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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
28900.d1 |
28900j1 |
28900.d |
28900j |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{9} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$5$ |
5.5.0.1 |
5S4 |
$20$ |
$10$ |
$0$ |
$0.709460169$ |
$1$ |
|
$4$ |
$30240$ |
$0.827125$ |
$-272$ |
$[0, -1, 0, -708, 19912]$ |
\(y^2=x^3-x^2-708x+19912\) |
5.5.0.a.1, 20.10.0.b.1 |
$[(42, 250)]$ |
28900.e1 |
28900l1 |
28900.e |
28900l |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{3} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$5$ |
5.5.0.1 |
5S4 |
$20$ |
$10$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$102816$ |
$1.439013$ |
$-272$ |
$[0, -1, 0, -8188, 776072]$ |
\(y^2=x^3-x^2-8188x+776072\) |
5.5.0.a.1, 20.10.0.b.1 |
$[]$ |
28900.i1 |
28900h1 |
28900.i |
28900h |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{3} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$5$ |
5.5.0.1 |
5S4 |
$20$ |
$10$ |
$0$ |
$1.290375076$ |
$1$ |
|
$2$ |
$6048$ |
$0.022406$ |
$-272$ |
$[0, 1, 0, -28, 148]$ |
\(y^2=x^3+x^2-28x+148\) |
5.5.0.a.1, 20.10.0.b.1 |
$[(3, 10)]$ |
28900.j1 |
28900k1 |
28900.j |
28900k |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{9} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$5$ |
5.5.0.1 |
5S4 |
$20$ |
$10$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$514080$ |
$2.243732$ |
$-272$ |
$[0, 1, 0, -204708, 96599588]$ |
\(y^2=x^3+x^2-204708x+96599588\) |
5.5.0.a.1, 20.10.0.b.1 |
$[]$ |
115600.bh1 |
115600df1 |
115600.bh |
115600df |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{9} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$5$ |
5.5.0.1 |
5S4 |
$20$ |
$10$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2056320$ |
$2.243732$ |
$-272$ |
$[0, -1, 0, -204708, -96599588]$ |
\(y^2=x^3-x^2-204708x-96599588\) |
5.5.0.a.1, 20.10.0.b.1 |
$[]$ |
115600.bk1 |
115600da1 |
115600.bk |
115600da |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{3} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$5$ |
5.5.0.1 |
5S4 |
$20$ |
$10$ |
$0$ |
$3.856874399$ |
$1$ |
|
$0$ |
$24192$ |
$0.022406$ |
$-272$ |
$[0, -1, 0, -28, -148]$ |
\(y^2=x^3-x^2-28x-148\) |
5.5.0.a.1, 20.10.0.b.1 |
$[(73/3, 260/3)]$ |
115600.bx1 |
115600de1 |
115600.bx |
115600de |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{3} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$5$ |
5.5.0.1 |
5S4 |
$20$ |
$10$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$411264$ |
$1.439013$ |
$-272$ |
$[0, 1, 0, -8188, -776072]$ |
\(y^2=x^3+x^2-8188x-776072\) |
5.5.0.a.1, 20.10.0.b.1 |
$[]$ |
115600.ca1 |
115600ct1 |
115600.ca |
115600ct |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{9} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$5$ |
5.5.0.1 |
5S4 |
$20$ |
$10$ |
$0$ |
$7.401043526$ |
$1$ |
|
$0$ |
$120960$ |
$0.827125$ |
$-272$ |
$[0, 1, 0, -708, -19912]$ |
\(y^2=x^3+x^2-708x-19912\) |
5.5.0.a.1, 20.10.0.b.1 |
$[(12487/17, 879250/17)]$ |
260100.m1 |
260100m1 |
260100.m |
260100m |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{9} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$5$ |
5.5.0.1 |
5S4 |
$20$ |
$10$ |
$0$ |
$6.296811368$ |
$1$ |
|
$0$ |
$15422400$ |
$2.793037$ |
$-272$ |
$[0, 0, 0, -1842375, -2610031250]$ |
\(y^2=x^3-1842375x-2610031250\) |
5.5.0.a.1, 20.10.0.b.1 |
$[(216750/7, 94430750/7)]$ |
260100.v1 |
260100v1 |
260100.v |
260100v |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{3} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$5$ |
5.5.0.1 |
5S4 |
$20$ |
$10$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$181440$ |
$0.571712$ |
$-272$ |
$[0, 0, 0, -255, -4250]$ |
\(y^2=x^3-255x-4250\) |
5.5.0.a.1, 20.10.0.b.1 |
$[]$ |
260100.dk1 |
260100dk1 |
260100.dk |
260100dk |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{3} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$5$ |
5.5.0.1 |
5S4 |
$20$ |
$10$ |
$0$ |
$11.17585729$ |
$1$ |
|
$0$ |
$3084480$ |
$1.988319$ |
$-272$ |
$[0, 0, 0, -73695, -20880250]$ |
\(y^2=x^3-73695x-20880250\) |
5.5.0.a.1, 20.10.0.b.1 |
$[(400495/3, 253447210/3)]$ |
260100.dt1 |
260100dt1 |
260100.dt |
260100dt |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{9} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$5$ |
5.5.0.1 |
5S4 |
$20$ |
$10$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$907200$ |
$1.376431$ |
$-272$ |
$[0, 0, 0, -6375, -531250]$ |
\(y^2=x^3-6375x-531250\) |
5.5.0.a.1, 20.10.0.b.1 |
$[]$ |
462400.cm1 |
462400cm1 |
462400.cm |
462400cm |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{14} \cdot 5^{9} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$5$ |
5.5.0.1 |
5S4 |
$20$ |
$10$ |
$0$ |
$3.488821699$ |
$1$ |
|
$2$ |
$16450560$ |
$2.590305$ |
$-272$ |
$[0, -1, 0, -818833, 773615537]$ |
\(y^2=x^3-x^2-818833x+773615537\) |
5.5.0.a.1, 20.10.0.b.1 |
$[(-83, 29000)]$ |
462400.cn1 |
462400cn1 |
462400.cn |
462400cn |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{14} \cdot 5^{9} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$5$ |
5.5.0.1 |
5S4 |
$20$ |
$10$ |
$0$ |
$2.218402524$ |
$1$ |
|
$2$ |
$967680$ |
$1.173698$ |
$-272$ |
$[0, -1, 0, -2833, -156463]$ |
\(y^2=x^3-x^2-2833x-156463\) |
5.5.0.a.1, 20.10.0.b.1 |
$[(167, 2000)]$ |
462400.cs1 |
462400cs1 |
462400.cs |
462400cs |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{14} \cdot 5^{3} \cdot 17^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$5$ |
5.5.0.1 |
5S4 |
$20$ |
$10$ |
$0$ |
$1.074142049$ |
$1$ |
|
$10$ |
$193536$ |
$0.368979$ |
$-272$ |
$[0, -1, 0, -113, 1297]$ |
\(y^2=x^3-x^2-113x+1297\) |
5.5.0.a.1, 20.10.0.b.1 |
$[(-3, 40), (-13, 20)]$ |
462400.ct1 |
462400ct1 |
462400.ct |
462400ct |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{14} \cdot 5^{3} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$5$ |
5.5.0.1 |
5S4 |
$20$ |
$10$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3290112$ |
$1.785585$ |
$-272$ |
$[0, -1, 0, -32753, -6175823]$ |
\(y^2=x^3-x^2-32753x-6175823\) |
5.5.0.a.1, 20.10.0.b.1 |
$[]$ |
462400.gt1 |
462400gt1 |
462400.gt |
462400gt |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{14} \cdot 5^{3} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$5$ |
5.5.0.1 |
5S4 |
$20$ |
$10$ |
$0$ |
$0.717363854$ |
$1$ |
|
$4$ |
$3290112$ |
$1.785585$ |
$-272$ |
$[0, 1, 0, -32753, 6175823]$ |
\(y^2=x^3+x^2-32753x+6175823\) |
5.5.0.a.1, 20.10.0.b.1 |
$[(-193, 2312)]$ |
462400.gu1 |
462400gu1 |
462400.gu |
462400gu |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{14} \cdot 5^{3} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$5$ |
5.5.0.1 |
5S4 |
$20$ |
$10$ |
$0$ |
$2.613556237$ |
$1$ |
|
$2$ |
$193536$ |
$0.368979$ |
$-272$ |
$[0, 1, 0, -113, -1297]$ |
\(y^2=x^3+x^2-113x-1297\) |
5.5.0.a.1, 20.10.0.b.1 |
$[(53, 380)]$ |
462400.gz1 |
462400gz1 |
462400.gz |
462400gz |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{14} \cdot 5^{9} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$5$ |
5.5.0.1 |
5S4 |
$20$ |
$10$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$967680$ |
$1.173698$ |
$-272$ |
$[0, 1, 0, -2833, 156463]$ |
\(y^2=x^3+x^2-2833x+156463\) |
5.5.0.a.1, 20.10.0.b.1 |
$[]$ |
462400.ha1 |
462400ha1 |
462400.ha |
462400ha |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{14} \cdot 5^{9} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$5$ |
5.5.0.1 |
5S4 |
$20$ |
$10$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$16450560$ |
$2.590305$ |
$-272$ |
$[0, 1, 0, -818833, -773615537]$ |
\(y^2=x^3+x^2-818833x-773615537\) |
5.5.0.a.1, 20.10.0.b.1 |
$[]$ |