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 |
264.b3 |
264c2 |
264.b |
264c |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \) |
\( 2^{8} \cdot 3^{2} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$132$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$48$ |
$-0.177253$ |
$37642192/1089$ |
$0.89513$ |
$4.12285$ |
$[0, 1, 0, -44, 96]$ |
\(y^2=x^3+x^2-44x+96\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.2, 44.24.0-44.b.1.1, 132.48.0.? |
$[]$ |
528.b3 |
528b2 |
528.b |
528b |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \) |
\( 2^{8} \cdot 3^{2} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$132$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$96$ |
$-0.177253$ |
$37642192/1089$ |
$0.89513$ |
$3.66701$ |
$[0, -1, 0, -44, -96]$ |
\(y^2=x^3-x^2-44x-96\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.1, 44.24.0-44.b.1.2, 132.48.0.? |
$[]$ |
792.f3 |
792e2 |
792.f |
792e |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{8} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$132$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$384$ |
$0.372053$ |
$37642192/1089$ |
$0.89513$ |
$4.43182$ |
$[0, 0, 0, -399, -2990]$ |
\(y^2=x^3-399x-2990\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.1, 44.24.0-44.b.1.3, 132.48.0.? |
$[]$ |
1584.n3 |
1584c2 |
1584.n |
1584c |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{8} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$132$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$768$ |
$0.372053$ |
$37642192/1089$ |
$0.89513$ |
$4.01488$ |
$[0, 0, 0, -399, 2990]$ |
\(y^2=x^3-399x+2990\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.2, 44.24.0-44.b.1.3, 132.48.0.? |
$[]$ |
2112.m3 |
2112g2 |
2112.m |
2112g |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( 2^{14} \cdot 3^{2} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$768$ |
$0.169321$ |
$37642192/1089$ |
$0.89513$ |
$3.54622$ |
$[0, -1, 0, -177, 945]$ |
\(y^2=x^3-x^2-177x+945\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.a.1, 24.24.0-12.a.1.1, 44.12.0.b.1, $\ldots$ |
$[]$ |
2112.y3 |
2112y2 |
2112.y |
2112y |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( 2^{14} \cdot 3^{2} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$264$ |
$48$ |
$0$ |
$2.708001862$ |
$1$ |
|
$7$ |
$768$ |
$0.169321$ |
$37642192/1089$ |
$0.89513$ |
$3.54622$ |
$[0, 1, 0, -177, -945]$ |
\(y^2=x^3+x^2-177x-945\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.a.1, 24.24.0-12.a.1.2, 44.12.0.b.1, $\ldots$ |
$[(18, 45)]$ |
2904.i3 |
2904n2 |
2904.i |
2904n |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$132$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$5760$ |
$1.021694$ |
$37642192/1089$ |
$0.89513$ |
$4.68735$ |
$[0, 1, 0, -5364, -149184]$ |
\(y^2=x^3+x^2-5364x-149184\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.3, 44.24.0-44.b.1.1, 132.48.0.? |
$[]$ |
5808.f3 |
5808f2 |
5808.f |
5808f |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$132$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$11520$ |
$1.021694$ |
$37642192/1089$ |
$0.89513$ |
$4.31248$ |
$[0, -1, 0, -5364, 149184]$ |
\(y^2=x^3-x^2-5364x+149184\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.3, 44.24.0-44.b.1.2, 132.48.0.? |
$[]$ |
6336.o3 |
6336ck2 |
6336.o |
6336ck |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( 2^{14} \cdot 3^{8} \cdot 11^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$264$ |
$48$ |
$0$ |
$1.773456009$ |
$1$ |
|
$29$ |
$6144$ |
$0.718627$ |
$37642192/1089$ |
$0.89513$ |
$3.85416$ |
$[0, 0, 0, -1596, 23920]$ |
\(y^2=x^3-1596x+23920\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.a.1, 24.24.0-12.a.1.1, 44.12.0.b.1, $\ldots$ |
$[(2, 144), (18, 32)]$ |
6336.v3 |
6336q2 |
6336.v |
6336q |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( 2^{14} \cdot 3^{8} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$6144$ |
$0.718627$ |
$37642192/1089$ |
$0.89513$ |
$3.85416$ |
$[0, 0, 0, -1596, -23920]$ |
\(y^2=x^3-1596x-23920\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.a.1, 24.24.0-12.a.1.2, 44.12.0.b.1, $\ldots$ |
$[]$ |
6600.a3 |
6600v2 |
6600.a |
6600v |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 11^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$660$ |
$48$ |
$0$ |
$0.776358557$ |
$1$ |
|
$41$ |
$6144$ |
$0.627466$ |
$37642192/1089$ |
$0.89513$ |
$3.71189$ |
$[0, -1, 0, -1108, 14212]$ |
\(y^2=x^3-x^2-1108x+14212\) |
2.6.0.a.1, 12.12.0.a.1, 20.12.0-2.a.1.1, 44.12.0.b.1, 60.24.0-12.a.1.2, $\ldots$ |
$[(28, 66), (6, 88)]$ |
8712.r3 |
8712j2 |
8712.r |
8712j |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.2 |
2Cs |
$132$ |
$48$ |
$0$ |
$4.018542780$ |
$1$ |
|
$5$ |
$46080$ |
$1.571001$ |
$37642192/1089$ |
$0.89513$ |
$4.84630$ |
$[0, 0, 0, -48279, 3979690]$ |
\(y^2=x^3-48279x+3979690\) |
2.6.0.a.1, 4.12.0-2.a.1.2, 12.24.0-12.a.1.4, 44.24.0-44.b.1.4, 132.48.0.? |
$[(335, 5040)]$ |
12936.l3 |
12936c2 |
12936.l |
12936c |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{2} \cdot 7^{6} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$924$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$13824$ |
$0.795702$ |
$37642192/1089$ |
$0.89513$ |
$3.66129$ |
$[0, -1, 0, -2172, -37260]$ |
\(y^2=x^3-x^2-2172x-37260\) |
2.6.0.a.1, 12.12.0.a.1, 28.12.0-2.a.1.1, 44.12.0.b.1, 84.24.0.?, $\ldots$ |
$[]$ |
13200.cu3 |
13200bb2 |
13200.cu |
13200bb |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$660$ |
$48$ |
$0$ |
$3.849231529$ |
$1$ |
|
$5$ |
$12288$ |
$0.627466$ |
$37642192/1089$ |
$0.89513$ |
$3.44072$ |
$[0, 1, 0, -1108, -14212]$ |
\(y^2=x^3+x^2-1108x-14212\) |
2.6.0.a.1, 12.12.0.a.1, 20.12.0-2.a.1.1, 44.12.0.b.1, 60.24.0-12.a.1.1, $\ldots$ |
$[(2678, 138600)]$ |
17424.bx3 |
17424u2 |
17424.bx |
17424u |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.2 |
2Cs |
$132$ |
$48$ |
$0$ |
$9.912776817$ |
$1$ |
|
$3$ |
$92160$ |
$1.571001$ |
$37642192/1089$ |
$0.89513$ |
$4.50232$ |
$[0, 0, 0, -48279, -3979690]$ |
\(y^2=x^3-48279x-3979690\) |
2.6.0.a.1, 4.12.0-2.a.1.2, 12.24.0-12.a.1.4, 44.24.0-44.b.1.4, 132.48.0.? |
$[(143053/23, 20139840/23)]$ |
19800.e3 |
19800n2 |
19800.e |
19800n |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{6} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$660$ |
$48$ |
$0$ |
$2.047081640$ |
$1$ |
|
$9$ |
$49152$ |
$1.176773$ |
$37642192/1089$ |
$0.89513$ |
$3.96597$ |
$[0, 0, 0, -9975, -373750]$ |
\(y^2=x^3-9975x-373750\) |
2.6.0.a.1, 12.12.0.a.1, 20.12.0-2.a.1.1, 44.12.0.b.1, 60.24.0-12.a.1.1, $\ldots$ |
$[(-61, 88)]$ |
23232.bk3 |
23232q2 |
23232.bk |
23232q |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11^{2} \) |
\( 2^{14} \cdot 3^{2} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$92160$ |
$1.368269$ |
$37642192/1089$ |
$0.89513$ |
$4.13149$ |
$[0, -1, 0, -21457, -1172015]$ |
\(y^2=x^3-x^2-21457x-1172015\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.a.1, 24.24.0-12.a.1.3, 44.12.0.b.1, $\ldots$ |
$[]$ |
23232.dr3 |
23232dq2 |
23232.dr |
23232dq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11^{2} \) |
\( 2^{14} \cdot 3^{2} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$264$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$92160$ |
$1.368269$ |
$37642192/1089$ |
$0.89513$ |
$4.13149$ |
$[0, 1, 0, -21457, 1172015]$ |
\(y^2=x^3+x^2-21457x+1172015\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.a.1, 24.24.0-12.a.1.3, 44.12.0.b.1, $\ldots$ |
$[]$ |
25872.cr3 |
25872x2 |
25872.cr |
25872x |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{2} \cdot 7^{6} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$924$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$27648$ |
$0.795702$ |
$37642192/1089$ |
$0.89513$ |
$3.41153$ |
$[0, 1, 0, -2172, 37260]$ |
\(y^2=x^3+x^2-2172x+37260\) |
2.6.0.a.1, 12.12.0.a.1, 28.12.0-2.a.1.1, 44.12.0.b.1, 84.24.0.?, $\ldots$ |
$[]$ |
38808.p3 |
38808cn2 |
38808.p |
38808cn |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{8} \cdot 7^{6} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$924$ |
$48$ |
$0$ |
$0.916847791$ |
$1$ |
|
$15$ |
$110592$ |
$1.345009$ |
$37642192/1089$ |
$0.89513$ |
$3.90445$ |
$[0, 0, 0, -19551, 1025570]$ |
\(y^2=x^3-19551x+1025570\) |
2.6.0.a.1, 12.12.0.a.1, 28.12.0-2.a.1.1, 44.12.0.b.1, 84.24.0.?, $\ldots$ |
$[(37, 594)]$ |
39600.et3 |
39600t2 |
39600.et |
39600t |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{6} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$660$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$98304$ |
$1.176773$ |
$37642192/1089$ |
$0.89513$ |
$3.70631$ |
$[0, 0, 0, -9975, 373750]$ |
\(y^2=x^3-9975x+373750\) |
2.6.0.a.1, 12.12.0.a.1, 20.12.0-2.a.1.1, 44.12.0.b.1, 60.24.0-12.a.1.2, $\ldots$ |
$[]$ |
44616.t3 |
44616u2 |
44616.t |
44616u |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 11^{2} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1716$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$92160$ |
$1.105223$ |
$37642192/1089$ |
$0.89513$ |
$3.58482$ |
$[0, 1, 0, -7492, 240800]$ |
\(y^2=x^3+x^2-7492x+240800\) |
2.6.0.a.1, 12.12.0.a.1, 44.12.0.b.1, 52.12.0-2.a.1.1, 132.24.0.?, $\ldots$ |
$[]$ |
52800.du3 |
52800eo2 |
52800.du |
52800eo |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{6} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$98304$ |
$0.974040$ |
$37642192/1089$ |
$0.89513$ |
$3.38453$ |
$[0, -1, 0, -4433, -109263]$ |
\(y^2=x^3-x^2-4433x-109263\) |
2.6.0.a.1, 12.12.0.a.1, 40.12.0-2.a.1.1, 44.12.0.b.1, 120.24.0.?, $\ldots$ |
$[]$ |
52800.ed3 |
52800di2 |
52800.ed |
52800di |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{6} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1320$ |
$48$ |
$0$ |
$1.824222706$ |
$1$ |
|
$9$ |
$98304$ |
$0.974040$ |
$37642192/1089$ |
$0.89513$ |
$3.38453$ |
$[0, 1, 0, -4433, 109263]$ |
\(y^2=x^3+x^2-4433x+109263\) |
2.6.0.a.1, 12.12.0.a.1, 40.12.0-2.a.1.1, 44.12.0.b.1, 120.24.0.?, $\ldots$ |
$[(58, 225)]$ |
69696.bf3 |
69696cx2 |
69696.bf |
69696cx |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{14} \cdot 3^{8} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.2 |
2Cs |
$264$ |
$48$ |
$0$ |
$2.856547036$ |
$1$ |
|
$7$ |
$737280$ |
$1.917574$ |
$37642192/1089$ |
$0.89513$ |
$4.31557$ |
$[0, 0, 0, -193116, 31837520]$ |
\(y^2=x^3-193116x+31837520\) |
2.6.0.a.1, 8.12.0-2.a.1.2, 12.12.0.a.1, 24.24.0-12.a.1.4, 44.12.0.b.1, $\ldots$ |
$[(44, 4840)]$ |
69696.cd3 |
69696gq2 |
69696.cd |
69696gq |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{14} \cdot 3^{8} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.2 |
2Cs |
$264$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$737280$ |
$1.917574$ |
$37642192/1089$ |
$0.89513$ |
$4.31557$ |
$[0, 0, 0, -193116, -31837520]$ |
\(y^2=x^3-193116x-31837520\) |
2.6.0.a.1, 8.12.0-2.a.1.2, 12.12.0.a.1, 24.24.0-12.a.1.4, 44.12.0.b.1, $\ldots$ |
$[]$ |
72600.ce3 |
72600n2 |
72600.ce |
72600n |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$660$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$737280$ |
$1.826414$ |
$37642192/1089$ |
$0.89513$ |
$4.20209$ |
$[0, -1, 0, -134108, -18379788]$ |
\(y^2=x^3-x^2-134108x-18379788\) |
2.6.0.a.1, 12.12.0.a.1, 20.12.0-2.a.1.1, 44.12.0.b.1, 60.24.0-12.a.1.3, $\ldots$ |
$[]$ |
76296.k3 |
76296b2 |
76296.k |
76296b |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 11^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2244$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$221184$ |
$1.239353$ |
$37642192/1089$ |
$0.89513$ |
$3.55691$ |
$[0, -1, 0, -12812, 548340]$ |
\(y^2=x^3-x^2-12812x+548340\) |
2.6.0.a.1, 12.12.0.a.1, 44.12.0.b.1, 68.12.0-2.a.1.1, 132.24.0.?, $\ldots$ |
$[]$ |
77616.bg3 |
77616bu2 |
77616.bg |
77616bu |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{8} \cdot 7^{6} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$924$ |
$48$ |
$0$ |
$2.620758404$ |
$1$ |
|
$7$ |
$221184$ |
$1.345009$ |
$37642192/1089$ |
$0.89513$ |
$3.66409$ |
$[0, 0, 0, -19551, -1025570]$ |
\(y^2=x^3-19551x-1025570\) |
2.6.0.a.1, 12.12.0.a.1, 28.12.0-2.a.1.1, 44.12.0.b.1, 84.24.0.?, $\ldots$ |
$[(-82, 162)]$ |
89232.bc3 |
89232b2 |
89232.bc |
89232b |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 11^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1716$ |
$48$ |
$0$ |
$7.675949350$ |
$1$ |
|
$3$ |
$184320$ |
$1.105223$ |
$37642192/1089$ |
$0.89513$ |
$3.36683$ |
$[0, -1, 0, -7492, -240800]$ |
\(y^2=x^3-x^2-7492x-240800\) |
2.6.0.a.1, 12.12.0.a.1, 44.12.0.b.1, 52.12.0-2.a.1.1, 132.24.0.?, $\ldots$ |
$[(24025/9, 3537170/9)]$ |
95304.d3 |
95304n2 |
95304.d |
95304n |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 11^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2508$ |
$48$ |
$0$ |
$3.035403325$ |
$1$ |
|
$7$ |
$290304$ |
$1.294966$ |
$37642192/1089$ |
$0.89513$ |
$3.54610$ |
$[0, -1, 0, -16004, -754236]$ |
\(y^2=x^3-x^2-16004x-754236\) |
2.6.0.a.1, 12.12.0.a.1, 44.12.0.b.1, 76.12.0.?, 132.24.0.?, $\ldots$ |
$[(212, 2310)]$ |
103488.z3 |
103488fn2 |
103488.z |
103488fn |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{14} \cdot 3^{2} \cdot 7^{6} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1848$ |
$48$ |
$0$ |
$1.496210978$ |
$1$ |
|
$11$ |
$221184$ |
$1.142275$ |
$37642192/1089$ |
$0.89513$ |
$3.36212$ |
$[0, -1, 0, -8689, 306769]$ |
\(y^2=x^3-x^2-8689x+306769\) |
2.6.0.a.1, 12.12.0.a.1, 44.12.0.b.1, 56.12.0-2.a.1.1, 132.24.0.?, $\ldots$ |
$[(69, 176)]$ |
103488.fw3 |
103488ee2 |
103488.fw |
103488ee |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{14} \cdot 3^{2} \cdot 7^{6} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$221184$ |
$1.142275$ |
$37642192/1089$ |
$0.89513$ |
$3.36212$ |
$[0, 1, 0, -8689, -306769]$ |
\(y^2=x^3+x^2-8689x-306769\) |
2.6.0.a.1, 12.12.0.a.1, 44.12.0.b.1, 56.12.0-2.a.1.1, 132.24.0.?, $\ldots$ |
$[]$ |
133848.g3 |
133848z2 |
133848.g |
133848z |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 11^{2} \cdot 13^{6} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1716$ |
$48$ |
$0$ |
$7.936088876$ |
$1$ |
|
$17$ |
$737280$ |
$1.654528$ |
$37642192/1089$ |
$0.89513$ |
$3.80959$ |
$[0, 0, 0, -67431, -6569030]$ |
\(y^2=x^3-67431x-6569030\) |
2.6.0.a.1, 12.12.0.a.1, 44.12.0.b.1, 52.12.0-2.a.1.1, 132.24.0.?, $\ldots$ |
$[(338, 3042), (507, 9464)]$ |
139656.bb3 |
139656u2 |
139656.bb |
139656u |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 11^{2} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3036$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$608256$ |
$1.390493$ |
$37642192/1089$ |
$0.89513$ |
$3.52849$ |
$[0, 1, 0, -23452, -1355200]$ |
\(y^2=x^3+x^2-23452x-1355200\) |
2.6.0.a.1, 12.12.0.a.1, 44.12.0.b.1, 92.12.0.?, 132.24.0.?, $\ldots$ |
$[]$ |
142296.br3 |
142296bo2 |
142296.br |
142296bo |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 7^{6} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$924$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1658880$ |
$1.994650$ |
$37642192/1089$ |
$0.89513$ |
$4.13391$ |
$[0, -1, 0, -262852, 50644420]$ |
\(y^2=x^3-x^2-262852x+50644420\) |
2.6.0.a.1, 12.12.0.a.1, 28.12.0-2.a.1.1, 44.12.0.b.1, 84.24.0.?, $\ldots$ |
$[]$ |
145200.gf3 |
145200ho2 |
145200.gf |
145200ho |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$660$ |
$48$ |
$0$ |
$5.035879917$ |
$1$ |
|
$5$ |
$1474560$ |
$1.826414$ |
$37642192/1089$ |
$0.89513$ |
$3.95704$ |
$[0, 1, 0, -134108, 18379788]$ |
\(y^2=x^3+x^2-134108x+18379788\) |
2.6.0.a.1, 12.12.0.a.1, 20.12.0-2.a.1.1, 44.12.0.b.1, 60.24.0-12.a.1.3, $\ldots$ |
$[(957/2, 1725/2)]$ |
152592.df3 |
152592da2 |
152592.df |
152592da |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 11^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2244$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$3$ |
$442368$ |
$1.239353$ |
$37642192/1089$ |
$0.89513$ |
$3.35034$ |
$[0, 1, 0, -12812, -548340]$ |
\(y^2=x^3+x^2-12812x-548340\) |
2.6.0.a.1, 12.12.0.a.1, 44.12.0.b.1, 68.12.0-2.a.1.1, 132.24.0.?, $\ldots$ |
$[]$ |
158400.y3 |
158400kh2 |
158400.y |
158400kh |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{14} \cdot 3^{8} \cdot 5^{6} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$786432$ |
$1.523346$ |
$37642192/1089$ |
$0.89513$ |
$3.62452$ |
$[0, 0, 0, -39900, -2990000]$ |
\(y^2=x^3-39900x-2990000\) |
2.6.0.a.1, 12.12.0.a.1, 40.12.0-2.a.1.1, 44.12.0.b.1, 120.24.0.?, $\ldots$ |
$[]$ |
158400.ow3 |
158400fs2 |
158400.ow |
158400fs |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{14} \cdot 3^{8} \cdot 5^{6} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$786432$ |
$1.523346$ |
$37642192/1089$ |
$0.89513$ |
$3.62452$ |
$[0, 0, 0, -39900, 2990000]$ |
\(y^2=x^3-39900x+2990000\) |
2.6.0.a.1, 12.12.0.a.1, 40.12.0-2.a.1.1, 44.12.0.b.1, 120.24.0.?, $\ldots$ |
$[]$ |
190608.bv3 |
190608cl2 |
190608.bv |
190608cl |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 11^{2} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2508$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$580608$ |
$1.294966$ |
$37642192/1089$ |
$0.89513$ |
$3.34393$ |
$[0, 1, 0, -16004, 754236]$ |
\(y^2=x^3+x^2-16004x+754236\) |
2.6.0.a.1, 12.12.0.a.1, 44.12.0.b.1, 76.12.0.?, 132.24.0.?, $\ldots$ |
$[]$ |
217800.gz3 |
217800ct2 |
217800.gz |
217800ct |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{6} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$660$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$5898240$ |
$2.375721$ |
$37642192/1089$ |
$0.89513$ |
$4.36279$ |
$[0, 0, 0, -1206975, 497461250]$ |
\(y^2=x^3-1206975x+497461250\) |
2.6.0.a.1, 12.12.0.a.1, 20.12.0-2.a.1.2, 44.12.0.b.1, 60.24.0-12.a.1.4, $\ldots$ |
$[]$ |
222024.b3 |
222024i2 |
222024.b |
222024i |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 11^{2} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3828$ |
$48$ |
$0$ |
$3.393412967$ |
$1$ |
|
$5$ |
$1161216$ |
$1.506395$ |
$37642192/1089$ |
$0.89513$ |
$3.50859$ |
$[0, -1, 0, -37284, 2713284]$ |
\(y^2=x^3-x^2-37284x+2713284\) |
2.6.0.a.1, 12.12.0.a.1, 44.12.0.b.1, 116.12.0.?, 132.24.0.?, $\ldots$ |
$[(72, 630)]$ |
228888.k3 |
228888d2 |
228888.k |
228888d |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 11^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2244$ |
$48$ |
$0$ |
$1.445945792$ |
$1$ |
|
$13$ |
$1769472$ |
$1.788660$ |
$37642192/1089$ |
$0.89513$ |
$3.77440$ |
$[0, 0, 0, -115311, -14689870]$ |
\(y^2=x^3-115311x-14689870\) |
2.6.0.a.1, 12.12.0.a.1, 44.12.0.b.1, 68.12.0-2.a.1.1, 132.24.0.?, $\ldots$ |
$[(-203, 594)]$ |
253704.e3 |
253704e2 |
253704.e |
253704e |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 31^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 11^{2} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$4092$ |
$48$ |
$0$ |
$5.965434391$ |
$1$ |
|
$3$ |
$1474560$ |
$1.539742$ |
$37642192/1089$ |
$0.89513$ |
$3.50313$ |
$[0, -1, 0, -42604, -3284876]$ |
\(y^2=x^3-x^2-42604x-3284876\) |
2.6.0.a.1, 12.12.0.a.1, 44.12.0.b.1, 124.12.0.?, 132.24.0.?, $\ldots$ |
$[(23098/3, 3498040/3)]$ |
267696.bp3 |
267696bp2 |
267696.bp |
267696bp |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 11^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1716$ |
$48$ |
$0$ |
$3.242263256$ |
$1$ |
|
$7$ |
$1474560$ |
$1.654528$ |
$37642192/1089$ |
$0.89513$ |
$3.59830$ |
$[0, 0, 0, -67431, 6569030]$ |
\(y^2=x^3-67431x+6569030\) |
2.6.0.a.1, 12.12.0.a.1, 44.12.0.b.1, 52.12.0-2.a.1.1, 132.24.0.?, $\ldots$ |
$[(338, 4732)]$ |
279312.bp3 |
279312bp2 |
279312.bp |
279312bp |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 11^{2} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3036$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1216512$ |
$1.390493$ |
$37642192/1089$ |
$0.89513$ |
$3.33345$ |
$[0, -1, 0, -23452, 1355200]$ |
\(y^2=x^3-x^2-23452x+1355200\) |
2.6.0.a.1, 12.12.0.a.1, 44.12.0.b.1, 92.12.0.?, 132.24.0.?, $\ldots$ |
$[]$ |
284592.ka3 |
284592ka2 |
284592.ka |
284592ka |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 7^{6} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$924$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$3$ |
$3317760$ |
$1.994650$ |
$37642192/1089$ |
$0.89513$ |
$3.90576$ |
$[0, 1, 0, -262852, -50644420]$ |
\(y^2=x^3+x^2-262852x-50644420\) |
2.6.0.a.1, 12.12.0.a.1, 28.12.0-2.a.1.1, 44.12.0.b.1, 84.24.0.?, $\ldots$ |
$[]$ |
285912.bi3 |
285912bi2 |
285912.bi |
285912bi |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 11^{2} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2508$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$2322432$ |
$1.844273$ |
$37642192/1089$ |
$0.89513$ |
$3.76068$ |
$[0, 0, 0, -144039, 20508410]$ |
\(y^2=x^3-144039x+20508410\) |
2.6.0.a.1, 12.12.0.a.1, 44.12.0.b.1, 76.12.0.?, 132.24.0.?, $\ldots$ |
$[]$ |
310464.ob3 |
310464ob2 |
310464.ob |
310464ob |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{14} \cdot 3^{8} \cdot 7^{6} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1848$ |
$48$ |
$0$ |
$2.688461521$ |
$1$ |
|
$9$ |
$1769472$ |
$1.691582$ |
$37642192/1089$ |
$0.89513$ |
$3.59129$ |
$[0, 0, 0, -78204, 8204560]$ |
\(y^2=x^3-78204x+8204560\) |
2.6.0.a.1, 12.12.0.a.1, 44.12.0.b.1, 56.12.0-2.a.1.1, 132.24.0.?, $\ldots$ |
$[(128, 540)]$ |