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 |
1110.m1 |
1110m1 |
1110.m |
1110m |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 37 \) |
\( - 2^{9} \cdot 3^{7} \cdot 5^{2} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$888$ |
$2$ |
$0$ |
$0.019139737$ |
$1$ |
|
$22$ |
$1008$ |
$0.437708$ |
$-2454365649169/1035763200$ |
$[1, 0, 0, -281, 2361]$ |
\(y^2+xy=x^3-281x+2361\) |
888.2.0.? |
$[(16, 37)]$ |
3330.f1 |
3330j1 |
3330.f |
3330j |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{9} \cdot 3^{13} \cdot 5^{2} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$0.941396702$ |
$1$ |
|
$4$ |
$8064$ |
$0.987014$ |
$-2454365649169/1035763200$ |
$[1, -1, 0, -2529, -63747]$ |
\(y^2+xy=x^3-x^2-2529x-63747\) |
888.2.0.? |
$[(87, 564)]$ |
5550.k1 |
5550e1 |
5550.k |
5550e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{9} \cdot 3^{7} \cdot 5^{8} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24192$ |
$1.242426$ |
$-2454365649169/1035763200$ |
$[1, 1, 0, -7025, 295125]$ |
\(y^2+xy=x^3+x^2-7025x+295125\) |
888.2.0.? |
$[]$ |
8880.i1 |
8880m1 |
8880.i |
8880m |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 37 \) |
\( - 2^{21} \cdot 3^{7} \cdot 5^{2} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24192$ |
$1.130856$ |
$-2454365649169/1035763200$ |
$[0, -1, 0, -4496, -151104]$ |
\(y^2=x^3-x^2-4496x-151104\) |
888.2.0.? |
$[]$ |
16650.cv1 |
16650cf1 |
16650.cv |
16650cf |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 37 \) |
\( - 2^{9} \cdot 3^{13} \cdot 5^{8} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$193536$ |
$1.791733$ |
$-2454365649169/1035763200$ |
$[1, -1, 1, -63230, -8031603]$ |
\(y^2+xy+y=x^3-x^2-63230x-8031603\) |
888.2.0.? |
$[]$ |
26640.cc1 |
26640by1 |
26640.cc |
26640by |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{21} \cdot 3^{13} \cdot 5^{2} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$193536$ |
$1.680161$ |
$-2454365649169/1035763200$ |
$[0, 0, 0, -40467, 4120274]$ |
\(y^2=x^3-40467x+4120274\) |
888.2.0.? |
$[]$ |
35520.r1 |
35520t1 |
35520.r |
35520t |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 37 \) |
\( - 2^{27} \cdot 3^{7} \cdot 5^{2} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1.042492326$ |
$1$ |
|
$4$ |
$193536$ |
$1.477428$ |
$-2454365649169/1035763200$ |
$[0, -1, 0, -17985, 1226817]$ |
\(y^2=x^3-x^2-17985x+1226817\) |
888.2.0.? |
$[(209, 2560)]$ |
35520.df1 |
35520de1 |
35520.df |
35520de |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 37 \) |
\( - 2^{27} \cdot 3^{7} \cdot 5^{2} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$0.745864499$ |
$1$ |
|
$4$ |
$193536$ |
$1.477428$ |
$-2454365649169/1035763200$ |
$[0, 1, 0, -17985, -1226817]$ |
\(y^2=x^3+x^2-17985x-1226817\) |
888.2.0.? |
$[(303, 4608)]$ |
41070.l1 |
41070p1 |
41070.l |
41070p |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( - 2^{9} \cdot 3^{7} \cdot 5^{2} \cdot 37^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$0.307659718$ |
$1$ |
|
$6$ |
$1378944$ |
$2.243168$ |
$-2454365649169/1035763200$ |
$[1, 0, 1, -384718, 120745856]$ |
\(y^2+xy+y=x^3-384718x+120745856\) |
888.2.0.? |
$[(40, 10247)]$ |
44400.bv1 |
44400cx1 |
44400.bv |
44400cx |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{21} \cdot 3^{7} \cdot 5^{8} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$580608$ |
$1.935574$ |
$-2454365649169/1035763200$ |
$[0, 1, 0, -112408, -19112812]$ |
\(y^2=x^3+x^2-112408x-19112812\) |
888.2.0.? |
$[]$ |
54390.bv1 |
54390cd1 |
54390.bv |
54390cd |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( - 2^{9} \cdot 3^{7} \cdot 5^{2} \cdot 7^{6} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$235872$ |
$1.410664$ |
$-2454365649169/1035763200$ |
$[1, 1, 1, -13770, -823593]$ |
\(y^2+xy+y=x^3+x^2-13770x-823593\) |
888.2.0.? |
$[]$ |
106560.a1 |
106560cj1 |
106560.a |
106560cj |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{27} \cdot 3^{13} \cdot 5^{2} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$3.998831319$ |
$1$ |
|
$2$ |
$1548288$ |
$2.026733$ |
$-2454365649169/1035763200$ |
$[0, 0, 0, -161868, -32962192]$ |
\(y^2=x^3-161868x-32962192\) |
888.2.0.? |
$[(484, 1440)]$ |
106560.do1 |
106560fl1 |
106560.do |
106560fl |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 37 \) |
\( - 2^{27} \cdot 3^{13} \cdot 5^{2} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1548288$ |
$2.026733$ |
$-2454365649169/1035763200$ |
$[0, 0, 0, -161868, 32962192]$ |
\(y^2=x^3-161868x+32962192\) |
888.2.0.? |
$[]$ |
123210.bz1 |
123210cz1 |
123210.bz |
123210cz |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( - 2^{9} \cdot 3^{13} \cdot 5^{2} \cdot 37^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$0.576876709$ |
$1$ |
|
$4$ |
$11031552$ |
$2.792473$ |
$-2454365649169/1035763200$ |
$[1, -1, 1, -3462458, -3260138119]$ |
\(y^2+xy+y=x^3-x^2-3462458x-3260138119\) |
888.2.0.? |
$[(12201, 1324567)]$ |
133200.a1 |
133200bl1 |
133200.a |
133200bl |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 37 \) |
\( - 2^{21} \cdot 3^{13} \cdot 5^{8} \cdot 37 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1.632764914$ |
$1$ |
|
$14$ |
$4644864$ |
$2.484879$ |
$-2454365649169/1035763200$ |
$[0, 0, 0, -1011675, 515034250]$ |
\(y^2=x^3-1011675x+515034250\) |
888.2.0.? |
$[(1181, 31104), (-355, 28800)]$ |
134310.bc1 |
134310cd1 |
134310.bc |
134310cd |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 37 \) |
\( - 2^{9} \cdot 3^{7} \cdot 5^{2} \cdot 11^{6} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$3.459359210$ |
$1$ |
|
$2$ |
$1199520$ |
$1.636656$ |
$-2454365649169/1035763200$ |
$[1, 0, 1, -34004, -3176494]$ |
\(y^2+xy+y=x^3-34004x-3176494\) |
888.2.0.? |
$[(228, 853)]$ |
163170.bq1 |
163170ey1 |
163170.bq |
163170ey |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( - 2^{9} \cdot 3^{13} \cdot 5^{2} \cdot 7^{6} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$3.995111388$ |
$1$ |
|
$2$ |
$1886976$ |
$1.959969$ |
$-2454365649169/1035763200$ |
$[1, -1, 0, -123930, 22113076]$ |
\(y^2+xy=x^3-x^2-123930x+22113076\) |
888.2.0.? |
$[(263, 2636)]$ |
177600.a1 |
177600dc1 |
177600.a |
177600dc |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{27} \cdot 3^{7} \cdot 5^{8} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4644864$ |
$2.282146$ |
$-2454365649169/1035763200$ |
$[0, -1, 0, -449633, -152452863]$ |
\(y^2=x^3-x^2-449633x-152452863\) |
888.2.0.? |
$[]$ |
177600.jn1 |
177600gz1 |
177600.jn |
177600gz |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{27} \cdot 3^{7} \cdot 5^{8} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4644864$ |
$2.282146$ |
$-2454365649169/1035763200$ |
$[0, 1, 0, -449633, 152452863]$ |
\(y^2=x^3+x^2-449633x+152452863\) |
888.2.0.? |
$[]$ |
187590.bn1 |
187590bz1 |
187590.bn |
187590bz |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 37 \) |
\( - 2^{9} \cdot 3^{7} \cdot 5^{2} \cdot 13^{6} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2358720$ |
$1.720182$ |
$-2454365649169/1035763200$ |
$[1, 0, 1, -47493, 5234608]$ |
\(y^2+xy+y=x^3-47493x+5234608\) |
888.2.0.? |
$[]$ |
205350.di1 |
205350cd1 |
205350.di |
205350cd |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 37^{2} \) |
\( - 2^{9} \cdot 3^{7} \cdot 5^{8} \cdot 37^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$33094656$ |
$3.047886$ |
$-2454365649169/1035763200$ |
$[1, 1, 1, -9617938, 15093232031]$ |
\(y^2+xy+y=x^3+x^2-9617938x+15093232031\) |
888.2.0.? |
$[]$ |
271950.ci1 |
271950ci1 |
271950.ci |
271950ci |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( - 2^{9} \cdot 3^{7} \cdot 5^{8} \cdot 7^{6} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5660928$ |
$2.215382$ |
$-2454365649169/1035763200$ |
$[1, 0, 1, -344251, -102260602]$ |
\(y^2+xy+y=x^3-344251x-102260602\) |
888.2.0.? |
$[]$ |
320790.cf1 |
320790cf1 |
320790.cf |
320790cf |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 17^{2} \cdot 37 \) |
\( - 2^{9} \cdot 3^{7} \cdot 5^{2} \cdot 17^{6} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4822272$ |
$1.854315$ |
$-2454365649169/1035763200$ |
$[1, 1, 1, -81215, 11680805]$ |
\(y^2+xy+y=x^3+x^2-81215x+11680805\) |
888.2.0.? |
$[]$ |
328560.bm1 |
328560bm1 |
328560.bm |
328560bm |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( - 2^{21} \cdot 3^{7} \cdot 5^{2} \cdot 37^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$15.46625552$ |
$1$ |
|
$0$ |
$33094656$ |
$2.936314$ |
$-2454365649169/1035763200$ |
$[0, -1, 0, -6155480, -7727734800]$ |
\(y^2=x^3-x^2-6155480x-7727734800\) |
888.2.0.? |
$[(1418624290/681, 14323303192130/681)]$ |
400710.a1 |
400710a1 |
400710.a |
400710a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \cdot 37 \) |
\( - 2^{9} \cdot 3^{7} \cdot 5^{2} \cdot 19^{6} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$7.865995845$ |
$1$ |
|
$0$ |
$7094304$ |
$1.909927$ |
$-2454365649169/1035763200$ |
$[1, 1, 0, -101448, -16396992]$ |
\(y^2+xy=x^3+x^2-101448x-16396992\) |
888.2.0.? |
$[(5051/2, 340989/2)]$ |
402930.fe1 |
402930fe1 |
402930.fe |
402930fe |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 37 \) |
\( - 2^{9} \cdot 3^{13} \cdot 5^{2} \cdot 11^{6} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1.072148630$ |
$1$ |
|
$4$ |
$9596160$ |
$2.185963$ |
$-2454365649169/1035763200$ |
$[1, -1, 1, -306032, 85765331]$ |
\(y^2+xy+y=x^3-x^2-306032x+85765331\) |
888.2.0.? |
$[(261, 4729)]$ |
435120.iq1 |
435120iq1 |
435120.iq |
435120iq |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( - 2^{21} \cdot 3^{7} \cdot 5^{2} \cdot 7^{6} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$0.908519289$ |
$1$ |
|
$6$ |
$5660928$ |
$2.103809$ |
$-2454365649169/1035763200$ |
$[0, 1, 0, -220320, 52269300]$ |
\(y^2=x^3+x^2-220320x+52269300\) |
888.2.0.? |
$[(90, 5760)]$ |