| 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 |
| 17.a3 |
17a1 |
17.a |
17a |
$4$ |
$4$ |
\( 17 \) |
\( - 17^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.96.0.32 |
2B |
$1088$ |
$1536$ |
$53$ |
$1$ |
$1$ |
|
$2$ |
$1$ |
$-0.376636$ |
$-35937/83521$ |
$1.18071$ |
$6.63128$ |
$[1, -1, 1, -1, -14]$ |
\(y^2+xy+y=x^3-x^2-x-14\) |
2.3.0.a.1, 4.24.0-4.d.1.1, 8.48.0-8.t.1.2, 16.96.0-16.m.2.1, 136.96.1.?, $\ldots$ |
$[]$ |
| 153.c4 |
153c4 |
153.c |
153c |
$4$ |
$4$ |
\( 3^{2} \cdot 17 \) |
\( - 3^{6} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$3264$ |
$1536$ |
$53$ |
$1$ |
$1$ |
|
$0$ |
$32$ |
$0.172670$ |
$-35937/83521$ |
$1.18071$ |
$5.04519$ |
$[1, -1, 0, -6, 377]$ |
\(y^2+xy=x^3-x^2-6x+377\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 12.24.0-4.d.1.1, 16.48.0.m.2, $\ldots$ |
$[]$ |
| 272.b4 |
272b4 |
272.b |
272b |
$4$ |
$4$ |
\( 2^{4} \cdot 17 \) |
\( - 2^{12} \cdot 17^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.32 |
2B |
$1088$ |
$1536$ |
$53$ |
$2.036297434$ |
$1$ |
|
$7$ |
$64$ |
$0.316511$ |
$-35937/83521$ |
$1.18071$ |
$4.83527$ |
$[0, 0, 0, -11, 890]$ |
\(y^2=x^3-11x+890\) |
2.3.0.a.1, 4.24.0-4.d.1.1, 8.48.0-8.t.1.2, 16.96.0-16.m.2.1, 136.96.1.?, $\ldots$ |
$[(-1, 30)]$ |
| 289.a3 |
289a4 |
289.a |
289a |
$4$ |
$4$ |
\( 17^{2} \) |
\( - 17^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.186 |
2B |
$1088$ |
$1536$ |
$53$ |
$3.035256177$ |
$1$ |
|
$0$ |
$288$ |
$1.039970$ |
$-35937/83521$ |
$1.18071$ |
$6.31564$ |
$[1, -1, 1, -199, -68272]$ |
\(y^2+xy+y=x^3-x^2-199x-68272\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0-8.t.1.4, 16.96.0-16.m.2.3, 68.24.0-4.d.1.1, $\ldots$ |
$[(239/2, 2647/2)]$ |
| 425.d3 |
425a4 |
425.d |
425a |
$4$ |
$4$ |
\( 5^{2} \cdot 17 \) |
\( - 5^{6} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$5440$ |
$1536$ |
$53$ |
$1.500953055$ |
$1$ |
|
$4$ |
$128$ |
$0.428083$ |
$-35937/83521$ |
$1.18071$ |
$4.69994$ |
$[1, -1, 0, -17, -1734]$ |
\(y^2+xy=x^3-x^2-17x-1734\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 20.24.0-4.d.1.1, $\ldots$ |
$[(14, 18)]$ |
| 833.a4 |
833a4 |
833.a |
833a |
$4$ |
$4$ |
\( 7^{2} \cdot 17 \) |
\( - 7^{6} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$7616$ |
$1536$ |
$53$ |
$1$ |
$1$ |
|
$0$ |
$288$ |
$0.596319$ |
$-35937/83521$ |
$1.18071$ |
$4.52983$ |
$[1, -1, 1, -34, 4778]$ |
\(y^2+xy+y=x^3-x^2-34x+4778\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 28.24.0-4.d.1.1, $\ldots$ |
$[]$ |
| 1088.h4 |
1088k4 |
1088.h |
1088k |
$4$ |
$4$ |
\( 2^{6} \cdot 17 \) |
\( - 2^{18} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.23 |
2B |
$1088$ |
$1536$ |
$53$ |
$1.300533693$ |
$1$ |
|
$5$ |
$512$ |
$0.663085$ |
$-35937/83521$ |
$1.18071$ |
$4.47140$ |
$[0, 0, 0, -44, 7120]$ |
\(y^2=x^3-44x+7120\) |
2.3.0.a.1, 4.24.0-4.d.1.2, 8.48.0-8.t.1.1, 16.96.0-16.m.2.2, 136.96.1.?, $\ldots$ |
$[(-3, 85)]$ |
| 1088.i3 |
1088e4 |
1088.i |
1088e |
$4$ |
$4$ |
\( 2^{6} \cdot 17 \) |
\( - 2^{18} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.23 |
2B |
$1088$ |
$1536$ |
$53$ |
$1$ |
$1$ |
|
$1$ |
$512$ |
$0.663085$ |
$-35937/83521$ |
$1.18071$ |
$4.47140$ |
$[0, 0, 0, -44, -7120]$ |
\(y^2=x^3-44x-7120\) |
2.3.0.a.1, 4.24.0-4.d.1.2, 8.48.0-8.t.1.1, 16.96.0-16.m.2.2, 136.96.1.?, $\ldots$ |
$[]$ |
| 2057.e4 |
2057c4 |
2057.e |
2057c |
$4$ |
$4$ |
\( 11^{2} \cdot 17 \) |
\( - 11^{6} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$11968$ |
$1536$ |
$53$ |
$1$ |
$1$ |
|
$0$ |
$1440$ |
$0.822311$ |
$-35937/83521$ |
$1.18071$ |
$4.34856$ |
$[1, -1, 0, -83, 18530]$ |
\(y^2+xy=x^3-x^2-83x+18530\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 44.24.0-4.d.1.1, $\ldots$ |
$[]$ |
| 2448.o3 |
2448o4 |
2448.o |
2448o |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 17 \) |
\( - 2^{12} \cdot 3^{6} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$3264$ |
$1536$ |
$53$ |
$3.624239889$ |
$1$ |
|
$3$ |
$2048$ |
$0.865817$ |
$-35937/83521$ |
$1.18071$ |
$4.31849$ |
$[0, 0, 0, -99, -24030]$ |
\(y^2=x^3-99x-24030\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 12.24.0-4.d.1.1, 16.48.0.m.2, $\ldots$ |
$[(55, 370)]$ |
| 2601.g4 |
2601j4 |
2601.g |
2601j |
$4$ |
$4$ |
\( 3^{2} \cdot 17^{2} \) |
\( - 3^{6} \cdot 17^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$3264$ |
$1536$ |
$53$ |
$1$ |
$1$ |
|
$0$ |
$9216$ |
$1.589277$ |
$-35937/83521$ |
$1.18071$ |
$5.38920$ |
$[1, -1, 0, -1788, 1845125]$ |
\(y^2+xy=x^3-x^2-1788x+1845125\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 24.48.0-8.t.1.3, $\ldots$ |
$[]$ |
| 2873.c3 |
2873a4 |
2873.c |
2873a |
$4$ |
$4$ |
\( 13^{2} \cdot 17 \) |
\( - 13^{6} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$14144$ |
$1536$ |
$53$ |
$1$ |
$1$ |
|
$0$ |
$2304$ |
$0.905839$ |
$-35937/83521$ |
$1.18071$ |
$4.29198$ |
$[1, -1, 0, -116, -30523]$ |
\(y^2+xy=x^3-x^2-116x-30523\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 52.24.0-4.d.1.1, $\ldots$ |
$[]$ |
| 3825.d4 |
3825i4 |
3825.d |
3825i |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 17 \) |
\( - 3^{6} \cdot 5^{6} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$16320$ |
$1536$ |
$53$ |
$0.345376248$ |
$1$ |
|
$8$ |
$4096$ |
$0.977389$ |
$-35937/83521$ |
$1.18071$ |
$4.24716$ |
$[1, -1, 1, -155, 46972]$ |
\(y^2+xy+y=x^3-x^2-155x+46972\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 60.24.0-4.d.1.1, $\ldots$ |
$[(-16, 220)]$ |
| 4624.d4 |
4624e4 |
4624.d |
4624e |
$4$ |
$4$ |
\( 2^{4} \cdot 17^{2} \) |
\( - 2^{12} \cdot 17^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.186 |
2B |
$1088$ |
$1536$ |
$53$ |
$1$ |
$4$ |
$2$ |
$1$ |
$18432$ |
$1.733118$ |
$-35937/83521$ |
$1.18071$ |
$5.22631$ |
$[0, 0, 0, -3179, 4372570]$ |
\(y^2=x^3-3179x+4372570\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0-8.t.1.4, 16.96.0-16.m.2.3, 68.24.0-4.d.1.1, $\ldots$ |
$[]$ |
| 6137.b4 |
6137b4 |
6137.b |
6137b |
$4$ |
$4$ |
\( 17 \cdot 19^{2} \) |
\( - 17^{4} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$20672$ |
$1536$ |
$53$ |
$3.574503186$ |
$1$ |
|
$0$ |
$6912$ |
$1.095583$ |
$-35937/83521$ |
$1.18071$ |
$4.17955$ |
$[1, -1, 0, -248, 95445]$ |
\(y^2+xy=x^3-x^2-248x+95445\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 76.24.0.?, $\ldots$ |
$[(83/2, 2433/2)]$ |
| 6800.n4 |
6800h4 |
6800.n |
6800h |
$4$ |
$4$ |
\( 2^{4} \cdot 5^{2} \cdot 17 \) |
\( - 2^{12} \cdot 5^{6} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$5440$ |
$1536$ |
$53$ |
$1$ |
$1$ |
|
$1$ |
$8192$ |
$1.121229$ |
$-35937/83521$ |
$1.18071$ |
$4.16584$ |
$[0, 0, 0, -275, 111250]$ |
\(y^2=x^3-275x+111250\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 20.24.0-4.d.1.1, $\ldots$ |
$[]$ |
| 7225.g3 |
7225b4 |
7225.g |
7225b |
$4$ |
$4$ |
\( 5^{2} \cdot 17^{2} \) |
\( - 5^{6} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$5440$ |
$1536$ |
$53$ |
$7.904266758$ |
$1$ |
|
$0$ |
$36864$ |
$1.844690$ |
$-35937/83521$ |
$1.18071$ |
$5.11448$ |
$[1, -1, 0, -4967, -8538934]$ |
\(y^2+xy=x^3-x^2-4967x-8538934\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 40.48.0-8.t.1.3, $\ldots$ |
$[(167794/21, 60048038/21)]$ |
| 7497.l3 |
7497o4 |
7497.l |
7497o |
$4$ |
$4$ |
\( 3^{2} \cdot 7^{2} \cdot 17 \) |
\( - 3^{6} \cdot 7^{6} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$22848$ |
$1536$ |
$53$ |
$1$ |
$1$ |
|
$0$ |
$9216$ |
$1.145624$ |
$-35937/83521$ |
$1.18071$ |
$4.15309$ |
$[1, -1, 0, -303, -128710]$ |
\(y^2+xy=x^3-x^2-303x-128710\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 84.24.0.?, $\ldots$ |
$[]$ |
| 8993.a4 |
8993a4 |
8993.a |
8993a |
$4$ |
$4$ |
\( 17 \cdot 23^{2} \) |
\( - 17^{4} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$25024$ |
$1536$ |
$53$ |
$1$ |
$1$ |
|
$0$ |
$12320$ |
$1.191111$ |
$-35937/83521$ |
$1.18071$ |
$4.13005$ |
$[1, -1, 1, -364, 169288]$ |
\(y^2+xy+y=x^3-x^2-364x+169288\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 92.24.0.?, $\ldots$ |
$[]$ |
| 9792.i3 |
9792bs4 |
9792.i |
9792bs |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 17 \) |
\( - 2^{18} \cdot 3^{6} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$3264$ |
$1536$ |
$53$ |
$4.990329480$ |
$1$ |
|
$3$ |
$16384$ |
$1.212391$ |
$-35937/83521$ |
$1.18071$ |
$4.11958$ |
$[0, 0, 0, -396, -192240]$ |
\(y^2=x^3-396x-192240\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 12.24.0-4.d.1.2, 16.48.0.m.2, $\ldots$ |
$[(256, 4060)]$ |
| 9792.n4 |
9792m4 |
9792.n |
9792m |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 17 \) |
\( - 2^{18} \cdot 3^{6} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$3264$ |
$1536$ |
$53$ |
$1$ |
$1$ |
|
$1$ |
$16384$ |
$1.212391$ |
$-35937/83521$ |
$1.18071$ |
$4.11958$ |
$[0, 0, 0, -396, 192240]$ |
\(y^2=x^3-396x+192240\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 12.24.0-4.d.1.2, 16.48.0.m.2, $\ldots$ |
$[]$ |
| 13328.p3 |
13328o4 |
13328.p |
13328o |
$4$ |
$4$ |
\( 2^{4} \cdot 7^{2} \cdot 17 \) |
\( - 2^{12} \cdot 7^{6} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$7616$ |
$1536$ |
$53$ |
$8.831103808$ |
$1$ |
|
$1$ |
$18432$ |
$1.289467$ |
$-35937/83521$ |
$1.18071$ |
$4.08324$ |
$[0, 0, 0, -539, -305270]$ |
\(y^2=x^3-539x-305270\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 28.24.0-4.d.1.1, $\ldots$ |
$[(9895/9, 878410/9)]$ |
| 14161.b4 |
14161b4 |
14161.b |
14161b |
$4$ |
$4$ |
\( 7^{2} \cdot 17^{2} \) |
\( - 7^{6} \cdot 17^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$7616$ |
$1536$ |
$53$ |
$1$ |
$1$ |
|
$0$ |
$82944$ |
$2.012924$ |
$-35937/83521$ |
$1.18071$ |
$4.96561$ |
$[1, -1, 1, -9736, 23436676]$ |
\(y^2+xy+y=x^3-x^2-9736x+23436676\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 56.48.0-8.t.1.3, $\ldots$ |
$[]$ |
| 14297.b3 |
14297a4 |
14297.b |
14297a |
$4$ |
$4$ |
\( 17 \cdot 29^{2} \) |
\( - 17^{4} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$31552$ |
$1536$ |
$53$ |
$8.832140463$ |
$1$ |
|
$0$ |
$24192$ |
$1.307013$ |
$-35937/83521$ |
$1.18071$ |
$4.07529$ |
$[1, -1, 0, -578, -339015]$ |
\(y^2+xy=x^3-x^2-578x-339015\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 116.24.0.?, $\ldots$ |
$[(139064/35, 41472467/35)]$ |
| 16337.a4 |
16337a4 |
16337.a |
16337a |
$4$ |
$4$ |
\( 17 \cdot 31^{2} \) |
\( - 17^{4} \cdot 31^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$33728$ |
$1536$ |
$53$ |
$1$ |
$1$ |
|
$0$ |
$30240$ |
$1.340357$ |
$-35937/83521$ |
$1.18071$ |
$4.06051$ |
$[1, -1, 1, -661, 414446]$ |
\(y^2+xy+y=x^3-x^2-661x+414446\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 124.24.0.?, $\ldots$ |
$[]$ |
| 18496.i3 |
18496c4 |
18496.i |
18496c |
$4$ |
$4$ |
\( 2^{6} \cdot 17^{2} \) |
\( - 2^{18} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.181 |
2B |
$1088$ |
$1536$ |
$53$ |
$5.723560337$ |
$1$ |
|
$3$ |
$147456$ |
$2.079693$ |
$-35937/83521$ |
$1.18071$ |
$4.91219$ |
$[0, 0, 0, -12716, -34980560]$ |
\(y^2=x^3-12716x-34980560\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0-8.t.1.3, 16.96.0-16.m.2.4, 68.24.0-4.d.1.2, $\ldots$ |
$[(376, 3660)]$ |
| 18496.k4 |
18496j4 |
18496.k |
18496j |
$4$ |
$4$ |
\( 2^{6} \cdot 17^{2} \) |
\( - 2^{18} \cdot 17^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.181 |
2B |
$1088$ |
$1536$ |
$53$ |
$1$ |
$4$ |
$2$ |
$1$ |
$147456$ |
$2.079693$ |
$-35937/83521$ |
$1.18071$ |
$4.91219$ |
$[0, 0, 0, -12716, 34980560]$ |
\(y^2=x^3-12716x+34980560\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0-8.t.1.3, 16.96.0-16.m.2.4, 68.24.0-4.d.1.2, $\ldots$ |
$[]$ |
| 18513.g3 |
18513q4 |
18513.g |
18513q |
$4$ |
$4$ |
\( 3^{2} \cdot 11^{2} \cdot 17 \) |
\( - 3^{6} \cdot 11^{6} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$35904$ |
$1536$ |
$53$ |
$1$ |
$1$ |
|
$0$ |
$46080$ |
$1.371618$ |
$-35937/83521$ |
$1.18071$ |
$4.04701$ |
$[1, -1, 1, -749, -499562]$ |
\(y^2+xy+y=x^3-x^2-749x-499562\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 132.24.0.?, $\ldots$ |
$[]$ |
| 20825.u4 |
20825o4 |
20825.u |
20825o |
$4$ |
$4$ |
\( 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 5^{6} \cdot 7^{6} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$38080$ |
$1536$ |
$53$ |
$1.425427438$ |
$1$ |
|
$2$ |
$36864$ |
$1.401037$ |
$-35937/83521$ |
$1.18071$ |
$4.03462$ |
$[1, -1, 0, -842, 596441]$ |
\(y^2+xy=x^3-x^2-842x+596441\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 136.48.1.?, $\ldots$ |
$[(104, 1223)]$ |
| 23273.g3 |
23273b3 |
23273.g |
23273b |
$4$ |
$4$ |
\( 17 \cdot 37^{2} \) |
\( - 17^{4} \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$40256$ |
$1536$ |
$53$ |
$15.55502528$ |
$1$ |
|
$0$ |
$51840$ |
$1.428823$ |
$-35937/83521$ |
$1.18071$ |
$4.02319$ |
$[1, -1, 0, -941, -704158]$ |
\(y^2+xy=x^3-x^2-941x-704158\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 136.48.1.?, $\ldots$ |
$[(150455134/987, 1539419885296/987)]$ |
| 25857.e4 |
25857i3 |
25857.e |
25857i |
$4$ |
$4$ |
\( 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 3^{6} \cdot 13^{6} \cdot 17^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$42432$ |
$1536$ |
$53$ |
$2.401290110$ |
$1$ |
|
$14$ |
$73728$ |
$1.455145$ |
$-35937/83521$ |
$1.18071$ |
$4.01258$ |
$[1, -1, 1, -1046, 825166]$ |
\(y^2+xy+y=x^3-x^2-1046x+825166\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 136.48.1.?, $\ldots$ |
$[(-68, 794), (166, 2198)]$ |
| 27200.bi3 |
27200c3 |
27200.bi |
27200c |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( - 2^{18} \cdot 5^{6} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$5440$ |
$1536$ |
$53$ |
$1.858110862$ |
$1$ |
|
$3$ |
$65536$ |
$1.467804$ |
$-35937/83521$ |
$1.18071$ |
$4.00756$ |
$[0, 0, 0, -1100, -890000]$ |
\(y^2=x^3-1100x-890000\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 20.24.0-4.d.1.2, $\ldots$ |
$[(190, 2400)]$ |
| 27200.bp4 |
27200br3 |
27200.bp |
27200br |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( - 2^{18} \cdot 5^{6} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$5440$ |
$1536$ |
$53$ |
$1$ |
$1$ |
|
$1$ |
$65536$ |
$1.467804$ |
$-35937/83521$ |
$1.18071$ |
$4.00756$ |
$[0, 0, 0, -1100, 890000]$ |
\(y^2=x^3-1100x+890000\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 20.24.0-4.d.1.2, $\ldots$ |
$[]$ |
| 28577.a3 |
28577a3 |
28577.a |
28577a |
$4$ |
$4$ |
\( 17 \cdot 41^{2} \) |
\( - 17^{4} \cdot 41^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$44608$ |
$1536$ |
$53$ |
$3.481365645$ |
$1$ |
|
$0$ |
$69120$ |
$1.480150$ |
$-35937/83521$ |
$1.18071$ |
$4.00271$ |
$[1, -1, 1, -1156, -958144]$ |
\(y^2+xy+y=x^3-x^2-1156x-958144\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 136.48.1.?, $\ldots$ |
$[(1067/2, 32549/2)]$ |
| 31433.b4 |
31433b3 |
31433.b |
31433b |
$4$ |
$4$ |
\( 17 \cdot 43^{2} \) |
\( - 17^{4} \cdot 43^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$46784$ |
$1536$ |
$53$ |
$6.498981354$ |
$1$ |
|
$0$ |
$80640$ |
$1.503963$ |
$-35937/83521$ |
$1.18071$ |
$3.99349$ |
$[1, -1, 0, -1271, 1105962]$ |
\(y^2+xy=x^3-x^2-1271x+1105962\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 136.48.1.?, $\ldots$ |
$[(4421/4, 289933/4)]$ |
| 32912.i3 |
32912t3 |
32912.i |
32912t |
$4$ |
$4$ |
\( 2^{4} \cdot 11^{2} \cdot 17 \) |
\( - 2^{12} \cdot 11^{6} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$11968$ |
$1536$ |
$53$ |
$10.63655986$ |
$1$ |
|
$1$ |
$92160$ |
$1.515459$ |
$-35937/83521$ |
$1.18071$ |
$3.98910$ |
$[0, 0, 0, -1331, -1184590]$ |
\(y^2=x^3-1331x-1184590\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 44.24.0-4.d.1.1, $\ldots$ |
$[(49351/21, 2413090/21)]$ |
| 34969.l4 |
34969e3 |
34969.l |
34969e |
$4$ |
$4$ |
\( 11^{2} \cdot 17^{2} \) |
\( - 11^{6} \cdot 17^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$11968$ |
$1536$ |
$53$ |
$1$ |
$9$ |
$3$ |
$0$ |
$414720$ |
$2.238918$ |
$-35937/83521$ |
$1.18071$ |
$4.79578$ |
$[1, -1, 0, -24041, 90941802]$ |
\(y^2+xy=x^3-x^2-24041x+90941802\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 88.48.0.?, $\ldots$ |
$[]$ |
| 37553.c4 |
37553a3 |
37553.c |
37553a |
$4$ |
$4$ |
\( 17 \cdot 47^{2} \) |
\( - 17^{4} \cdot 47^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$51136$ |
$1536$ |
$53$ |
$5.885295743$ |
$1$ |
|
$0$ |
$105984$ |
$1.548437$ |
$-35937/83521$ |
$1.18071$ |
$3.97671$ |
$[1, -1, 1, -1519, 1444168]$ |
\(y^2+xy+y=x^3-x^2-1519x+1444168\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 136.48.1.?, $\ldots$ |
$[(997/4, 78639/4)]$ |
| 41616.v3 |
41616cl3 |
41616.v |
41616cl |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 17^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$3264$ |
$1536$ |
$53$ |
$13.65757227$ |
$1$ |
|
$1$ |
$589824$ |
$2.282425$ |
$-35937/83521$ |
$1.18071$ |
$4.76640$ |
$[0, 0, 0, -28611, -118059390]$ |
\(y^2=x^3-28611x-118059390\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 24.48.0-8.t.1.3, $\ldots$ |
$[(1568191/21, 1958999750/21)]$ |
| 45968.k4 |
45968p3 |
45968.k |
45968p |
$4$ |
$4$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( - 2^{12} \cdot 13^{6} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$14144$ |
$1536$ |
$53$ |
$2.561454242$ |
$1$ |
|
$5$ |
$147456$ |
$1.598986$ |
$-35937/83521$ |
$1.18071$ |
$3.95831$ |
$[0, 0, 0, -1859, 1955330]$ |
\(y^2=x^3-1859x+1955330\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 52.24.0-4.d.1.1, $\ldots$ |
$[(-113, 850)]$ |
| 47753.i3 |
47753f3 |
47753.i |
47753f |
$4$ |
$4$ |
\( 17 \cdot 53^{2} \) |
\( - 17^{4} \cdot 53^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$57664$ |
$1536$ |
$53$ |
$1$ |
$4$ |
$2$ |
$0$ |
$149760$ |
$1.608509$ |
$-35937/83521$ |
$1.18071$ |
$3.95493$ |
$[1, -1, 0, -1931, -2069838]$ |
\(y^2+xy=x^3-x^2-1931x-2069838\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 136.48.1.?, $\ldots$ |
$[]$ |
| 48841.c3 |
48841a3 |
48841.c |
48841a |
$4$ |
$4$ |
\( 13^{2} \cdot 17^{2} \) |
\( - 13^{6} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$14144$ |
$1536$ |
$53$ |
$14.57637612$ |
$1$ |
|
$0$ |
$663552$ |
$2.322445$ |
$-35937/83521$ |
$1.18071$ |
$4.74021$ |
$[1, -1, 0, -33578, -150093735]$ |
\(y^2+xy=x^3-x^2-33578x-150093735\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 104.48.0.?, $\ldots$ |
$[(23215555/114, 108430697705/114)]$ |
| 51425.m4 |
51425u3 |
51425.m |
51425u |
$4$ |
$4$ |
\( 5^{2} \cdot 11^{2} \cdot 17 \) |
\( - 5^{6} \cdot 11^{6} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$59840$ |
$1536$ |
$53$ |
$1.339162391$ |
$1$ |
|
$6$ |
$184320$ |
$1.627031$ |
$-35937/83521$ |
$1.18071$ |
$3.94840$ |
$[1, -1, 1, -2080, 2314172]$ |
\(y^2+xy+y=x^3-x^2-2080x+2314172\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 136.48.1.?, $\ldots$ |
$[(14, 1505)]$ |
| 53312.ba4 |
53312o3 |
53312.ba |
53312o |
$4$ |
$4$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( - 2^{18} \cdot 7^{6} \cdot 17^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$7616$ |
$1536$ |
$53$ |
$5.711203455$ |
$1$ |
|
$11$ |
$147456$ |
$1.636040$ |
$-35937/83521$ |
$1.18071$ |
$3.94526$ |
$[0, 0, 0, -2156, 2442160]$ |
\(y^2=x^3-2156x+2442160\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 28.24.0-4.d.1.2, $\ldots$ |
$[(-42, 1568), (4662, 318304)]$ |
| 53312.bb3 |
53312bt3 |
53312.bb |
53312bt |
$4$ |
$4$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( - 2^{18} \cdot 7^{6} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$7616$ |
$1536$ |
$53$ |
$9.647789985$ |
$1$ |
|
$1$ |
$147456$ |
$1.636040$ |
$-35937/83521$ |
$1.18071$ |
$3.94526$ |
$[0, 0, 0, -2156, -2442160]$ |
\(y^2=x^3-2156x-2442160\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 28.24.0-4.d.1.2, $\ldots$ |
$[(19244/11, 1480800/11)]$ |
| 55233.g3 |
55233g3 |
55233.g |
55233g |
$4$ |
$4$ |
\( 3^{2} \cdot 17 \cdot 19^{2} \) |
\( - 3^{6} \cdot 17^{4} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$62016$ |
$1536$ |
$53$ |
$13.35234307$ |
$1$ |
|
$0$ |
$221184$ |
$1.644890$ |
$-35937/83521$ |
$1.18071$ |
$3.94220$ |
$[1, -1, 1, -2234, -2574782]$ |
\(y^2+xy+y=x^3-x^2-2234x-2574782\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 136.48.1.?, $\ldots$ |
$[(10179989/140, 31306794833/140)]$ |
| 59177.d4 |
59177b3 |
59177.d |
59177b |
$4$ |
$4$ |
\( 17 \cdot 59^{2} \) |
\( - 17^{4} \cdot 59^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$64192$ |
$1536$ |
$53$ |
$8.628537383$ |
$1$ |
|
$0$ |
$200448$ |
$1.662132$ |
$-35937/83521$ |
$1.18071$ |
$3.93629$ |
$[1, -1, 0, -2393, 2856650]$ |
\(y^2+xy=x^3-x^2-2393x+2856650\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 136.48.1.?, $\ldots$ |
$[(45397/4, 9579639/4)]$ |
| 61200.gy3 |
61200fz3 |
61200.gy |
61200fz |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{6} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$16320$ |
$1536$ |
$53$ |
$1$ |
$1$ |
|
$1$ |
$262144$ |
$1.670536$ |
$-35937/83521$ |
$1.18071$ |
$3.93343$ |
$[0, 0, 0, -2475, -3003750]$ |
\(y^2=x^3-2475x-3003750\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 60.24.0-4.d.1.1, $\ldots$ |
$[]$ |
| 63257.a3 |
63257a3 |
63257.a |
63257a |
$4$ |
$4$ |
\( 17 \cdot 61^{2} \) |
\( - 17^{4} \cdot 61^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$66368$ |
$1536$ |
$53$ |
$4.373139313$ |
$1$ |
|
$0$ |
$224640$ |
$1.678801$ |
$-35937/83521$ |
$1.18071$ |
$3.93064$ |
$[1, -1, 0, -2558, -3155815]$ |
\(y^2+xy=x^3-x^2-2558x-3155815\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 136.48.1.?, $\ldots$ |
$[(3952/3, 235937/3)]$ |
| 65025.u4 |
65025bo3 |
65025.u |
65025bo |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( - 3^{6} \cdot 5^{6} \cdot 17^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$16320$ |
$1536$ |
$53$ |
$1$ |
$1$ |
|
$0$ |
$1179648$ |
$2.393997$ |
$-35937/83521$ |
$1.18071$ |
$4.69527$ |
$[1, -1, 1, -44705, 230595922]$ |
\(y^2+xy+y=x^3-x^2-44705x+230595922\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 120.48.0.?, $\ldots$ |
$[]$ |
