496960000$ |
$1.06891$ |
$6.32487$ |
$[1, -1, 1, -24948702, 47946334829]$ |
\(y^2+xy+y=x^3-x^2-24948702x+47946334829\) |
2.6.0.a.1, 8.12.0.a.1, 28.12.0.b.1, 56.24.0.d.1, 68.12.0-2.a.1.1, $\ldots$ |
$[ ]$ |
38080.z3 |
38080q2 |
38080.z |
38080q |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{32} \cdot 5^{4} \cdot 7^{2} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.1 |
2Cs |
$56$ |
$48$ |
$0$ |
$3.388583463$ |
$1$ |
|
$7$ |
$1032192$ |
$2.598343$ |
$71149857462630609489/41907496960000$ |
$1.06891$ |
$5.51678$ |
$[0, 0, 0, -5524972, 4995996336]$ |
\(y^2=x^3-5524972x+4995996336\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.2, 28.24.0-28.b.1.3, 56.48.0-56.d.1.7 |
$[(1400, 2244)]$ |
38080.bc3 |
38080br2 |
38080.bc |
38080br |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{32} \cdot 5^{4} \cdot 7^{2} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.2 |
2Cs |
$56$ |
$48$ |
$0$ |
$6.594815112$ |
$1$ |
|
$5$ |
$1032192$ |
$2.598343$ |
$71149857462630609489/41907496960000$ |
$1.06891$ |
$5.51678$ |
$[0, 0, 0, -5524972, -4995996336]$ |
\(y^2=x^3-5524972x-4995996336\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.1, 28.24.0-28.b.1.3, 56.48.0-56.d.1.5 |
$[(59868, 14637000)]$ |
41650.p3 |
41650r2 |
41650.p |
41650r |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( 2^{14} \cdot 5^{10} \cdot 7^{8} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$280$ |
$48$ |
$0$ |
$10.11066031$ |
$1$ |
|
$2$ |
$6193152$ |
$3.336296$ |
$71149857462630609489/41907496960000$ |
$1.06891$ |
$6.30282$ |
$[1, -1, 0, -105751417, -418339466259]$ |
\(y^2+xy=x^3-x^2-105751417x-418339466259\) |
2.6.0.a.1, 8.12.0.a.1, 20.12.0-2.a.1.1, 28.12.0.b.1, 40.24.0-8.a.1.3, $\ldots$ |
$[(-4381613/27, 271596347/27)]$ |
47600.r3 |
47600n2 |
47600.r |
47600n |
$4$ |
$4$ |
\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 2^{26} \cdot 5^{10} \cdot 7^{2} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$280$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$3$ |
$3096576$ |
$3.056488$ |
$71149857462630609489/41907496960000$ |
$1.06891$ |
$5.91293$ |
$[0, 0, 0, -34531075, -78062442750]$ |
\(y^2=x^3-34531075x-78062442750\) |
2.6.0.a.1, 8.12.0.a.1, 20.12.0-2.a.1.1, 28.12.0.b.1, 40.24.0-8.a.1.1, $\ldots$ |
$[ ]$ |
53550.eq3 |
53550ea2 |
53550.eq |
53550ea |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 2^{14} \cdot 3^{6} \cdot 5^{10} \cdot 7^{2} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$840$ |
$48$ |
$0$ |
$1.264947372$ |
$1$ |
|
$14$ |
$4128768$ |
$2.912647$ |
$71149857462630609489/41907496960000$ |
$1.06891$ |
$5.69044$ |
$[1, -1, 1, -19423730, -32927737103]$ |
\(y^2+xy+y=x^3-x^2-19423730x-32927737103\) |
2.6.0.a.1, 8.12.0.a.1, 28.12.0.b.1, 56.24.0.d.1, 60.12.0-2.a.1.1, $\ldots$ |
$[(-2561, 5105)]$ |
66640.bp3 |
66640cc2 |
66640.bp |
66640cc |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 2^{26} \cdot 5^{4} \cdot 7^{8} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.5 |
2Cs |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$6193152$ |
$3.224724$ |
$71149857462630609489/41907496960000$ |
$1.06891$ |
$5.91557$ |
$[0, 0, 0, -67680907, 214203342906]$ |
\(y^2=x^3-67680907x+214203342906\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.3, 28.24.0-28.b.1.2, 56.48.0-56.d.1.4 |
$[ ]$ |
74970.x3 |
74970be2 |
74970.x |
74970be |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 2^{14} \cdot 3^{6} \cdot 5^{4} \cdot 7^{8} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$8257536$ |
$3.080883$ |
$71149857462630609489/41907496960000$ |
$1.06891$ |
$5.69972$ |
$[1, -1, 0, -38070510, 90376552916]$ |
\(y^2+xy=x^3-x^2-38070510x+90376552916\) |
2.6.0.a.1, 8.12.0.a.1, 12.12.0-2.a.1.1, 24.24.0-8.a.1.3, 28.12.0.b.1, $\ldots$ |
$[ ]$ |
85680.et3 |
85680fq2 |
85680.et |
85680fq |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{26} \cdot 3^{6} \cdot 5^{4} \cdot 7^{2} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$168$ |
$48$ |
$0$ |
$2.649452678$ |
$1$ |
|
$9$ |
$4128768$ |
$2.801075$ |
$71149857462630609489/41907496960000$ |
$1.06891$ |
$5.33710$ |
$[0, 0, 0, -12431187, 16861487634]$ |
\(y^2=x^3-12431187x+16861487634\) |
2.6.0.a.1, 8.12.0.a.1, 12.12.0-2.a.1.1, 24.24.0-8.a.1.1, 28.12.0.b.1, $\ldots$ |
$[(2103, 4410)]$ |
101150.r3 |
101150b2 |
101150.r |
101150b |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 17^{2} \) |
\( 2^{14} \cdot 5^{10} \cdot 7^{2} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$4760$ |
$48$ |
$0$ |
$14.02777532$ |
$1$ |
|
$2$ |
$37158912$ |
$3.779949$ |
$71149857462630609489/41907496960000$ |
$1.06891$ |
$6.27950$ |
$[1, -1, 0, -623717542, 5992668136116]$ |
\(y^2+xy=x^3-x^2-623717542x+5992668136116\) |
2.6.0.a.1, 8.12.0.a.1, 28.12.0.b.1, 56.24.0.d.1, 340.12.0.?, $\ldots$ |
$[(3166115/53, 342368371693/53)]$ |
141610.ci3 |
141610u2 |
141610.ci |
141610u |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( 2^{14} \cdot 5^{4} \cdot 7^{8} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$952$ |
$48$ |
$0$ |
$15.05108420$ |
$1$ |
|
$2$ |
$74317824$ |
$3.948185$ |
$71149857462630609489/41907496960000$ |
$1.06891$ |
$6.27157$ |
$[1, -1, 1, -1222486383, -16443147873673]$ |
\(y^2+xy+y=x^3-x^2-1222486383x-16443147873673\) |
2.6.0.a.1, 8.12.0.a.1, 28.12.0.b.1, 56.24.0.d.1, 68.12.0-2.a.1.1, $\ldots$ |
$[(148972547/23, 1801815053226/23)]$ |
143990.n3 |
143990bn2 |
143990.n |
143990bn |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 17 \) |
\( 2^{14} \cdot 5^{4} \cdot 7^{2} \cdot 11^{6} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$616$ |
$48$ |
$0$ |
$11.78730873$ |
$1$ |
|
$2$ |
$6881280$ |
$2.757572$ |
$71149857462630609489/41907496960000$ |
$1.06891$ |
$5.05988$ |
$[1, -1, 0, -10445650, -12985027500]$ |
\(y^2+xy=x^3-x^2-10445650x-12985027500\) |
2.6.0.a.1, 8.12.0.a.1, 28.12.0.b.1, 44.12.0-2.a.1.1, 56.24.0.d.1, $\ldots$ |
$[(-5203875/53, 491699925/53)]$ |
161840.bf3 |
161840u2 |
161840.bf |
161840u |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{26} \cdot 5^{4} \cdot 7^{2} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$952$ |
$48$ |
$0$ |
$24.29141040$ |
$1$ |
|
$3$ |
$37158912$ |
$3.668377$ |
$71149857462630609489/41907496960000$ |
$1.06891$ |
$5.92181$ |
$[0, 0, 0, -399179227, -3068166249846]$ |
\(y^2=x^3-399179227x-3068166249846\) |
2.6.0.a.1, 8.12.0.a.1, 28.12.0.b.1, 56.24.0.d.1, 68.12.0-2.a.1.1, $\ldots$ |
$[(829142565615/5711, 333888700202627958/5711)]$ |
182070.t3 |
182070cx2 |
182070.t |
182070cx |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{14} \cdot 3^{6} \cdot 5^{4} \cdot 7^{2} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$2856$ |
$48$ |
$0$ |
$13.86248588$ |
$1$ |
|
$2$ |
$49545216$ |
$3.524536$ |
$71149857462630609489/41907496960000$ |
$1.06891$ |
$5.72172$ |
$[1, -1, 0, -224538315, -1294326502075]$ |
\(y^2+xy=x^3-x^2-224538315x-1294326502075\) |
2.6.0.a.1, 8.12.0.a.1, 28.12.0.b.1, 56.24.0.d.1, 204.12.0.?, $\ldots$ |
$[(402075190/89, 7643217311645/89)]$ |
190400.bw3 |
190400bn2 |
190400.bw |
190400bn |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 2^{32} \cdot 5^{10} \cdot 7^{2} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$24772608$ |
$3.403065$ |
$71149857462630609489/41907496960000$ |
$1.06891$ |
$5.58076$ |
$[0, 0, 0, -138124300, -624499542000]$ |
\(y^2=x^3-138124300x-624499542000\) |
2.6.0.a.1, 8.12.0.a.1, 20.12.0-2.a.1.1, 28.12.0.b.1, 40.24.0-8.a.1.1, $\ldots$ |
$[ ]$ |
190400.dc3 |
190400dp2 |
190400.dc |
190400dp |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 2^{32} \cdot 5^{10} \cdot 7^{2} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$280$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$3$ |
$24772608$ |
$3.403065$ |
$71149857462630609489/41907496960000$ |
$1.06891$ |
$5.58076$ |
$[0, 0, 0, -138124300, 624499542000]$ |
\(y^2=x^3-138124300x+624499542000\) |
2.6.0.a.1, 8.12.0.a.1, 20.12.0-2.a.1.1, 28.12.0.b.1, 40.24.0-8.a.1.2, $\ldots$ |
$[ ]$ |
201110.q3 |
201110bk2 |
201110.q |
201110bk |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 13^{2} \cdot 17 \) |
\( 2^{14} \cdot 5^{4} \cdot 7^{2} \cdot 13^{6} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$728$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$12386304$ |
$2.841099$ |
$71149857462630609489/41907496960000$ |
$1.06891$ |
$5.00352$ |
$[1, -1, 0, -14589379, 21441545685]$ |
\(y^2+xy=x^3-x^2-14589379x+21441545685\) |
2.6.0.a.1, 8.12.0.a.1, 28.12.0.b.1, 52.12.0-2.a.1.1, 56.24.0.d.1, $\ldots$ |
$[ ]$ |
266560.cw3 |
266560cw2 |
266560.cw |
266560cw |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 2^{32} \cdot 5^{4} \cdot 7^{8} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.7 |
2Cs |
$56$ |
$48$ |
$0$ |
$16.60794497$ |
$1$ |
|
$3$ |
$49545216$ |
$3.571301$ |
$71149857462630609489/41907496960000$ |
$1.06891$ |
$5.59205$ |
$[0, 0, 0, -270723628, 1713626743248]$ |
\(y^2=x^3-270723628x+1713626743248\) |
2.6.0.a.1, 4.12.0-2.a.1.2, 8.24.0-8.a.1.4, 28.24.0-28.b.1.4, 56.48.0-56.d.1.8 |
$[(201332716/103, 2018045898000/103)]$ |
266560.dv3 |
266560dv2 |
266560.dv |
266560dv |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 2^{32} \cdot 5^{4} \cdot 7^{8} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.7 |
2Cs |
$56$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$3$ |
$49545216$ |
$3.571301$ |
$71149857462630609489/41907496960000$ |
$1.06891$ |
$5.59205$ |
$[0, 0, 0, -270723628, -1713626743248]$ |
\(y^2=x^3-270723628x-1713626743248\) |
2.6.0.a.1, 4.12.0-2.a.1.2, 8.24.0-8.a.1.4, 28.24.0-28.b.1.4, 56.48.0-56.d.1.6 |
$[ ]$ |
333200.eh3 |
333200eh2 |
333200.eh |
333200eh |
$4$ |
$4$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( 2^{26} \cdot 5^{10} \cdot 7^{8} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$148635648$ |
$4.029442$ |
$71149857462630609489/41907496960000$ |
$1.06891$ |
$5.92625$ |
$[0, 0, 0, -1692022675, 26775417863250]$ |
\(y^2=x^3-1692022675x+26775417863250\) |
2.6.0.a.1, 8.12.0.a.1, 20.12.0-2.a.1.1, 28.12.0.b.1, 40.24.0-8.a.1.3, $\ldots$ |
$[ ]$ |
342720.s3 |
342720s2 |
342720.s |
342720s |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{32} \cdot 3^{6} \cdot 5^{4} \cdot 7^{2} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$33030144$ |
$3.147652$ |
$71149857462630609489/41907496960000$ |
$1.06891$ |
$5.08288$ |
$[0, 0, 0, -49724748, -134891901072]$ |
\(y^2=x^3-49724748x-134891901072\) |
2.6.0.a.1, 8.12.0.a.1, 12.12.0-2.a.1.1, 24.24.0-8.a.1.2, 28.12.0.b.1, $\ldots$ |
$[ ]$ |
342720.gx3 |
342720gx2 |
342720.gx |
342720gx |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{32} \cdot 3^{6} \cdot 5^{4} \cdot 7^{2} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$33030144$ |
$3.147652$ |
$71149857462630609489/41907496960000$ |
$1.06891$ |
$5.08288$ |
$[0, 0, 0, -49724748, 134891901072]$ |
\(y^2=x^3-49724748x+134891901072\) |
2.6.0.a.1, 8.12.0.a.1, 12.12.0-2.a.1.1, 24.24.0-8.a.1.1, 28.12.0.b.1, $\ldots$ |
$[ ]$ |
374850.oo3 |
374850oo2 |
374850.oo |
374850oo |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( 2^{14} \cdot 3^{6} \cdot 5^{10} \cdot 7^{8} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$198180864$ |
$3.885605$ |
$71149857462630609489/41907496960000$ |
$1.06891$ |
$5.73737$ |
$[1, -1, 1, -951762755, 11296117351747]$ |
\(y^2+xy+y=x^3-x^2-951762755x+11296117351747\) |
2.6.0.a.1, 8.12.0.a.1, 28.12.0.b.1, 56.24.0.d.1, 60.12.0-2.a.1.1, $\ldots$ |
$[ ]$ |
428400.bj3 |
428400bj2 |
428400.bj |
428400bj |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 2^{26} \cdot 3^{6} \cdot 5^{10} \cdot 7^{2} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$99090432$ |
$3.605797$ |
$71149857462630609489/41907496960000$ |
$1.06891$ |
$5.41937$ |
$[0, 0, 0, -310779675, 2107685954250]$ |
\(y^2=x^3-310779675x+2107685954250\) |
2.6.0.a.1, 8.12.0.a.1, 28.12.0.b.1, 56.24.0.d.1, 60.12.0-2.a.1.1, $\ldots$ |
$[ ]$ |
429590.h3 |
429590h2 |
429590.h |
429590h |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 17 \cdot 19^{2} \) |
\( 2^{14} \cdot 5^{4} \cdot 7^{2} \cdot 17^{4} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$1064$ |
$48$ |
$0$ |
$6.350022532$ |
$1$ |
|
$4$ |
$32514048$ |
$3.030842$ |
$71149857462630609489/41907496960000$ |
$1.06891$ |
$4.88628$ |
$[1, -1, 0, -31164295, -66920995779]$ |
\(y^2+xy=x^3-x^2-31164295x-66920995779\) |
2.6.0.a.1, 8.12.0.a.1, 28.12.0.b.1, 56.24.0.d.1, 76.12.0.?, $\ldots$ |
$[(20743, 2855191)]$ |