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.a1 |
17a3 |
17.a |
17a |
$4$ |
$4$ |
\( 17 \) |
\( 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
32.96.0.18 |
2B |
$1088$ |
$1536$ |
$53$ |
$1$ |
$1$ |
|
$0$ |
$4$ |
$-0.376636$ |
$82483294977/17$ |
$1.03131$ |
$8.87186$ |
$[1, -1, 1, -91, -310]$ |
\(y^2+xy+y=x^3-x^2-91x-310\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.3, 16.48.0-16.j.1.3, 32.96.0-32.f.2.1, $\ldots$ |
$[]$ |
153.c1 |
153c3 |
153.c |
153c |
$4$ |
$4$ |
\( 3^{2} \cdot 17 \) |
\( 3^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$3264$ |
$1536$ |
$53$ |
$1$ |
$1$ |
|
$0$ |
$32$ |
$0.172670$ |
$82483294977/17$ |
$1.03131$ |
$6.30711$ |
$[1, -1, 0, -816, 9179]$ |
\(y^2+xy=x^3-x^2-816x+9179\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.1, 16.24.0.j.1, $\ldots$ |
$[]$ |
272.b1 |
272b3 |
272.b |
272b |
$4$ |
$4$ |
\( 2^{4} \cdot 17 \) |
\( 2^{12} \cdot 17 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.10 |
2B |
$1088$ |
$1536$ |
$53$ |
$2.036297434$ |
$1$ |
|
$7$ |
$64$ |
$0.316511$ |
$82483294977/17$ |
$1.03131$ |
$5.96768$ |
$[0, 0, 0, -1451, 21274]$ |
\(y^2=x^3-1451x+21274\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.o.1.1, 16.48.0-16.j.1.1, 32.96.0-32.f.2.2, $\ldots$ |
$[(31, 78)]$ |
289.a1 |
289a3 |
289.a |
289a |
$4$ |
$4$ |
\( 17^{2} \) |
\( 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.20 |
2B |
$1088$ |
$1536$ |
$53$ |
$3.035256177$ |
$1$ |
|
$2$ |
$288$ |
$1.039970$ |
$82483294977/17$ |
$1.03131$ |
$7.43593$ |
$[1, -1, 1, -26209, -1626560]$ |
\(y^2+xy+y=x^3-x^2-26209x-1626560\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.6, 16.48.0-16.j.1.6, 32.96.0-32.f.2.8, $\ldots$ |
$[(625, 14715)]$ |
425.d1 |
425a3 |
425.d |
425a |
$4$ |
$4$ |
\( 5^{2} \cdot 17 \) |
\( 5^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$5440$ |
$1536$ |
$53$ |
$6.003812221$ |
$1$ |
|
$0$ |
$128$ |
$0.428083$ |
$82483294977/17$ |
$1.03131$ |
$5.74884$ |
$[1, -1, 0, -2267, -40984]$ |
\(y^2+xy=x^3-x^2-2267x-40984\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 20.12.0-4.c.1.1, $\ldots$ |
$[(1589/4, 50597/4)]$ |
833.a1 |
833a3 |
833.a |
833a |
$4$ |
$4$ |
\( 7^{2} \cdot 17 \) |
\( 7^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$7616$ |
$1536$ |
$53$ |
$1$ |
$1$ |
|
$0$ |
$288$ |
$0.596319$ |
$82483294977/17$ |
$1.03131$ |
$5.47378$ |
$[1, -1, 1, -4444, 115126]$ |
\(y^2+xy+y=x^3-x^2-4444x+115126\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 28.12.0-4.c.1.1, $\ldots$ |
$[]$ |
1088.h1 |
1088k3 |
1088.h |
1088k |
$4$ |
$4$ |
\( 2^{6} \cdot 17 \) |
\( 2^{18} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.98 |
2B |
$1088$ |
$1536$ |
$53$ |
$1.300533693$ |
$1$ |
|
$3$ |
$512$ |
$0.663085$ |
$82483294977/17$ |
$1.03131$ |
$5.37929$ |
$[0, 0, 0, -5804, 170192]$ |
\(y^2=x^3-5804x+170192\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.7, 16.48.0-16.j.1.7, 32.96.0-32.f.2.5, $\ldots$ |
$[(26, 192)]$ |
1088.i1 |
1088e3 |
1088.i |
1088e |
$4$ |
$4$ |
\( 2^{6} \cdot 17 \) |
\( 2^{18} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.94 |
2B |
$1088$ |
$1536$ |
$53$ |
$1$ |
$4$ |
$2$ |
$1$ |
$512$ |
$0.663085$ |
$82483294977/17$ |
$1.03131$ |
$5.37929$ |
$[0, 0, 0, -5804, -170192]$ |
\(y^2=x^3-5804x-170192\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.5, 16.48.0-16.j.1.5, 32.96.0-32.f.2.6, $\ldots$ |
$[]$ |
2057.e1 |
2057c3 |
2057.e |
2057c |
$4$ |
$4$ |
\( 11^{2} \cdot 17 \) |
\( 11^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$11968$ |
$1536$ |
$53$ |
$1$ |
$1$ |
|
$0$ |
$1440$ |
$0.822311$ |
$82483294977/17$ |
$1.03131$ |
$5.18065$ |
$[1, -1, 0, -10973, 445176]$ |
\(y^2+xy=x^3-x^2-10973x+445176\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$ |
$[]$ |
2448.o1 |
2448o3 |
2448.o |
2448o |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 17 \) |
\( 2^{12} \cdot 3^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$3264$ |
$1536$ |
$53$ |
$3.624239889$ |
$1$ |
|
$3$ |
$2048$ |
$0.865817$ |
$82483294977/17$ |
$1.03131$ |
$5.13202$ |
$[0, 0, 0, -13059, -574398]$ |
\(y^2=x^3-13059x-574398\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.2, 16.24.0.j.1, $\ldots$ |
$[(159, 1170)]$ |
2601.g1 |
2601j3 |
2601.g |
2601j |
$4$ |
$4$ |
\( 3^{2} \cdot 17^{2} \) |
\( 3^{6} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$3264$ |
$1536$ |
$53$ |
$1$ |
$1$ |
|
$0$ |
$9216$ |
$1.589277$ |
$82483294977/17$ |
$1.03131$ |
$6.19646$ |
$[1, -1, 0, -235878, 44152991]$ |
\(y^2+xy=x^3-x^2-235878x+44152991\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.1, 16.24.0.j.1, $\ldots$ |
$[]$ |
2873.c1 |
2873a3 |
2873.c |
2873a |
$4$ |
$4$ |
\( 13^{2} \cdot 17 \) |
\( 13^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$14144$ |
$1536$ |
$53$ |
$1$ |
$4$ |
$2$ |
$0$ |
$2304$ |
$0.905839$ |
$82483294977/17$ |
$1.03131$ |
$5.08916$ |
$[1, -1, 0, -15326, -726465]$ |
\(y^2+xy=x^3-x^2-15326x-726465\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$ |
$[]$ |
3825.d1 |
3825i3 |
3825.d |
3825i |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 3^{6} \cdot 5^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$16320$ |
$1536$ |
$53$ |
$1.381504994$ |
$1$ |
|
$4$ |
$4096$ |
$0.977389$ |
$82483294977/17$ |
$1.03131$ |
$5.01668$ |
$[1, -1, 1, -20405, 1126972]$ |
\(y^2+xy+y=x^3-x^2-20405x+1126972\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$ |
$[(85, -7)]$ |
4624.d1 |
4624e3 |
4624.d |
4624e |
$4$ |
$4$ |
\( 2^{4} \cdot 17^{2} \) |
\( 2^{12} \cdot 17^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.12 |
2B |
$1088$ |
$1536$ |
$53$ |
$1$ |
$4$ |
$2$ |
$3$ |
$18432$ |
$1.733118$ |
$82483294977/17$ |
$1.03131$ |
$5.97853$ |
$[0, 0, 0, -419339, 104519162]$ |
\(y^2=x^3-419339x+104519162\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.o.1.8, 16.48.0-16.j.1.8, 32.96.0-32.f.2.7, $\ldots$ |
$[]$ |
6137.b1 |
6137b3 |
6137.b |
6137b |
$4$ |
$4$ |
\( 17 \cdot 19^{2} \) |
\( 17 \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$20672$ |
$1536$ |
$53$ |
$3.574503186$ |
$1$ |
|
$0$ |
$6912$ |
$1.095583$ |
$82483294977/17$ |
$1.03131$ |
$4.90737$ |
$[1, -1, 0, -32738, 2288159]$ |
\(y^2+xy=x^3-x^2-32738x+2288159\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$ |
$[(2386/5, 14251/5)]$ |
6800.n1 |
6800h3 |
6800.n |
6800h |
$4$ |
$4$ |
\( 2^{4} \cdot 5^{2} \cdot 17 \) |
\( 2^{12} \cdot 5^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$5440$ |
$1536$ |
$53$ |
$1$ |
$1$ |
|
$1$ |
$8192$ |
$1.121229$ |
$82483294977/17$ |
$1.03131$ |
$4.88519$ |
$[0, 0, 0, -36275, 2659250]$ |
\(y^2=x^3-36275x+2659250\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 20.12.0-4.c.1.2, $\ldots$ |
$[]$ |
7225.g1 |
7225b3 |
7225.g |
7225b |
$4$ |
$4$ |
\( 5^{2} \cdot 17^{2} \) |
\( 5^{6} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$5440$ |
$1536$ |
$53$ |
$31.61706703$ |
$1$ |
|
$0$ |
$36864$ |
$1.844690$ |
$82483294977/17$ |
$1.03131$ |
$5.82893$ |
$[1, -1, 0, -655217, -203975184]$ |
\(y^2+xy=x^3-x^2-655217x-203975184\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 20.12.0-4.c.1.1, $\ldots$ |
$[(-1183558796675241/1591810, 917714583723572604207/1591810)]$ |
7497.l1 |
7497o3 |
7497.l |
7497o |
$4$ |
$4$ |
\( 3^{2} \cdot 7^{2} \cdot 17 \) |
\( 3^{6} \cdot 7^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$22848$ |
$1536$ |
$53$ |
$1$ |
$4$ |
$2$ |
$0$ |
$9216$ |
$1.145624$ |
$82483294977/17$ |
$1.03131$ |
$4.86458$ |
$[1, -1, 0, -39993, -3068416]$ |
\(y^2+xy=x^3-x^2-39993x-3068416\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$ |
$[]$ |
8993.a1 |
8993a3 |
8993.a |
8993a |
$4$ |
$4$ |
\( 17 \cdot 23^{2} \) |
\( 17 \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$25024$ |
$1536$ |
$53$ |
$1$ |
$1$ |
|
$0$ |
$12320$ |
$1.191111$ |
$82483294977/17$ |
$1.03131$ |
$4.82731$ |
$[1, -1, 1, -47974, 4056380]$ |
\(y^2+xy+y=x^3-x^2-47974x+4056380\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$ |
$[]$ |
9792.i1 |
9792bs3 |
9792.i |
9792bs |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 17 \) |
\( 2^{18} \cdot 3^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$3264$ |
$1536$ |
$53$ |
$4.990329480$ |
$1$ |
|
$3$ |
$16384$ |
$1.212391$ |
$82483294977/17$ |
$1.03131$ |
$4.81039$ |
$[0, 0, 0, -52236, -4595184]$ |
\(y^2=x^3-52236x-4595184\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 24.24.0-8.o.1.5, $\ldots$ |
$[(309, 2961)]$ |
9792.n1 |
9792m3 |
9792.n |
9792m |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 17 \) |
\( 2^{18} \cdot 3^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$3264$ |
$1536$ |
$53$ |
$1$ |
$1$ |
|
$1$ |
$16384$ |
$1.212391$ |
$82483294977/17$ |
$1.03131$ |
$4.81039$ |
$[0, 0, 0, -52236, 4595184]$ |
\(y^2=x^3-52236x+4595184\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 24.24.0-8.o.1.7, $\ldots$ |
$[]$ |
13328.p1 |
13328o3 |
13328.p |
13328o |
$4$ |
$4$ |
\( 2^{4} \cdot 7^{2} \cdot 17 \) |
\( 2^{12} \cdot 7^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$7616$ |
$1536$ |
$53$ |
$8.831103808$ |
$1$ |
|
$1$ |
$18432$ |
$1.289467$ |
$82483294977/17$ |
$1.03131$ |
$4.75162$ |
$[0, 0, 0, -71099, -7296982]$ |
\(y^2=x^3-71099x-7296982\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 28.12.0-4.c.1.2, $\ldots$ |
$[(9839/5, 633438/5)]$ |
14161.b1 |
14161b3 |
14161.b |
14161b |
$4$ |
$4$ |
\( 7^{2} \cdot 17^{2} \) |
\( 7^{6} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$7616$ |
$1536$ |
$53$ |
$1$ |
$1$ |
|
$0$ |
$82944$ |
$2.012924$ |
$82483294977/17$ |
$1.03131$ |
$5.62976$ |
$[1, -1, 1, -1284226, 560478440]$ |
\(y^2+xy+y=x^3-x^2-1284226x+560478440\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 28.12.0-4.c.1.1, $\ldots$ |
$[]$ |
14297.b1 |
14297a3 |
14297.b |
14297a |
$4$ |
$4$ |
\( 17 \cdot 29^{2} \) |
\( 17 \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$31552$ |
$1536$ |
$53$ |
$35.32856185$ |
$1$ |
|
$0$ |
$24192$ |
$1.307013$ |
$82483294977/17$ |
$1.03131$ |
$4.73877$ |
$[1, -1, 0, -76268, -8087989]$ |
\(y^2+xy=x^3-x^2-76268x-8087989\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$ |
$[(-48367013634081233/17432106, 416188339868265408857959/17432106)]$ |
16337.a1 |
16337a3 |
16337.a |
16337a |
$4$ |
$4$ |
\( 17 \cdot 31^{2} \) |
\( 17 \cdot 31^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$33728$ |
$1536$ |
$53$ |
$1$ |
$1$ |
|
$0$ |
$30240$ |
$1.340357$ |
$82483294977/17$ |
$1.03131$ |
$4.71486$ |
$[1, -1, 1, -87151, 9924502]$ |
\(y^2+xy+y=x^3-x^2-87151x+9924502\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$ |
$[]$ |
18496.i1 |
18496c3 |
18496.i |
18496c |
$4$ |
$4$ |
\( 2^{6} \cdot 17^{2} \) |
\( 2^{18} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.96 |
2B |
$1088$ |
$1536$ |
$53$ |
$5.723560337$ |
$1$ |
|
$3$ |
$147456$ |
$2.079693$ |
$82483294977/17$ |
$1.03131$ |
$5.55828$ |
$[0, 0, 0, -1677356, -836153296]$ |
\(y^2=x^3-1677356x-836153296\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.4, 16.48.0-16.j.1.4, 32.96.0-32.f.2.3, $\ldots$ |
$[(9656, 939828)]$ |
18496.k1 |
18496j3 |
18496.k |
18496j |
$4$ |
$4$ |
\( 2^{6} \cdot 17^{2} \) |
\( 2^{18} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.100 |
2B |
$1088$ |
$1536$ |
$53$ |
$1$ |
$1$ |
|
$1$ |
$147456$ |
$2.079693$ |
$82483294977/17$ |
$1.03131$ |
$5.55828$ |
$[0, 0, 0, -1677356, 836153296]$ |
\(y^2=x^3-1677356x+836153296\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.2, 16.48.0-16.j.1.2, 32.96.0-32.f.2.4, $\ldots$ |
$[]$ |
18513.g1 |
18513q3 |
18513.g |
18513q |
$4$ |
$4$ |
\( 3^{2} \cdot 11^{2} \cdot 17 \) |
\( 3^{6} \cdot 11^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$35904$ |
$1536$ |
$53$ |
$1$ |
$4$ |
$2$ |
$0$ |
$46080$ |
$1.371618$ |
$82483294977/17$ |
$1.03131$ |
$4.69304$ |
$[1, -1, 1, -98759, -11920994]$ |
\(y^2+xy+y=x^3-x^2-98759x-11920994\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$ |
$[]$ |
20825.u1 |
20825o3 |
20825.u |
20825o |
$4$ |
$4$ |
\( 5^{2} \cdot 7^{2} \cdot 17 \) |
\( 5^{6} \cdot 7^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$38080$ |
$1536$ |
$53$ |
$5.701709753$ |
$1$ |
|
$0$ |
$36864$ |
$1.401037$ |
$82483294977/17$ |
$1.03131$ |
$4.67301$ |
$[1, -1, 0, -111092, 14279691]$ |
\(y^2+xy=x^3-x^2-111092x+14279691\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$ |
$[(2535/2, 110067/2)]$ |
23273.g1 |
23273b4 |
23273.g |
23273b |
$4$ |
$4$ |
\( 17 \cdot 37^{2} \) |
\( 17 \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$40256$ |
$1536$ |
$53$ |
$62.22010114$ |
$1$ |
|
$0$ |
$51840$ |
$1.428823$ |
$82483294977/17$ |
$1.03131$ |
$4.65451$ |
$[1, -1, 0, -124151, -16806336]$ |
\(y^2+xy=x^3-x^2-124151x-16806336\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$ |
$[(30768729812956253769681477493/6329579214084, 4581151871621658172690178315204634455209319/6329579214084)]$ |
25857.e1 |
25857i4 |
25857.e |
25857i |
$4$ |
$4$ |
\( 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 3^{6} \cdot 13^{6} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$42432$ |
$1536$ |
$53$ |
$2.401290110$ |
$1$ |
|
$12$ |
$73728$ |
$1.455145$ |
$82483294977/17$ |
$1.03131$ |
$4.63737$ |
$[1, -1, 1, -137936, 19752490]$ |
\(y^2+xy+y=x^3-x^2-137936x+19752490\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$ |
$[(244, 638), (895/2, 955/2)]$ |
27200.bi1 |
27200c4 |
27200.bi |
27200c |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( 2^{18} \cdot 5^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$5440$ |
$1536$ |
$53$ |
$7.432443451$ |
$1$ |
|
$1$ |
$65536$ |
$1.467804$ |
$82483294977/17$ |
$1.03131$ |
$4.62925$ |
$[0, 0, 0, -145100, -21274000]$ |
\(y^2=x^3-145100x-21274000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$ |
$[(14920/3, 1769300/3)]$ |
27200.bp1 |
27200br4 |
27200.bp |
27200br |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( 2^{18} \cdot 5^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$5440$ |
$1536$ |
$53$ |
$1$ |
$1$ |
|
$1$ |
$65536$ |
$1.467804$ |
$82483294977/17$ |
$1.03131$ |
$4.62925$ |
$[0, 0, 0, -145100, 21274000]$ |
\(y^2=x^3-145100x+21274000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$ |
$[]$ |
28577.a1 |
28577a4 |
28577.a |
28577a |
$4$ |
$4$ |
\( 17 \cdot 41^{2} \) |
\( 17 \cdot 41^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$44608$ |
$1536$ |
$53$ |
$13.92546258$ |
$1$ |
|
$0$ |
$69120$ |
$1.480150$ |
$82483294977/17$ |
$1.03131$ |
$4.62141$ |
$[1, -1, 1, -152446, -22871660]$ |
\(y^2+xy+y=x^3-x^2-152446x-22871660\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$ |
$[(45707561/16, 308649734979/16)]$ |
31433.b1 |
31433b4 |
31433.b |
31433b |
$4$ |
$4$ |
\( 17 \cdot 43^{2} \) |
\( 17 \cdot 43^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$46784$ |
$1536$ |
$53$ |
$6.498981354$ |
$1$ |
|
$0$ |
$80640$ |
$1.503963$ |
$82483294977/17$ |
$1.03131$ |
$4.60649$ |
$[1, -1, 0, -167681, 26470544]$ |
\(y^2+xy=x^3-x^2-167681x+26470544\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$ |
$[(21940/13, 5618874/13)]$ |
32912.i1 |
32912t4 |
32912.i |
32912t |
$4$ |
$4$ |
\( 2^{4} \cdot 11^{2} \cdot 17 \) |
\( 2^{12} \cdot 11^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$11968$ |
$1536$ |
$53$ |
$10.63655986$ |
$1$ |
|
$1$ |
$92160$ |
$1.515459$ |
$82483294977/17$ |
$1.03131$ |
$4.59939$ |
$[0, 0, 0, -175571, -28315694]$ |
\(y^2=x^3-175571x-28315694\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$ |
$[(903991/7, 859276902/7)]$ |
34969.l1 |
34969e4 |
34969.l |
34969e |
$4$ |
$4$ |
\( 11^{2} \cdot 17^{2} \) |
\( 11^{6} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$11968$ |
$1536$ |
$53$ |
$1$ |
$9$ |
$3$ |
$0$ |
$414720$ |
$2.238918$ |
$82483294977/17$ |
$1.03131$ |
$5.40254$ |
$[1, -1, 0, -3171251, 2174464760]$ |
\(y^2+xy=x^3-x^2-3171251x+2174464760\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$ |
$[]$ |
37553.c1 |
37553a4 |
37553.c |
37553a |
$4$ |
$4$ |
\( 17 \cdot 47^{2} \) |
\( 17 \cdot 47^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$51136$ |
$1536$ |
$53$ |
$5.885295743$ |
$1$ |
|
$0$ |
$105984$ |
$1.548437$ |
$82483294977/17$ |
$1.03131$ |
$4.57936$ |
$[1, -1, 1, -200329, 34561496]$ |
\(y^2+xy+y=x^3-x^2-200329x+34561496\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$ |
$[(110713/21, 785639/21)]$ |
41616.v1 |
41616cl4 |
41616.v |
41616cl |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 17^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$3264$ |
$1536$ |
$53$ |
$13.65757227$ |
$1$ |
|
$1$ |
$589824$ |
$2.282425$ |
$82483294977/17$ |
$1.03131$ |
$5.36323$ |
$[0, 0, 0, -3774051, -2822017374]$ |
\(y^2=x^3-3774051x-2822017374\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.2, 16.24.0.j.1, $\ldots$ |
$[(-37556969/183, 127804222/183)]$ |
45968.k1 |
45968p4 |
45968.k |
45968p |
$4$ |
$4$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( 2^{12} \cdot 13^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$14144$ |
$1536$ |
$53$ |
$2.561454242$ |
$1$ |
|
$3$ |
$147456$ |
$1.598986$ |
$82483294977/17$ |
$1.03131$ |
$4.54962$ |
$[0, 0, 0, -245219, 46738978]$ |
\(y^2=x^3-245219x+46738978\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$ |
$[(-351, 9464)]$ |
47753.i1 |
47753f4 |
47753.i |
47753f |
$4$ |
$4$ |
\( 17 \cdot 53^{2} \) |
\( 17 \cdot 53^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$57664$ |
$1536$ |
$53$ |
$1$ |
$16$ |
$2$ |
$0$ |
$149760$ |
$1.608509$ |
$82483294977/17$ |
$1.03131$ |
$4.54414$ |
$[1, -1, 0, -254741, -49423960]$ |
\(y^2+xy=x^3-x^2-254741x-49423960\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$ |
$[]$ |
48841.c1 |
48841a4 |
48841.c |
48841a |
$4$ |
$4$ |
\( 13^{2} \cdot 17^{2} \) |
\( 13^{6} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$14144$ |
$1536$ |
$53$ |
$3.644094030$ |
$4$ |
$2$ |
$2$ |
$663552$ |
$2.322445$ |
$82483294977/17$ |
$1.03131$ |
$5.32819$ |
$[1, -1, 0, -4429268, -3586839541]$ |
\(y^2+xy=x^3-x^2-4429268x-3586839541\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$ |
$[(7238, 582473)]$ |
51425.m1 |
51425u4 |
51425.m |
51425u |
$4$ |
$4$ |
\( 5^{2} \cdot 11^{2} \cdot 17 \) |
\( 5^{6} \cdot 11^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$59840$ |
$1536$ |
$53$ |
$5.356649565$ |
$1$ |
|
$0$ |
$184320$ |
$1.627031$ |
$82483294977/17$ |
$1.03131$ |
$4.53359$ |
$[1, -1, 1, -274330, 55372672]$ |
\(y^2+xy+y=x^3-x^2-274330x+55372672\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$ |
$[(4207/3, 139360/3)]$ |
53312.ba1 |
53312o4 |
53312.ba |
53312o |
$4$ |
$4$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( 2^{18} \cdot 7^{6} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$7616$ |
$1536$ |
$53$ |
$5.711203455$ |
$1$ |
|
$9$ |
$147456$ |
$1.636040$ |
$82483294977/17$ |
$1.03131$ |
$4.52851$ |
$[0, 0, 0, -284396, 58375856]$ |
\(y^2=x^3-284396x+58375856\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$ |
$[(310, 64), (1366, 47104)]$ |
53312.bb1 |
53312bt4 |
53312.bb |
53312bt |
$4$ |
$4$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( 2^{18} \cdot 7^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$7616$ |
$1536$ |
$53$ |
$9.647789985$ |
$1$ |
|
$1$ |
$147456$ |
$1.636040$ |
$82483294977/17$ |
$1.03131$ |
$4.52851$ |
$[0, 0, 0, -284396, -58375856]$ |
\(y^2=x^3-284396x-58375856\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$ |
$[(28204/3, 4662944/3)]$ |
55233.g1 |
55233g4 |
55233.g |
55233g |
$4$ |
$4$ |
\( 3^{2} \cdot 17 \cdot 19^{2} \) |
\( 3^{6} \cdot 17 \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$62016$ |
$1536$ |
$53$ |
$13.35234307$ |
$1$ |
|
$0$ |
$221184$ |
$1.644890$ |
$82483294977/17$ |
$1.03131$ |
$4.52356$ |
$[1, -1, 1, -294644, -61485650]$ |
\(y^2+xy+y=x^3-x^2-294644x-61485650\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$ |
$[(8167439/110, 8658459317/110)]$ |
59177.d1 |
59177b4 |
59177.d |
59177b |
$4$ |
$4$ |
\( 17 \cdot 59^{2} \) |
\( 17 \cdot 59^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$64192$ |
$1536$ |
$53$ |
$8.628537383$ |
$1$ |
|
$0$ |
$200448$ |
$1.662132$ |
$82483294977/17$ |
$1.03131$ |
$4.51400$ |
$[1, -1, 0, -315683, 68348184]$ |
\(y^2+xy=x^3-x^2-315683x+68348184\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$ |
$[(-166904/21, 108758432/21)]$ |
61200.gy1 |
61200fz4 |
61200.gy |
61200fz |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$16320$ |
$1536$ |
$53$ |
$1$ |
$4$ |
$2$ |
$1$ |
$262144$ |
$1.670536$ |
$82483294977/17$ |
$1.03131$ |
$4.50938$ |
$[0, 0, 0, -326475, -71799750]$ |
\(y^2=x^3-326475x-71799750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$ |
$[]$ |
63257.a1 |
63257a4 |
63257.a |
63257a |
$4$ |
$4$ |
\( 17 \cdot 61^{2} \) |
\( 17 \cdot 61^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$66368$ |
$1536$ |
$53$ |
$17.49255725$ |
$1$ |
|
$0$ |
$224640$ |
$1.678801$ |
$82483294977/17$ |
$1.03131$ |
$4.50486$ |
$[1, -1, 0, -337448, -75365541]$ |
\(y^2+xy=x^3-x^2-337448x-75365541\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$ |
$[(2403142381/156, 117616564626887/156)]$ |
65025.u1 |
65025bo4 |
65025.u |
65025bo |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( 3^{6} \cdot 5^{6} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$16320$ |
$1536$ |
$53$ |
$1$ |
$1$ |
|
$0$ |
$1179648$ |
$2.393997$ |
$82483294977/17$ |
$1.03131$ |
$5.26806$ |
$[1, -1, 1, -5896955, 5513226922]$ |
\(y^2+xy+y=x^3-x^2-5896955x+5513226922\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$ |
$[]$ |