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 |
1428.b1 |
1428c1 |
1428.b |
1428c |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 7 \cdot 17 \) |
\( - 2^{8} \cdot 3^{3} \cdot 7^{2} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$0.259509482$ |
$1$ |
|
$6$ |
$288$ |
$-0.016781$ |
$17997824/22491$ |
$0.86007$ |
$3.08353$ |
$[0, -1, 0, 35, 73]$ |
\(y^2=x^3-x^2+35x+73\) |
102.2.0.? |
$[(3, 14)]$ |
4284.e1 |
4284h1 |
4284.e |
4284h |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( - 2^{8} \cdot 3^{9} \cdot 7^{2} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1.185943385$ |
$1$ |
|
$2$ |
$2304$ |
$0.532525$ |
$17997824/22491$ |
$0.86007$ |
$3.46667$ |
$[0, 0, 0, 312, -2284]$ |
\(y^2=x^3+312x-2284\) |
102.2.0.? |
$[(13, 63)]$ |
5712.t1 |
5712p1 |
5712.t |
5712p |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 17 \) |
\( - 2^{8} \cdot 3^{3} \cdot 7^{2} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$0.306932915$ |
$1$ |
|
$4$ |
$1152$ |
$-0.016781$ |
$17997824/22491$ |
$0.86007$ |
$2.58936$ |
$[0, 1, 0, 35, -73]$ |
\(y^2=x^3+x^2+35x-73\) |
102.2.0.? |
$[(11, 42)]$ |
9996.m1 |
9996m1 |
9996.m |
9996m |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{3} \cdot 7^{8} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$0.594784596$ |
$1$ |
|
$6$ |
$13824$ |
$0.956174$ |
$17997824/22491$ |
$0.86007$ |
$3.69973$ |
$[0, 1, 0, 1699, -28449]$ |
\(y^2=x^3+x^2+1699x-28449\) |
102.2.0.? |
$[(37, 294)]$ |
17136.p1 |
17136bc1 |
17136.p |
17136bc |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( - 2^{8} \cdot 3^{9} \cdot 7^{2} \cdot 17 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$0.441600634$ |
$1$ |
|
$16$ |
$9216$ |
$0.532525$ |
$17997824/22491$ |
$0.86007$ |
$2.97371$ |
$[0, 0, 0, 312, 2284]$ |
\(y^2=x^3+312x+2284\) |
102.2.0.? |
$[(2, 54), (29, 189)]$ |
22848.p1 |
22848br1 |
22848.p |
22848br |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( - 2^{14} \cdot 3^{3} \cdot 7^{2} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9216$ |
$0.329792$ |
$17997824/22491$ |
$0.86007$ |
$2.64608$ |
$[0, -1, 0, 139, -723]$ |
\(y^2=x^3-x^2+139x-723\) |
102.2.0.? |
$[ ]$ |
22848.cf1 |
22848bf1 |
22848.cf |
22848bf |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( - 2^{14} \cdot 3^{3} \cdot 7^{2} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$0.965861351$ |
$1$ |
|
$2$ |
$9216$ |
$0.329792$ |
$17997824/22491$ |
$0.86007$ |
$2.64608$ |
$[0, 1, 0, 139, 723]$ |
\(y^2=x^3+x^2+139x+723\) |
102.2.0.? |
$[(-2, 21)]$ |
24276.i1 |
24276i1 |
24276.i |
24276i |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 7^{2} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$0.195384490$ |
$1$ |
|
$6$ |
$82944$ |
$1.399826$ |
$17997824/22491$ |
$0.86007$ |
$3.90187$ |
$[0, 1, 0, 10019, 418943]$ |
\(y^2=x^3+x^2+10019x+418943\) |
102.2.0.? |
$[(521, 12138)]$ |
29988.ba1 |
29988bb1 |
29988.ba |
29988bb |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{9} \cdot 7^{8} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$110592$ |
$1.505480$ |
$17997824/22491$ |
$0.86007$ |
$3.94488$ |
$[0, 0, 0, 15288, 783412]$ |
\(y^2=x^3+15288x+783412\) |
102.2.0.? |
$[ ]$ |
35700.bc1 |
35700bd1 |
35700.bc |
35700bd |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{6} \cdot 7^{2} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$40320$ |
$0.787938$ |
$17997824/22491$ |
$0.86007$ |
$3.05788$ |
$[0, 1, 0, 867, 10863]$ |
\(y^2=x^3+x^2+867x+10863\) |
102.2.0.? |
$[ ]$ |
39984.y1 |
39984ce1 |
39984.y |
39984ce |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{3} \cdot 7^{8} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$55296$ |
$0.956174$ |
$17997824/22491$ |
$0.86007$ |
$3.21570$ |
$[0, -1, 0, 1699, 28449]$ |
\(y^2=x^3-x^2+1699x+28449\) |
102.2.0.? |
$[ ]$ |
68544.cu1 |
68544dv1 |
68544.cu |
68544dv |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( - 2^{14} \cdot 3^{9} \cdot 7^{2} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$73728$ |
$0.879099$ |
$17997824/22491$ |
$0.86007$ |
$2.97698$ |
$[0, 0, 0, 1248, 18272]$ |
\(y^2=x^3+1248x+18272\) |
102.2.0.? |
$[ ]$ |
68544.df1 |
68544cg1 |
68544.df |
68544cg |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( - 2^{14} \cdot 3^{9} \cdot 7^{2} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$73728$ |
$0.879099$ |
$17997824/22491$ |
$0.86007$ |
$2.97698$ |
$[0, 0, 0, 1248, -18272]$ |
\(y^2=x^3+1248x-18272\) |
102.2.0.? |
$[ ]$ |
72828.t1 |
72828m1 |
72828.t |
72828m |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 7^{2} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1.906786103$ |
$1$ |
|
$0$ |
$663552$ |
$1.949131$ |
$17997824/22491$ |
$0.86007$ |
$4.10775$ |
$[0, 0, 0, 90168, -11221292]$ |
\(y^2=x^3+90168x-11221292\) |
102.2.0.? |
$[(1241/2, 54621/2)]$ |
97104.q1 |
97104bw1 |
97104.q |
97104bw |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 7^{2} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$0.660109416$ |
$1$ |
|
$4$ |
$331776$ |
$1.399826$ |
$17997824/22491$ |
$0.86007$ |
$3.43083$ |
$[0, -1, 0, 10019, -418943]$ |
\(y^2=x^3-x^2+10019x-418943\) |
102.2.0.? |
$[(57, 578)]$ |
107100.y1 |
107100t1 |
107100.y |
107100t |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{6} \cdot 7^{2} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$0.909744085$ |
$1$ |
|
$4$ |
$322560$ |
$1.337244$ |
$17997824/22491$ |
$0.86007$ |
$3.33697$ |
$[0, 0, 0, 7800, -285500]$ |
\(y^2=x^3+7800x-285500\) |
102.2.0.? |
$[(44, 378)]$ |
119952.ei1 |
119952er1 |
119952.ei |
119952er |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{9} \cdot 7^{8} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$442368$ |
$1.505480$ |
$17997824/22491$ |
$0.86007$ |
$3.47726$ |
$[0, 0, 0, 15288, -783412]$ |
\(y^2=x^3+15288x-783412\) |
102.2.0.? |
$[ ]$ |
142800.dw1 |
142800ea1 |
142800.dw |
142800ea |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{6} \cdot 7^{2} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$161280$ |
$0.787938$ |
$17997824/22491$ |
$0.86007$ |
$2.70073$ |
$[0, -1, 0, 867, -10863]$ |
\(y^2=x^3-x^2+867x-10863\) |
102.2.0.? |
$[ ]$ |
159936.dj1 |
159936jn1 |
159936.dj |
159936jn |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{14} \cdot 3^{3} \cdot 7^{8} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$7.521946622$ |
$1$ |
|
$0$ |
$442368$ |
$1.302748$ |
$17997824/22491$ |
$0.86007$ |
$3.19074$ |
$[0, -1, 0, 6795, -234387]$ |
\(y^2=x^3-x^2+6795x-234387\) |
102.2.0.? |
$[(5204/11, 490049/11)]$ |
159936.im1 |
159936bg1 |
159936.im |
159936bg |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{14} \cdot 3^{3} \cdot 7^{8} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$3.355215105$ |
$1$ |
|
$2$ |
$442368$ |
$1.302748$ |
$17997824/22491$ |
$0.86007$ |
$3.19074$ |
$[0, 1, 0, 6795, 234387]$ |
\(y^2=x^3+x^2+6795x+234387\) |
102.2.0.? |
$[(366, 7203)]$ |
169932.m1 |
169932bf1 |
169932.m |
169932bf |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 7^{8} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$5.764702123$ |
$1$ |
|
$0$ |
$3981312$ |
$2.372780$ |
$17997824/22491$ |
$0.86007$ |
$4.24088$ |
$[0, -1, 0, 490915, -142715607]$ |
\(y^2=x^3-x^2+490915x-142715607\) |
102.2.0.? |
$[(26704/5, 4998833/5)]$ |
172788.l1 |
172788bd1 |
172788.l |
172788bd |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 7 \cdot 11^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{3} \cdot 7^{2} \cdot 11^{6} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$411840$ |
$1.182167$ |
$17997824/22491$ |
$0.86007$ |
$3.05031$ |
$[0, -1, 0, 4195, -113991]$ |
\(y^2=x^3-x^2+4195x-113991\) |
102.2.0.? |
$[ ]$ |
241332.i1 |
241332i1 |
241332.i |
241332i |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 7 \cdot 13^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{3} \cdot 7^{2} \cdot 13^{6} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$508032$ |
$1.265694$ |
$17997824/22491$ |
$0.86007$ |
$3.04896$ |
$[0, -1, 0, 5859, 183897]$ |
\(y^2=x^3-x^2+5859x+183897\) |
102.2.0.? |
$[ ]$ |
249900.bb1 |
249900bb1 |
249900.bb |
249900bb |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{6} \cdot 7^{8} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$11.32364379$ |
$1$ |
|
$0$ |
$1935360$ |
$1.760893$ |
$17997824/22491$ |
$0.86007$ |
$3.51851$ |
$[0, -1, 0, 42467, -3641063]$ |
\(y^2=x^3-x^2+42467x-3641063\) |
102.2.0.? |
$[(303672/43, 221146163/43)]$ |
291312.ea1 |
291312ea1 |
291312.ea |
291312ea |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 7^{2} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2654208$ |
$1.949131$ |
$17997824/22491$ |
$0.86007$ |
$3.65516$ |
$[0, 0, 0, 90168, 11221292]$ |
\(y^2=x^3+90168x+11221292\) |
102.2.0.? |
$[ ]$ |
388416.cp1 |
388416cp1 |
388416.cp |
388416cp |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{14} \cdot 3^{3} \cdot 7^{2} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$3.379278443$ |
$1$ |
|
$0$ |
$2654208$ |
$1.746399$ |
$17997824/22491$ |
$0.86007$ |
$3.38443$ |
$[0, -1, 0, 40075, 3311469]$ |
\(y^2=x^3-x^2+40075x+3311469\) |
102.2.0.? |
$[(2149/2, 107219/2)]$ |
388416.hc1 |
388416hc1 |
388416.hc |
388416hc |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{14} \cdot 3^{3} \cdot 7^{2} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2654208$ |
$1.746399$ |
$17997824/22491$ |
$0.86007$ |
$3.38443$ |
$[0, 1, 0, 40075, -3311469]$ |
\(y^2=x^3+x^2+40075x-3311469\) |
102.2.0.? |
$[ ]$ |
428400.kl1 |
428400kl1 |
428400.kl |
428400kl |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{6} \cdot 7^{2} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1290240$ |
$1.337244$ |
$17997824/22491$ |
$0.86007$ |
$2.98024$ |
$[0, 0, 0, 7800, 285500]$ |
\(y^2=x^3+7800x+285500\) |
102.2.0.? |
$[ ]$ |
479808.go1 |
479808go1 |
479808.go |
479808go |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{14} \cdot 3^{9} \cdot 7^{8} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$6.323211974$ |
$1$ |
|
$0$ |
$3538944$ |
$1.852055$ |
$17997824/22491$ |
$0.86007$ |
$3.42668$ |
$[0, 0, 0, 61152, 6267296]$ |
\(y^2=x^3+61152x+6267296\) |
102.2.0.? |
$[(6601/5, 798651/5)]$ |
479808.ha1 |
479808ha1 |
479808.ha |
479808ha |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{14} \cdot 3^{9} \cdot 7^{8} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3538944$ |
$1.852055$ |
$17997824/22491$ |
$0.86007$ |
$3.42668$ |
$[0, 0, 0, 61152, -6267296]$ |
\(y^2=x^3+61152x-6267296\) |
102.2.0.? |
$[ ]$ |