| 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 |
| 10010.a1 |
10010f4 |
10010.a |
10010f |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{21} \cdot 5^{6} \cdot 7 \cdot 11^{4} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$10920$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1451520$ |
$3.240089$ |
$54497099771831721530744218729/16209843781074944000000$ |
$1.01097$ |
$7.18331$ |
$[1, 0, 1, -78985959, -270129426454]$ |
\(y^2+xy+y=x^3-78985959x-270129426454\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 56.6.0.a.1, 168.48.0.?, $\ldots$ |
$[]$ |
| 50050.cg1 |
50050bm4 |
50050.cg |
50050bm |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{21} \cdot 5^{12} \cdot 7 \cdot 11^{4} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$10920$ |
$96$ |
$1$ |
$3.491380168$ |
$1$ |
|
$2$ |
$34836480$ |
$4.044807$ |
$54497099771831721530744218729/16209843781074944000000$ |
$1.01097$ |
$7.00731$ |
$[1, 1, 1, -1974648963, -33766178306719]$ |
\(y^2+xy+y=x^3+x^2-1974648963x-33766178306719\) |
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, $\ldots$ |
$[(2964675, 5102588062)]$ |
| 70070.z1 |
70070w4 |
70070.z |
70070w |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2^{21} \cdot 5^{6} \cdot 7^{7} \cdot 11^{4} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$10920$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$69672960$ |
$4.213043$ |
$54497099771831721530744218729/16209843781074944000000$ |
$1.01097$ |
$6.97693$ |
$[1, 1, 0, -3870311967, 92650522961669]$ |
\(y^2+xy=x^3+x^2-3870311967x+92650522961669\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 24.24.0-6.a.1.4, $\ldots$ |
$[]$ |
| 80080.bq1 |
80080v4 |
80080.bq |
80080v |
$4$ |
$6$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{33} \cdot 5^{6} \cdot 7 \cdot 11^{4} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$10920$ |
$96$ |
$1$ |
$5.641975749$ |
$1$ |
|
$1$ |
$34836480$ |
$3.933235$ |
$54497099771831721530744218729/16209843781074944000000$ |
$1.01097$ |
$6.59704$ |
$[0, -1, 0, -1263775336, 17288283293040]$ |
\(y^2=x^3-x^2-1263775336x+17288283293040\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 56.6.0.a.1, $\ldots$ |
$[(956964/7, 80830464/7)]$ |
| 90090.dp1 |
90090dr4 |
90090.dp |
90090dr |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{21} \cdot 3^{6} \cdot 5^{6} \cdot 7 \cdot 11^{4} \cdot 13^{6} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$10920$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$34836480$ |
$3.789394$ |
$54497099771831721530744218729/16209843781074944000000$ |
$1.01097$ |
$6.37763$ |
$[1, -1, 1, -710873627, 7293494514251]$ |
\(y^2+xy+y=x^3-x^2-710873627x+7293494514251\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 56.6.0.a.1, 168.48.0.?, $\ldots$ |
$[]$ |
| 110110.bo1 |
110110bs4 |
110110.bo |
110110bs |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \) |
\( 2^{21} \cdot 5^{6} \cdot 7 \cdot 11^{10} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$120120$ |
$96$ |
$1$ |
$1.639369052$ |
$1$ |
|
$6$ |
$174182400$ |
$4.439034$ |
$54497099771831721530744218729/16209843781074944000000$ |
$1.01097$ |
$6.93890$ |
$[1, 0, 0, -9557300981, 359532709308961]$ |
\(y^2+xy=x^3-9557300981x+359532709308961\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.1, 56.6.0.a.1, $\ldots$ |
$[(51138, 2101127)]$ |
| 130130.bp1 |
130130bp4 |
130130.bp |
130130bp |
$4$ |
$6$ |
\( 2 \cdot 5 \cdot 7 \cdot 11 \cdot 13^{2} \) |
\( 2^{21} \cdot 5^{6} \cdot 7 \cdot 11^{4} \cdot 13^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$10920$ |
$96$ |
$1$ |
$1.859703687$ |
$1$ |
|
$6$ |
$243855360$ |
$4.522560$ |
$54497099771831721530744218729/16209843781074944000000$ |
$1.01097$ |
$6.92558$ |
$[1, 0, 0, -13348626990, -593461001291900]$ |
\(y^2+xy=x^3-13348626990x-593461001291900\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 39.8.0-3.a.1.2, 56.6.0.a.1, $\ldots$ |
$[(-66820, 420610)]$ |
| 320320.bc1 |
320320bc4 |
320320.bc |
320320bc |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{39} \cdot 5^{6} \cdot 7 \cdot 11^{4} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$10920$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$278691840$ |
$4.279808$ |
$54497099771831721530744218729/16209843781074944000000$ |
$1.01097$ |
$6.20369$ |
$[0, 1, 0, -5055101345, 138301211242975]$ |
\(y^2=x^3+x^2-5055101345x+138301211242975\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 42.24.0-6.a.1.1, $\ldots$ |
$[]$ |
| 320320.fm1 |
320320fm4 |
320320.fm |
320320fm |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{39} \cdot 5^{6} \cdot 7 \cdot 11^{4} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$10920$ |
$96$ |
$1$ |
$58.57029407$ |
$1$ |
|
$1$ |
$278691840$ |
$4.279808$ |
$54497099771831721530744218729/16209843781074944000000$ |
$1.01097$ |
$6.20369$ |
$[0, -1, 0, -5055101345, -138301211242975]$ |
\(y^2=x^3-x^2-5055101345x-138301211242975\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 56.6.0.a.1, $\ldots$ |
$[(-1065702685341277745241371456/161787525675, 625333769694442051848779768748840575197/161787525675)]$ |
| 350350.ek1 |
350350ek4 |
350350.ek |
350350ek |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2^{21} \cdot 5^{12} \cdot 7^{7} \cdot 11^{4} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$10920$ |
$96$ |
$1$ |
$0.417527562$ |
$1$ |
|
$12$ |
$1672151040$ |
$5.017761$ |
$54497099771831721530744218729/16209843781074944000000$ |
$1.01097$ |
$6.85378$ |
$[1, 0, 0, -96757799188, 11581508885806992]$ |
\(y^2+xy=x^3-96757799188x+11581508885806992\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 56.6.0.a.1, 105.8.0.?, $\ldots$ |
$[(68072, 72838764)]$ |
| 400400.u1 |
400400u4 |
400400.u |
400400u |
$4$ |
$6$ |
\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{33} \cdot 5^{12} \cdot 7 \cdot 11^{4} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$10920$ |
$96$ |
$1$ |
$19.11616841$ |
$1$ |
|
$1$ |
$836075520$ |
$4.737953$ |
$54497099771831721530744218729/16209843781074944000000$ |
$1.01097$ |
$6.52255$ |
$[0, 1, 0, -31594383408, 2160972222863188]$ |
\(y^2=x^3+x^2-31594383408x+2160972222863188\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 56.6.0.a.1, 60.24.0-6.a.1.2, $\ldots$ |
$[(217154329228/1381, 16607524329175650/1381)]$ |
| 450450.o1 |
450450o4 |
450450.o |
450450o |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{21} \cdot 3^{6} \cdot 5^{12} \cdot 7 \cdot 11^{4} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$10920$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$836075520$ |
$4.594116$ |
$54497099771831721530744218729/16209843781074944000000$ |
$1.01097$ |
$6.33094$ |
$[1, -1, 0, -17771840667, 911669042440741]$ |
\(y^2+xy=x^3-x^2-17771840667x+911669042440741\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 30.24.0-6.a.1.2, $\ldots$ |
$[]$ |
