| 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 |
| 2442.a3 |
2442c4 |
2442.a |
2442c |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 37 \) |
\( - 2^{8} \cdot 3^{4} \cdot 11 \cdot 37^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$264$ |
$48$ |
$0$ |
$0.735941858$ |
$1$ |
|
$2$ |
$61440$ |
$2.159309$ |
$-4209586785160189454377/801182513521564416$ |
$1.01295$ |
$6.41953$ |
$[1, 1, 0, -336386, 86426100]$ |
\(y^2+xy=x^3+x^2-336386x+86426100\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 22.6.0.a.1, 24.24.0-24.ba.1.16, 44.24.0-44.g.1.1, $\ldots$ |
$[(68, 7958)]$ |
| 7326.k3 |
7326i4 |
7326.k |
7326i |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 37 \) |
\( - 2^{8} \cdot 3^{10} \cdot 11 \cdot 37^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$491520$ |
$2.708614$ |
$-4209586785160189454377/801182513521564416$ |
$1.01295$ |
$6.36774$ |
$[1, -1, 1, -3027479, -2336532177]$ |
\(y^2+xy+y=x^3-x^2-3027479x-2336532177\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.1, 22.6.0.a.1, $\ldots$ |
$[]$ |
| 19536.u3 |
19536bd4 |
19536.u |
19536bd |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \) |
\( - 2^{20} \cdot 3^{4} \cdot 11 \cdot 37^{8} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$3$ |
$1474560$ |
$2.852459$ |
$-4209586785160189454377/801182513521564416$ |
$1.01295$ |
$5.91029$ |
$[0, 1, 0, -5382184, -5542034764]$ |
\(y^2=x^3+x^2-5382184x-5542034764\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 22.6.0.a.1, 24.24.0-24.ba.1.8, 44.24.0-44.g.1.2, $\ldots$ |
$[]$ |
| 26862.m3 |
26862o3 |
26862.m |
26862o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 37 \) |
\( - 2^{8} \cdot 3^{4} \cdot 11^{7} \cdot 37^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7372800$ |
$3.358257$ |
$-4209586785160189454377/801182513521564416$ |
$1.01295$ |
$6.32089$ |
$[1, 1, 1, -40702769, -115236652849]$ |
\(y^2+xy+y=x^3+x^2-40702769x-115236652849\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 22.6.0.a.1, 24.24.0-24.ba.1.1, 44.24.0-44.g.1.1, $\ldots$ |
$[]$ |
| 58608.bo3 |
58608bq3 |
58608.bo |
58608bq |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 37 \) |
\( - 2^{20} \cdot 3^{10} \cdot 11 \cdot 37^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$264$ |
$48$ |
$0$ |
$3.729039362$ |
$1$ |
|
$1$ |
$11796480$ |
$3.401764$ |
$-4209586785160189454377/801182513521564416$ |
$1.01295$ |
$5.91927$ |
$[0, 0, 0, -48439659, 149586498970]$ |
\(y^2=x^3-48439659x+149586498970\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.2, 22.6.0.a.1, $\ldots$ |
$[(84461/5, 19564416/5)]$ |
| 61050.cz3 |
61050cj3 |
61050.cz |
61050cj |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \) |
\( - 2^{8} \cdot 3^{4} \cdot 5^{6} \cdot 11 \cdot 37^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7864320$ |
$2.964027$ |
$-4209586785160189454377/801182513521564416$ |
$1.01295$ |
$5.42065$ |
$[1, 0, 0, -8409663, 10820081817]$ |
\(y^2+xy=x^3-8409663x+10820081817\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 22.6.0.a.1, 24.12.0.ba.1, $\ldots$ |
$[]$ |
| 78144.bl3 |
78144ce3 |
78144.bl |
78144ce |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 37 \) |
\( - 2^{26} \cdot 3^{4} \cdot 11 \cdot 37^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$264$ |
$48$ |
$0$ |
$103.9409605$ |
$1$ |
|
$1$ |
$11796480$ |
$3.199032$ |
$-4209586785160189454377/801182513521564416$ |
$1.01295$ |
$5.55219$ |
$[0, -1, 0, -21528737, -44314749375]$ |
\(y^2=x^3-x^2-21528737x-44314749375\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 22.6.0.a.1, 24.24.0-24.ba.1.14, $\ldots$ |
$[(3245271157842160240531588242224480752928234576/572792003461134665045, 158396029790191932654423039160257949199570807254224431922024095365851/572792003461134665045)]$ |
| 78144.cu3 |
78144y3 |
78144.cu |
78144y |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 37 \) |
\( - 2^{26} \cdot 3^{4} \cdot 11 \cdot 37^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$11796480$ |
$3.199032$ |
$-4209586785160189454377/801182513521564416$ |
$1.01295$ |
$5.55219$ |
$[0, 1, 0, -21528737, 44314749375]$ |
\(y^2=x^3+x^2-21528737x+44314749375\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 22.6.0.a.1, 24.24.0-24.ba.1.6, $\ldots$ |
$[]$ |
| 80586.q3 |
80586p3 |
80586.q |
80586p |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( - 2^{8} \cdot 3^{10} \cdot 11^{7} \cdot 37^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$58982400$ |
$3.907562$ |
$-4209586785160189454377/801182513521564416$ |
$1.01295$ |
$6.28968$ |
$[1, -1, 0, -366324921, 3111023301997]$ |
\(y^2+xy=x^3-x^2-366324921x+3111023301997\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0-4.c.1.1, 22.6.0.a.1, $\ldots$ |
$[]$ |
| 90354.p3 |
90354q3 |
90354.p |
90354q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 37^{2} \) |
\( - 2^{8} \cdot 3^{4} \cdot 11 \cdot 37^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9768$ |
$48$ |
$0$ |
$10.85023790$ |
$1$ |
|
$0$ |
$84049920$ |
$3.964767$ |
$-4209586785160189454377/801182513521564416$ |
$1.01295$ |
$6.28678$ |
$[1, 1, 1, -460513147, 4384648936841]$ |
\(y^2+xy+y=x^3+x^2-460513147x+4384648936841\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 44.12.0.g.1, $\ldots$ |
$[(254759/5, 107629638/5)]$ |
| 119658.bu3 |
119658bw3 |
119658.bu |
119658bw |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 37 \) |
\( - 2^{8} \cdot 3^{4} \cdot 7^{6} \cdot 11 \cdot 37^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$5.846512983$ |
$1$ |
|
$2$ |
$17694720$ |
$3.132267$ |
$-4209586785160189454377/801182513521564416$ |
$1.01295$ |
$5.28134$ |
$[1, 0, 1, -16482940, -29693601094]$ |
\(y^2+xy+y=x^3-16482940x-29693601094\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 28.12.0-4.c.1.1, $\ldots$ |
$[(95425, 29402807)]$ |
| 183150.cu3 |
183150ew3 |
183150.cu |
183150ew |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 37 \) |
\( - 2^{8} \cdot 3^{10} \cdot 5^{6} \cdot 11 \cdot 37^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$62914560$ |
$3.513336$ |
$-4209586785160189454377/801182513521564416$ |
$1.01295$ |
$5.47318$ |
$[1, -1, 0, -75686967, -292142209059]$ |
\(y^2+xy=x^3-x^2-75686967x-292142209059\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 40.12.0-4.c.1.5, $\ldots$ |
$[]$ |
| 214896.bs3 |
214896c4 |
214896.bs |
214896c |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 37 \) |
\( - 2^{20} \cdot 3^{4} \cdot 11^{7} \cdot 37^{8} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$264$ |
$48$ |
$0$ |
$3.228088072$ |
$1$ |
|
$7$ |
$176947200$ |
$4.051407$ |
$-4209586785160189454377/801182513521564416$ |
$1.01295$ |
$5.92781$ |
$[0, 1, 0, -651244304, 7373843293716]$ |
\(y^2=x^3+x^2-651244304x+7373843293716\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 22.6.0.a.1, 24.24.0-24.ba.1.9, 44.24.0-44.g.1.2, $\ldots$ |
$[(10114, 1349760)]$ |
| 234432.m3 |
234432m3 |
234432.m |
234432m |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 37 \) |
\( - 2^{26} \cdot 3^{10} \cdot 11 \cdot 37^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$264$ |
$48$ |
$0$ |
$58.14591300$ |
$1$ |
|
$1$ |
$94371840$ |
$3.748337$ |
$-4209586785160189454377/801182513521564416$ |
$1.01295$ |
$5.59197$ |
$[0, 0, 0, -193758636, -1196691991760]$ |
\(y^2=x^3-193758636x-1196691991760\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 22.6.0.a.1, 24.24.0-24.ba.1.2, $\ldots$ |
$[(108664314019275454756749281/79371127388, 385102686442955145399867544367665607505/79371127388)]$ |
| 234432.bj3 |
234432bj4 |
234432.bj |
234432bj |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 37 \) |
\( - 2^{26} \cdot 3^{10} \cdot 11 \cdot 37^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$264$ |
$48$ |
$0$ |
$27.38501208$ |
$1$ |
|
$1$ |
$94371840$ |
$3.748337$ |
$-4209586785160189454377/801182513521564416$ |
$1.01295$ |
$5.59197$ |
$[0, 0, 0, -193758636, 1196691991760]$ |
\(y^2=x^3-193758636x+1196691991760\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 22.6.0.a.1, 24.24.0-24.ba.1.10, $\ldots$ |
$[(4780989138781/25123, 6414281105187528315/25123)]$ |
| 271062.d3 |
271062d3 |
271062.d |
271062d |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 37^{2} \) |
\( - 2^{8} \cdot 3^{10} \cdot 11 \cdot 37^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9768$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$672399360$ |
$4.514076$ |
$-4209586785160189454377/801182513521564416$ |
$1.01295$ |
$6.26159$ |
$[1, -1, 0, -4144618323, -118389665913035]$ |
\(y^2+xy=x^3-x^2-4144618323x-118389665913035\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 44.12.0.g.1, $\ldots$ |
$[]$ |
| 358974.cu3 |
358974cu4 |
358974.cu |
358974cu |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 37 \) |
\( - 2^{8} \cdot 3^{10} \cdot 7^{6} \cdot 11 \cdot 37^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$0.968713900$ |
$1$ |
|
$6$ |
$141557760$ |
$3.681572$ |
$-4209586785160189454377/801182513521564416$ |
$1.01295$ |
$5.34306$ |
$[1, -1, 1, -148346456, 801727229531]$ |
\(y^2+xy+y=x^3-x^2-148346456x+801727229531\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 44.12.0.g.1, $\ldots$ |
$[(2473, 669573)]$ |
| 412698.cd3 |
412698cd4 |
412698.cd |
412698cd |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 13^{2} \cdot 37 \) |
\( - 2^{8} \cdot 3^{4} \cdot 11 \cdot 13^{6} \cdot 37^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$117964800$ |
$3.441784$ |
$-4209586785160189454377/801182513521564416$ |
$1.01295$ |
$5.06290$ |
$[1, 1, 1, -56849322, 190162388151]$ |
\(y^2+xy+y=x^3+x^2-56849322x+190162388151\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 44.12.0.g.1, $\ldots$ |
$[]$ |
| 488400.e3 |
488400e3 |
488400.e |
488400e |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \) |
\( - 2^{20} \cdot 3^{4} \cdot 5^{6} \cdot 11 \cdot 37^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$188743680$ |
$3.657177$ |
$-4209586785160189454377/801182513521564416$ |
$1.01295$ |
$5.19513$ |
$[0, -1, 0, -134554608, -692485236288]$ |
\(y^2=x^3-x^2-134554608x-692485236288\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 22.6.0.a.1, 24.12.0.ba.1, $\ldots$ |
$[]$ |
