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 |
1560.a3 |
1560i2 |
1560.a |
1560i |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$156$ |
$48$ |
$0$ |
$1.126370202$ |
$1$ |
|
$13$ |
$768$ |
$0.664943$ |
$133649126224/77000625$ |
$1.02472$ |
$4.23855$ |
$[0, -1, 0, -676, 676]$ |
\(y^2=x^3-x^2-676x+676\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.1, 52.24.0-52.b.1.2, 156.48.0.? |
$[(0, 26)]$ |
3120.r3 |
3120g2 |
3120.r |
3120g |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$156$ |
$48$ |
$0$ |
$1.236651560$ |
$1$ |
|
$11$ |
$1536$ |
$0.664943$ |
$133649126224/77000625$ |
$1.02472$ |
$3.87339$ |
$[0, 1, 0, -676, -676]$ |
\(y^2=x^3+x^2-676x-676\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.2, 52.24.0-52.b.1.1, 156.48.0.? |
$[(-13, 78)]$ |
4680.s3 |
4680i2 |
4680.s |
4680i |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{4} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$156$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$6144$ |
$1.214249$ |
$133649126224/77000625$ |
$1.02472$ |
$4.46753$ |
$[0, 0, 0, -6087, -12166]$ |
\(y^2=x^3-6087x-12166\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.1, 52.24.0-52.b.1.3, 156.48.0.? |
$[ ]$ |
7800.t3 |
7800d2 |
7800.t |
7800d |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{10} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$780$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$18432$ |
$1.469662$ |
$133649126224/77000625$ |
$1.02472$ |
$4.55488$ |
$[0, 1, 0, -16908, 50688]$ |
\(y^2=x^3+x^2-16908x+50688\) |
2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 52.12.0.b.1, 60.24.0-12.b.1.1, $\ldots$ |
$[ ]$ |
9360.bp3 |
9360s2 |
9360.bp |
9360s |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{4} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$156$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$12288$ |
$1.214249$ |
$133649126224/77000625$ |
$1.02472$ |
$4.12888$ |
$[0, 0, 0, -6087, 12166]$ |
\(y^2=x^3-6087x+12166\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.2, 52.24.0-52.b.1.3, 156.48.0.? |
$[ ]$ |
12480.bh3 |
12480bz2 |
12480.bh |
12480bz |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{14} \cdot 3^{6} \cdot 5^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$312$ |
$48$ |
$0$ |
$1.436949013$ |
$1$ |
|
$9$ |
$12288$ |
$1.011517$ |
$133649126224/77000625$ |
$1.02472$ |
$3.74502$ |
$[0, -1, 0, -2705, -2703]$ |
\(y^2=x^3-x^2-2705x-2703\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.b.1, 24.24.0-12.b.1.2, 52.12.0.b.1, $\ldots$ |
$[(79, 520)]$ |
12480.cu3 |
12480bf2 |
12480.cu |
12480bf |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{14} \cdot 3^{6} \cdot 5^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$312$ |
$48$ |
$0$ |
$0.668958822$ |
$1$ |
|
$15$ |
$12288$ |
$1.011517$ |
$133649126224/77000625$ |
$1.02472$ |
$3.74502$ |
$[0, 1, 0, -2705, 2703]$ |
\(y^2=x^3+x^2-2705x+2703\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.b.1, 24.24.0-12.b.1.1, 52.12.0.b.1, $\ldots$ |
$[(91, 720)]$ |
15600.o3 |
15600a2 |
15600.o |
15600a |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{10} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$780$ |
$48$ |
$0$ |
$4.492981711$ |
$1$ |
|
$7$ |
$36864$ |
$1.469662$ |
$133649126224/77000625$ |
$1.02472$ |
$4.22788$ |
$[0, -1, 0, -16908, -50688]$ |
\(y^2=x^3-x^2-16908x-50688\) |
2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 52.12.0.b.1, 60.24.0-12.b.1.2, $\ldots$ |
$[(-124, 352)]$ |
20280.o3 |
20280g2 |
20280.o |
20280g |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$156$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$129024$ |
$1.947416$ |
$133649126224/77000625$ |
$1.02472$ |
$4.69411$ |
$[0, -1, 0, -114300, 1028052]$ |
\(y^2=x^3-x^2-114300x+1028052\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.3, 52.24.0-52.b.1.2, 156.48.0.? |
$[ ]$ |
23400.v3 |
23400bf2 |
23400.v |
23400bf |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{10} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$780$ |
$48$ |
$0$ |
$2.438236893$ |
$1$ |
|
$9$ |
$147456$ |
$2.018967$ |
$133649126224/77000625$ |
$1.02472$ |
$4.71269$ |
$[0, 0, 0, -152175, -1520750]$ |
\(y^2=x^3-152175x-1520750\) |
2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 52.12.0.b.1, 60.24.0-12.b.1.1, $\ldots$ |
$[(-91, 3402)]$ |
37440.bj3 |
37440bc2 |
37440.bj |
37440bc |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{14} \cdot 3^{12} \cdot 5^{4} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$98304$ |
$1.560822$ |
$133649126224/77000625$ |
$1.02472$ |
$3.98027$ |
$[0, 0, 0, -24348, -97328]$ |
\(y^2=x^3-24348x-97328\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.b.1, 24.24.0-12.b.1.1, 52.12.0.b.1, $\ldots$ |
$[ ]$ |
37440.bk3 |
37440dq2 |
37440.bk |
37440dq |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{14} \cdot 3^{12} \cdot 5^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$312$ |
$48$ |
$0$ |
$3.292704465$ |
$1$ |
|
$7$ |
$98304$ |
$1.560822$ |
$133649126224/77000625$ |
$1.02472$ |
$3.98027$ |
$[0, 0, 0, -24348, 97328]$ |
\(y^2=x^3-24348x+97328\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.b.1, 24.24.0-12.b.1.2, 52.12.0.b.1, $\ldots$ |
$[(-8, 540)]$ |
40560.cq3 |
40560y2 |
40560.cq |
40560y |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$156$ |
$48$ |
$0$ |
$2.297632530$ |
$1$ |
|
$9$ |
$258048$ |
$1.947416$ |
$133649126224/77000625$ |
$1.02472$ |
$4.38746$ |
$[0, 1, 0, -114300, -1028052]$ |
\(y^2=x^3+x^2-114300x-1028052\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.3, 52.24.0-52.b.1.1, 156.48.0.? |
$[(498, 8112)]$ |
46800.cw3 |
46800l2 |
46800.cw |
46800l |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{10} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$780$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$294912$ |
$2.018967$ |
$133649126224/77000625$ |
$1.02472$ |
$4.40892$ |
$[0, 0, 0, -152175, 1520750]$ |
\(y^2=x^3-152175x+1520750\) |
2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 52.12.0.b.1, 60.24.0-12.b.1.2, $\ldots$ |
$[ ]$ |
60840.p3 |
60840bj2 |
60840.p |
60840bj |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{4} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.2 |
2Cs |
$156$ |
$48$ |
$0$ |
$4.501290334$ |
$1$ |
|
$7$ |
$1032192$ |
$2.496723$ |
$133649126224/77000625$ |
$1.02472$ |
$4.82435$ |
$[0, 0, 0, -1028703, -26728702]$ |
\(y^2=x^3-1028703x-26728702\) |
2.6.0.a.1, 4.12.0-2.a.1.2, 12.24.0-12.b.1.4, 52.24.0-52.b.1.4, 156.48.0.? |
$[(-998, 2430)]$ |
62400.cs3 |
62400u2 |
62400.cs |
62400u |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{14} \cdot 3^{6} \cdot 5^{10} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$294912$ |
$1.816235$ |
$133649126224/77000625$ |
$1.02472$ |
$4.07371$ |
$[0, -1, 0, -67633, 473137]$ |
\(y^2=x^3-x^2-67633x+473137\) |
2.6.0.a.1, 12.12.0.b.1, 40.12.0-2.a.1.1, 52.12.0.b.1, 120.24.0.?, $\ldots$ |
$[ ]$ |
62400.ft3 |
62400gv2 |
62400.ft |
62400gv |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{14} \cdot 3^{6} \cdot 5^{10} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$294912$ |
$1.816235$ |
$133649126224/77000625$ |
$1.02472$ |
$4.07371$ |
$[0, 1, 0, -67633, -473137]$ |
\(y^2=x^3+x^2-67633x-473137\) |
2.6.0.a.1, 12.12.0.b.1, 40.12.0-2.a.1.1, 52.12.0.b.1, 120.24.0.?, $\ldots$ |
$[ ]$ |
76440.cn3 |
76440cy2 |
76440.cn |
76440cy |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 7^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1092$ |
$48$ |
$0$ |
$0.483379309$ |
$1$ |
|
$19$ |
$294912$ |
$1.637897$ |
$133649126224/77000625$ |
$1.02472$ |
$3.80987$ |
$[0, 1, 0, -33140, -165600]$ |
\(y^2=x^3+x^2-33140x-165600\) |
2.6.0.a.1, 12.12.0.b.1, 28.12.0-2.a.1.1, 52.12.0.b.1, 84.24.0.?, $\ldots$ |
$[(-50, 1170)]$ |
101400.cu3 |
101400cu2 |
101400.cu |
101400cu |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{10} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$780$ |
$48$ |
$0$ |
$2.862912682$ |
$1$ |
|
$9$ |
$3096576$ |
$2.752136$ |
$133649126224/77000625$ |
$1.02472$ |
$4.87645$ |
$[0, 1, 0, -2857508, 122791488]$ |
\(y^2=x^3+x^2-2857508x+122791488\) |
2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 52.12.0.b.1, 60.24.0-12.b.1.3, $\ldots$ |
$[(1918, 41250)]$ |
121680.bk3 |
121680l2 |
121680.bk |
121680l |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{4} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.2 |
2Cs |
$156$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$2064384$ |
$2.496723$ |
$133649126224/77000625$ |
$1.02472$ |
$4.53876$ |
$[0, 0, 0, -1028703, 26728702]$ |
\(y^2=x^3-1028703x+26728702\) |
2.6.0.a.1, 4.12.0-2.a.1.2, 12.24.0-12.b.1.4, 52.24.0-52.b.1.4, 156.48.0.? |
$[ ]$ |
152880.dm3 |
152880ho2 |
152880.dm |
152880ho |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 7^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1092$ |
$48$ |
$0$ |
$2.338891888$ |
$1$ |
|
$7$ |
$589824$ |
$1.637897$ |
$133649126224/77000625$ |
$1.02472$ |
$3.58865$ |
$[0, -1, 0, -33140, 165600]$ |
\(y^2=x^3-x^2-33140x+165600\) |
2.6.0.a.1, 12.12.0.b.1, 28.12.0-2.a.1.1, 52.12.0.b.1, 84.24.0.?, $\ldots$ |
$[(-135, 1470)]$ |
162240.t3 |
162240dr2 |
162240.t |
162240dr |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{14} \cdot 3^{6} \cdot 5^{4} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$2064384$ |
$2.293991$ |
$133649126224/77000625$ |
$1.02472$ |
$4.22714$ |
$[0, -1, 0, -457201, -7767215]$ |
\(y^2=x^3-x^2-457201x-7767215\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.b.1, 24.24.0-12.b.1.3, 52.12.0.b.1, $\ldots$ |
$[ ]$ |
162240.fk3 |
162240gh2 |
162240.fk |
162240gh |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{14} \cdot 3^{6} \cdot 5^{4} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$2064384$ |
$2.293991$ |
$133649126224/77000625$ |
$1.02472$ |
$4.22714$ |
$[0, 1, 0, -457201, 7767215]$ |
\(y^2=x^3+x^2-457201x+7767215\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.b.1, 24.24.0-12.b.1.3, 52.12.0.b.1, $\ldots$ |
$[ ]$ |
187200.ig3 |
187200mh2 |
187200.ig |
187200mh |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{14} \cdot 3^{12} \cdot 5^{10} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$4.338612258$ |
$1$ |
|
$7$ |
$2359296$ |
$2.365540$ |
$133649126224/77000625$ |
$1.02472$ |
$4.24803$ |
$[0, 0, 0, -608700, -12166000]$ |
\(y^2=x^3-608700x-12166000\) |
2.6.0.a.1, 12.12.0.b.1, 40.12.0-2.a.1.1, 52.12.0.b.1, 120.24.0.?, $\ldots$ |
$[(1190, 30800)]$ |
187200.ih3 |
187200ek2 |
187200.ih |
187200ek |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{14} \cdot 3^{12} \cdot 5^{10} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$2359296$ |
$2.365540$ |
$133649126224/77000625$ |
$1.02472$ |
$4.24803$ |
$[0, 0, 0, -608700, 12166000]$ |
\(y^2=x^3-608700x+12166000\) |
2.6.0.a.1, 12.12.0.b.1, 40.12.0-2.a.1.1, 52.12.0.b.1, 120.24.0.?, $\ldots$ |
$[ ]$ |
188760.o3 |
188760cs2 |
188760.o |
188760cs |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 11^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1716$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1105920$ |
$1.863890$ |
$133649126224/77000625$ |
$1.02472$ |
$3.74960$ |
$[0, -1, 0, -81836, -572460]$ |
\(y^2=x^3-x^2-81836x-572460\) |
2.6.0.a.1, 12.12.0.b.1, 44.12.0-2.a.1.1, 52.12.0.b.1, 132.24.0.?, $\ldots$ |
$[ ]$ |
202800.db3 |
202800jw2 |
202800.db |
202800jw |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{10} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$780$ |
$48$ |
$0$ |
$13.53505449$ |
$1$ |
|
$3$ |
$6193152$ |
$2.752136$ |
$133649126224/77000625$ |
$1.02472$ |
$4.59984$ |
$[0, -1, 0, -2857508, -122791488]$ |
\(y^2=x^3-x^2-2857508x-122791488\) |
2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 52.12.0.b.1, 60.24.0-12.b.1.3, $\ldots$ |
$[(-245012/29, 638268136/29)]$ |
229320.bi3 |
229320dx2 |
229320.bi |
229320dx |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{4} \cdot 7^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1092$ |
$48$ |
$0$ |
$3.044074921$ |
$1$ |
|
$9$ |
$2359296$ |
$2.187202$ |
$133649126224/77000625$ |
$1.02472$ |
$4.00480$ |
$[0, 0, 0, -298263, 4172938]$ |
\(y^2=x^3-298263x+4172938\) |
2.6.0.a.1, 12.12.0.b.1, 28.12.0-2.a.1.1, 52.12.0.b.1, 84.24.0.?, $\ldots$ |
$[(-229, 7776)]$ |
304200.cw3 |
304200cw2 |
304200.cw |
304200cw |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{10} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$780$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$24772608$ |
$3.301441$ |
$133649126224/77000625$ |
$1.02472$ |
$4.97422$ |
$[0, 0, 0, -25717575, -3341087750]$ |
\(y^2=x^3-25717575x-3341087750\) |
2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.2, 52.12.0.b.1, 60.24.0-12.b.1.4, $\ldots$ |
$[ ]$ |
377520.ev3 |
377520ev2 |
377520.ev |
377520ev |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 11^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1716$ |
$48$ |
$0$ |
$2.738196611$ |
$1$ |
|
$9$ |
$2211840$ |
$1.863890$ |
$133649126224/77000625$ |
$1.02472$ |
$3.54721$ |
$[0, 1, 0, -81836, 572460]$ |
\(y^2=x^3+x^2-81836x+572460\) |
2.6.0.a.1, 12.12.0.b.1, 44.12.0-2.a.1.1, 52.12.0.b.1, 132.24.0.?, $\ldots$ |
$[(682, 16200)]$ |
382200.cs3 |
382200cs2 |
382200.cs |
382200cs |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{10} \cdot 7^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$5460$ |
$48$ |
$0$ |
$4.010813414$ |
$1$ |
|
$5$ |
$7077888$ |
$2.442616$ |
$133649126224/77000625$ |
$1.02472$ |
$4.08410$ |
$[0, -1, 0, -828508, -19042988]$ |
\(y^2=x^3-x^2-828508x-19042988\) |
2.6.0.a.1, 12.12.0.b.1, 52.12.0.b.1, 140.12.0.?, 156.24.0.?, $\ldots$ |
$[(2378, 107016)]$ |
450840.co3 |
450840co2 |
450840.co |
450840co |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 13^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2652$ |
$48$ |
$0$ |
$1.071728521$ |
$1$ |
|
$13$ |
$3538944$ |
$2.081551$ |
$133649126224/77000625$ |
$1.02472$ |
$3.69947$ |
$[0, 1, 0, -195460, 2148608]$ |
\(y^2=x^3+x^2-195460x+2148608\) |
2.6.0.a.1, 12.12.0.b.1, 52.12.0.b.1, 68.12.0-2.a.1.1, 156.24.0.?, $\ldots$ |
$[(-214, 5850)]$ |
458640.cq3 |
458640cq2 |
458640.cq |
458640cq |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{4} \cdot 7^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1092$ |
$48$ |
$0$ |
$3.800072145$ |
$1$ |
|
$7$ |
$4718592$ |
$2.187202$ |
$133649126224/77000625$ |
$1.02472$ |
$3.79186$ |
$[0, 0, 0, -298263, -4172938]$ |
\(y^2=x^3-298263x-4172938\) |
2.6.0.a.1, 12.12.0.b.1, 28.12.0-2.a.1.1, 52.12.0.b.1, 84.24.0.?, $\ldots$ |
$[(-314, 7650)]$ |
486720.mu3 |
486720mu2 |
486720.mu |
486720mu |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{14} \cdot 3^{12} \cdot 5^{4} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.2 |
2Cs |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$16515072$ |
$2.843296$ |
$133649126224/77000625$ |
$1.02472$ |
$4.37587$ |
$[0, 0, 0, -4114812, 213829616]$ |
\(y^2=x^3-4114812x+213829616\) |
2.6.0.a.1, 8.12.0-2.a.1.2, 12.12.0.b.1, 24.24.0-12.b.1.4, 52.12.0.b.1, $\ldots$ |
$[ ]$ |
486720.mx3 |
486720mx2 |
486720.mx |
486720mx |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{14} \cdot 3^{12} \cdot 5^{4} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.2 |
2Cs |
$312$ |
$48$ |
$0$ |
$5.628985828$ |
$1$ |
|
$5$ |
$16515072$ |
$2.843296$ |
$133649126224/77000625$ |
$1.02472$ |
$4.37587$ |
$[0, 0, 0, -4114812, -213829616]$ |
\(y^2=x^3-4114812x-213829616\) |
2.6.0.a.1, 8.12.0-2.a.1.2, 12.12.0.b.1, 24.24.0-12.b.1.4, 52.12.0.b.1, $\ldots$ |
$[(2838, 104720)]$ |