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 |
14586.e2 |
14586h4 |
14586.e |
14586h |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( - 2^{12} \cdot 3^{2} \cdot 11^{2} \cdot 13^{12} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$2244$ |
$96$ |
$1$ |
$2.796339106$ |
$1$ |
|
$0$ |
$912384$ |
$2.778641$ |
$-2830680648734534916567625/1766676274677722124288$ |
$1.00284$ |
$5.94861$ |
$[1, 0, 1, -2947061, -2807643904]$ |
\(y^2+xy+y=x^3-2947061x-2807643904\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 68.6.0.a.1, 132.48.0.?, $\ldots$ |
$[(32395/3, 4872674/3)]$ |
43758.n2 |
43758t4 |
43758.n |
43758t |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13 \cdot 17 \) |
\( - 2^{12} \cdot 3^{8} \cdot 11^{2} \cdot 13^{12} \cdot 17 \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$2244$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$7299072$ |
$3.327946$ |
$-2830680648734534916567625/1766676274677722124288$ |
$1.00284$ |
$5.95389$ |
$[1, -1, 1, -26523545, 75806385401]$ |
\(y^2+xy+y=x^3-x^2-26523545x+75806385401\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 68.6.0.a.1, 132.48.0.?, $\ldots$ |
$[]$ |
116688.h2 |
116688m4 |
116688.h |
116688m |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( - 2^{24} \cdot 3^{2} \cdot 11^{2} \cdot 13^{12} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2244$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$21897216$ |
$3.471786$ |
$-2830680648734534916567625/1766676274677722124288$ |
$1.00284$ |
$5.60131$ |
$[0, -1, 0, -47152968, 179689209840]$ |
\(y^2=x^3-x^2-47152968x+179689209840\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 68.6.0.a.1, $\ldots$ |
$[]$ |
160446.bo2 |
160446i4 |
160446.bo |
160446i |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 13 \cdot 17 \) |
\( - 2^{12} \cdot 3^{2} \cdot 11^{8} \cdot 13^{12} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2244$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$109486080$ |
$3.977589$ |
$-2830680648734534916567625/1766676274677722124288$ |
$1.00284$ |
$5.95889$ |
$[1, 0, 0, -356594323, 3736617441569]$ |
\(y^2+xy=x^3-356594323x+3736617441569\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 33.8.0-3.a.1.1, $\ldots$ |
$[]$ |
189618.br2 |
189618j4 |
189618.br |
189618j |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 13^{2} \cdot 17 \) |
\( - 2^{12} \cdot 3^{2} \cdot 11^{2} \cdot 13^{18} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$29172$ |
$96$ |
$1$ |
$1$ |
$9$ |
$3$ |
$0$ |
$153280512$ |
$4.061111$ |
$-2830680648734534916567625/1766676274677722124288$ |
$1.00284$ |
$5.95946$ |
$[1, 0, 0, -498053228, -6167895603312]$ |
\(y^2+xy=x^3-498053228x-6167895603312\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 39.8.0-3.a.1.2, 68.6.0.a.1, $\ldots$ |
$[]$ |
247962.f2 |
247962f4 |
247962.f |
247962f |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{12} \cdot 3^{2} \cdot 11^{2} \cdot 13^{12} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2244$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$262766592$ |
$4.195244$ |
$-2830680648734534916567625/1766676274677722124288$ |
$1.00284$ |
$5.96033$ |
$[1, 1, 0, -851700490, -13793102798636]$ |
\(y^2+xy=x^3+x^2-851700490x-13793102798636\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.4, 51.8.0-3.a.1.1, $\ldots$ |
$[]$ |
350064.br2 |
350064br4 |
350064.br |
350064br |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 13 \cdot 17 \) |
\( - 2^{24} \cdot 3^{8} \cdot 11^{2} \cdot 13^{12} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2244$ |
$96$ |
$1$ |
$13.31397625$ |
$1$ |
|
$1$ |
$175177728$ |
$4.021095$ |
$-2830680648734534916567625/1766676274677722124288$ |
$1.00284$ |
$5.63562$ |
$[0, 0, 0, -424376715, -4851184288966]$ |
\(y^2=x^3-424376715x-4851184288966\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 68.6.0.a.1, $\ldots$ |
$[(3095905/2, 5445343449/2)]$ |
364650.ey2 |
364650ey4 |
364650.ey |
364650ey |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 13 \cdot 17 \) |
\( - 2^{12} \cdot 3^{2} \cdot 5^{6} \cdot 11^{2} \cdot 13^{12} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$11220$ |
$96$ |
$1$ |
$11.97048451$ |
$1$ |
|
$0$ |
$131383296$ |
$3.583359$ |
$-2830680648734534916567625/1766676274677722124288$ |
$1.00284$ |
$5.20750$ |
$[1, 1, 1, -73676513, -350955487969]$ |
\(y^2+xy+y=x^3+x^2-73676513x-350955487969\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 30.24.0-6.a.1.1, $\ldots$ |
$[(16425975/31, 54546228592/31)]$ |
466752.ba2 |
466752ba4 |
466752.ba |
466752ba |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( - 2^{30} \cdot 3^{2} \cdot 11^{2} \cdot 13^{12} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4488$ |
$96$ |
$1$ |
$1$ |
$9$ |
$3$ |
$1$ |
$175177728$ |
$3.818359$ |
$-2830680648734534916567625/1766676274677722124288$ |
$1.00284$ |
$5.32505$ |
$[0, -1, 0, -188611873, -1437325066847]$ |
\(y^2=x^3-x^2-188611873x-1437325066847\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 68.6.0.a.1, $\ldots$ |
$[]$ |
466752.dt2 |
466752dt4 |
466752.dt |
466752dt |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 13 \cdot 17 \) |
\( - 2^{30} \cdot 3^{2} \cdot 11^{2} \cdot 13^{12} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4488$ |
$96$ |
$1$ |
$7.828662502$ |
$9$ |
$3$ |
$3$ |
$175177728$ |
$3.818359$ |
$-2830680648734534916567625/1766676274677722124288$ |
$1.00284$ |
$5.32505$ |
$[0, 1, 0, -188611873, 1437325066847]$ |
\(y^2=x^3+x^2-188611873x+1437325066847\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 68.6.0.a.1, $\ldots$ |
$[(7466, 667359)]$ |
481338.ba2 |
481338ba4 |
481338.ba |
481338ba |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \cdot 17 \) |
\( - 2^{12} \cdot 3^{8} \cdot 11^{8} \cdot 13^{12} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2244$ |
$96$ |
$1$ |
$1$ |
$9$ |
$3$ |
$0$ |
$875888640$ |
$4.526894$ |
$-2830680648734534916567625/1766676274677722124288$ |
$1.00284$ |
$5.96234$ |
$[1, -1, 0, -3209348907, -100888670922363]$ |
\(y^2+xy=x^3-x^2-3209348907x-100888670922363\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 33.8.0-3.a.1.2, $\ldots$ |
$[]$ |