| 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 |
| 5390.y1 |
5390bc1 |
5390.y |
5390bc |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{11} \cdot 5^{8} \cdot 7^{4} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$0.028647038$ |
$1$ |
|
$18$ |
$12672$ |
$1.292345$ |
$85713473128801/8800000000$ |
$0.96968$ |
$4.63970$ |
$[1, 1, 1, -12300, 471085]$ |
\(y^2+xy+y=x^3+x^2-12300x+471085\) |
88.2.0.? |
$[(13, 553)]$ |
| 5390.bc1 |
5390v1 |
5390.bc |
5390v |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{11} \cdot 5^{8} \cdot 7^{10} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1.604539587$ |
$1$ |
|
$4$ |
$88704$ |
$2.265301$ |
$85713473128801/8800000000$ |
$0.96968$ |
$5.99853$ |
$[1, 0, 0, -602701, -163390319]$ |
\(y^2+xy=x^3-602701x-163390319\) |
88.2.0.? |
$[(-534, 2767)]$ |
| 26950.o1 |
26950k1 |
26950.o |
26950k |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{11} \cdot 5^{14} \cdot 7^{10} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$2128896$ |
$3.070019$ |
$85713473128801/8800000000$ |
$0.96968$ |
$5.99876$ |
$[1, 1, 0, -15067525, -20423789875]$ |
\(y^2+xy=x^3+x^2-15067525x-20423789875\) |
88.2.0.? |
$[]$ |
| 26950.bb1 |
26950a1 |
26950.bb |
26950a |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{11} \cdot 5^{14} \cdot 7^{4} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$7.101990577$ |
$1$ |
|
$0$ |
$304128$ |
$2.097065$ |
$85713473128801/8800000000$ |
$0.96968$ |
$4.85430$ |
$[1, 0, 1, -307501, 59500648]$ |
\(y^2+xy+y=x^3-307501x+59500648\) |
88.2.0.? |
$[(3677/4, 56089/4)]$ |
| 43120.w1 |
43120bs1 |
43120.w |
43120bs |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{23} \cdot 5^{8} \cdot 7^{10} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2128896$ |
$2.958447$ |
$85713473128801/8800000000$ |
$0.96968$ |
$5.60910$ |
$[0, -1, 0, -9643216, 10456980416]$ |
\(y^2=x^3-x^2-9643216x+10456980416\) |
88.2.0.? |
$[]$ |
| 43120.ck1 |
43120ce1 |
43120.ck |
43120ce |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{23} \cdot 5^{8} \cdot 7^{4} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$304128$ |
$1.985491$ |
$85713473128801/8800000000$ |
$0.96968$ |
$4.51505$ |
$[0, 1, 0, -196800, -30543052]$ |
\(y^2=x^3+x^2-196800x-30543052\) |
88.2.0.? |
$[]$ |
| 48510.u1 |
48510l1 |
48510.u |
48510l |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{11} \cdot 3^{6} \cdot 5^{8} \cdot 7^{4} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$2.339676395$ |
$1$ |
|
$0$ |
$380160$ |
$1.841650$ |
$85713473128801/8800000000$ |
$0.96968$ |
$4.30578$ |
$[1, -1, 0, -110700, -12830000]$ |
\(y^2+xy=x^3-x^2-110700x-12830000\) |
88.2.0.? |
$[(-825/2, 9575/2)]$ |
| 48510.bs1 |
48510bq1 |
48510.bs |
48510bq |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{11} \cdot 3^{6} \cdot 5^{8} \cdot 7^{10} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$4.476550117$ |
$1$ |
|
$2$ |
$2661120$ |
$2.814606$ |
$85713473128801/8800000000$ |
$0.96968$ |
$5.38789$ |
$[1, -1, 0, -5424309, 4411538613]$ |
\(y^2+xy=x^3-x^2-5424309x+4411538613\) |
88.2.0.? |
$[(727, 28824)]$ |
| 59290.s1 |
59290bg1 |
59290.s |
59290bg |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{11} \cdot 5^{8} \cdot 7^{4} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$0.726348350$ |
$1$ |
|
$4$ |
$1520640$ |
$2.491291$ |
$85713473128801/8800000000$ |
$0.96968$ |
$4.93649$ |
$[1, 1, 0, -1488302, -634455884]$ |
\(y^2+xy=x^3+x^2-1488302x-634455884\) |
88.2.0.? |
$[(-643, 7884)]$ |
| 59290.bo1 |
59290m1 |
59290.bo |
59290m |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{11} \cdot 5^{8} \cdot 7^{10} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$7.261081928$ |
$1$ |
|
$0$ |
$10644480$ |
$3.464249$ |
$85713473128801/8800000000$ |
$0.96968$ |
$5.99885$ |
$[1, 0, 1, -72926824, 217399587766]$ |
\(y^2+xy+y=x^3-72926824x+217399587766\) |
88.2.0.? |
$[(-475348/7, 39135734/7)]$ |
| 172480.br1 |
172480bj1 |
172480.br |
172480bj |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{29} \cdot 5^{8} \cdot 7^{4} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2433024$ |
$2.332066$ |
$85713473128801/8800000000$ |
$0.96968$ |
$4.34087$ |
$[0, -1, 0, -787201, -243557215]$ |
\(y^2=x^3-x^2-787201x-243557215\) |
88.2.0.? |
$[]$ |
| 172480.cu1 |
172480ez1 |
172480.cu |
172480ez |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{29} \cdot 5^{8} \cdot 7^{10} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17031168$ |
$3.305019$ |
$85713473128801/8800000000$ |
$0.96968$ |
$5.30914$ |
$[0, -1, 0, -38572865, -83617270463]$ |
\(y^2=x^3-x^2-38572865x-83617270463\) |
88.2.0.? |
$[]$ |
| 172480.fi1 |
172480gx1 |
172480.fi |
172480gx |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{29} \cdot 5^{8} \cdot 7^{4} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2433024$ |
$2.332066$ |
$85713473128801/8800000000$ |
$0.96968$ |
$4.34087$ |
$[0, 1, 0, -787201, 243557215]$ |
\(y^2=x^3+x^2-787201x+243557215\) |
88.2.0.? |
$[]$ |
| 172480.ft1 |
172480cq1 |
172480.ft |
172480cq |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{29} \cdot 5^{8} \cdot 7^{10} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17031168$ |
$3.305019$ |
$85713473128801/8800000000$ |
$0.96968$ |
$5.30914$ |
$[0, 1, 0, -38572865, 83617270463]$ |
\(y^2=x^3+x^2-38572865x+83617270463\) |
88.2.0.? |
$[]$ |
| 215600.cp1 |
215600ca1 |
215600.cp |
215600ca |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{23} \cdot 5^{14} \cdot 7^{4} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$2.407401908$ |
$1$ |
|
$2$ |
$7299072$ |
$2.790211$ |
$85713473128801/8800000000$ |
$0.96968$ |
$4.70965$ |
$[0, -1, 0, -4920008, -3808041488]$ |
\(y^2=x^3-x^2-4920008x-3808041488\) |
88.2.0.? |
$[(4212, 224000)]$ |
| 215600.gc1 |
215600dz1 |
215600.gc |
215600dz |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{23} \cdot 5^{14} \cdot 7^{10} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$51093504$ |
$3.763165$ |
$85713473128801/8800000000$ |
$0.96968$ |
$5.66033$ |
$[0, 1, 0, -241080408, 1306640391188]$ |
\(y^2=x^3+x^2-241080408x+1306640391188\) |
88.2.0.? |
$[]$ |
| 242550.mv1 |
242550mv1 |
242550.mv |
242550mv |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{11} \cdot 3^{6} \cdot 5^{14} \cdot 7^{4} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9123840$ |
$2.646370$ |
$85713473128801/8800000000$ |
$0.96968$ |
$4.52570$ |
$[1, -1, 1, -2767505, -1606517503]$ |
\(y^2+xy+y=x^3-x^2-2767505x-1606517503\) |
88.2.0.? |
$[]$ |
| 242550.nh1 |
242550nh1 |
242550.nh |
242550nh |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{11} \cdot 3^{6} \cdot 5^{14} \cdot 7^{10} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$9.486500404$ |
$1$ |
|
$0$ |
$63866880$ |
$3.619324$ |
$85713473128801/8800000000$ |
$0.96968$ |
$5.46735$ |
$[1, -1, 1, -135607730, 551306718897]$ |
\(y^2+xy+y=x^3-x^2-135607730x+551306718897\) |
88.2.0.? |
$[(182961/7, 106191065/7)]$ |
| 296450.he1 |
296450he1 |
296450.he |
296450he |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{11} \cdot 5^{14} \cdot 7^{10} \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$255467520$ |
$4.268967$ |
$85713473128801/8800000000$ |
$0.96968$ |
$5.99899$ |
$[1, 1, 1, -1823170588, 27174948470781]$ |
\(y^2+xy+y=x^3+x^2-1823170588x+27174948470781\) |
88.2.0.? |
$[]$ |
| 296450.jm1 |
296450jm1 |
296450.jm |
296450jm |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{11} \cdot 5^{14} \cdot 7^{4} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$0.963352351$ |
$1$ |
|
$4$ |
$36495360$ |
$3.296013$ |
$85713473128801/8800000000$ |
$0.96968$ |
$5.07234$ |
$[1, 0, 0, -37207563, -79232570383]$ |
\(y^2+xy=x^3-37207563x-79232570383\) |
88.2.0.? |
$[(-3818, 86609)]$ |
| 388080.cm1 |
388080cm1 |
388080.cm |
388080cm |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{23} \cdot 3^{6} \cdot 5^{8} \cdot 7^{4} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$4.431966555$ |
$1$ |
|
$2$ |
$9123840$ |
$2.534798$ |
$85713473128801/8800000000$ |
$0.96968$ |
$4.25637$ |
$[0, 0, 0, -1771203, 822891202]$ |
\(y^2=x^3-1771203x+822891202\) |
88.2.0.? |
$[(-1503, 9472)]$ |
| 388080.ji1 |
388080ji1 |
388080.ji |
388080ji |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{23} \cdot 3^{6} \cdot 5^{8} \cdot 7^{10} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$4.998160233$ |
$1$ |
|
$2$ |
$63866880$ |
$3.507751$ |
$85713473128801/8800000000$ |
$0.96968$ |
$5.16363$ |
$[0, 0, 0, -86788947, -282251682286]$ |
\(y^2=x^3-86788947x-282251682286\) |
88.2.0.? |
$[(11033, 321280)]$ |
| 474320.ct1 |
474320ct1 |
474320.ct |
474320ct |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{23} \cdot 5^{8} \cdot 7^{10} \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$255467520$ |
$4.157394$ |
$85713473128801/8800000000$ |
$0.96968$ |
$5.68082$ |
$[0, -1, 0, -1166829176, -13913573617040]$ |
\(y^2=x^3-x^2-1166829176x-13913573617040\) |
88.2.0.? |
$[]$ |
| 474320.hk1 |
474320hk1 |
474320.hk |
474320hk |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{23} \cdot 5^{8} \cdot 7^{4} \cdot 11^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1.074098550$ |
$1$ |
|
$16$ |
$36495360$ |
$3.184441$ |
$85713473128801/8800000000$ |
$0.96968$ |
$4.78749$ |
$[0, 1, 0, -23812840, 40557550900]$ |
\(y^2=x^3+x^2-23812840x+40557550900\) |
88.2.0.? |
$[(5070, 224000), (-180, 211750)]$ |
