| 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 |
| 5610.o3 |
5610n2 |
5610.o |
5610n |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2 \cdot 3^{6} \cdot 5^{4} \cdot 11^{6} \cdot 17 \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$4488$ |
$96$ |
$1$ |
$2.605173836$ |
$1$ |
|
$8$ |
$23040$ |
$1.347956$ |
$746461053445307689/27443694341250$ |
$0.95942$ |
$4.76745$ |
$[1, 0, 1, -18899, 966116]$ |
\(y^2+xy+y=x^3-18899x+966116\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 132.48.0.?, 136.6.0.?, $\ldots$ |
$[(246, 3226)]$ |
| 16830.cu3 |
16830cp2 |
16830.cu |
16830cp |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2 \cdot 3^{12} \cdot 5^{4} \cdot 11^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$4488$ |
$96$ |
$1$ |
$4.504500626$ |
$1$ |
|
$0$ |
$184320$ |
$1.897261$ |
$746461053445307689/27443694341250$ |
$0.95942$ |
$4.90661$ |
$[1, -1, 1, -170087, -26085139]$ |
\(y^2+xy+y=x^3-x^2-170087x-26085139\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 132.48.0.?, 136.6.0.?, $\ldots$ |
$[(-1041/2, 6707/2)]$ |
| 28050.cf3 |
28050cj2 |
28050.cf |
28050cj |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2 \cdot 3^{6} \cdot 5^{10} \cdot 11^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$552960$ |
$2.152676$ |
$746461053445307689/27443694341250$ |
$0.95942$ |
$4.96114$ |
$[1, 1, 1, -472463, 120764531]$ |
\(y^2+xy+y=x^3+x^2-472463x+120764531\) |
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, $\ldots$ |
$[]$ |
| 44880.e3 |
44880bc2 |
44880.e |
44880bc |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{13} \cdot 3^{6} \cdot 5^{4} \cdot 11^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4488$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$552960$ |
$2.041103$ |
$746461053445307689/27443694341250$ |
$0.95942$ |
$4.61847$ |
$[0, -1, 0, -302376, -61831440]$ |
\(y^2=x^3-x^2-302376x-61831440\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 132.48.0.?, $\ldots$ |
$[]$ |
| 61710.cj3 |
61710co2 |
61710.cj |
61710co |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2 \cdot 3^{6} \cdot 5^{4} \cdot 11^{12} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4488$ |
$96$ |
$1$ |
$7.048132066$ |
$1$ |
|
$0$ |
$2764800$ |
$2.546902$ |
$746461053445307689/27443694341250$ |
$0.95942$ |
$5.03540$ |
$[1, 0, 0, -2286721, -1288187449]$ |
\(y^2+xy=x^3-2286721x-1288187449\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 33.8.0-3.a.1.2, $\ldots$ |
$[(51893/4, 10099055/4)]$ |
| 84150.s3 |
84150bf2 |
84150.s |
84150bf |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2 \cdot 3^{12} \cdot 5^{10} \cdot 11^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$4423680$ |
$2.701981$ |
$746461053445307689/27443694341250$ |
$0.95942$ |
$5.06178$ |
$[1, -1, 0, -4252167, -3264894509]$ |
\(y^2+xy=x^3-x^2-4252167x-3264894509\) |
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, $\ldots$ |
$[]$ |
| 95370.o3 |
95370p2 |
95370.o |
95370p |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2 \cdot 3^{6} \cdot 5^{4} \cdot 11^{6} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4488$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$6635520$ |
$2.764561$ |
$746461053445307689/27443694341250$ |
$0.95942$ |
$5.07202$ |
$[1, 1, 0, -5461672, 4751990806]$ |
\(y^2+xy=x^3+x^2-5461672x+4751990806\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.5, 51.8.0-3.a.1.2, $\ldots$ |
$[]$ |
| 134640.dq3 |
134640j2 |
134640.dq |
134640j |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{13} \cdot 3^{12} \cdot 5^{4} \cdot 11^{6} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4488$ |
$96$ |
$1$ |
$0.690412852$ |
$1$ |
|
$29$ |
$4423680$ |
$2.590408$ |
$746461053445307689/27443694341250$ |
$0.95942$ |
$4.74698$ |
$[0, 0, 0, -2721387, 1672170266]$ |
\(y^2=x^3-2721387x+1672170266\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 132.48.0.?, $\ldots$ |
$[(-83, 43560), (797, 3080)]$ |
| 179520.dv3 |
179520hj2 |
179520.dv |
179520hj |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{19} \cdot 3^{6} \cdot 5^{4} \cdot 11^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4488$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$4423680$ |
$2.387676$ |
$746461053445307689/27443694341250$ |
$0.95942$ |
$4.43301$ |
$[0, -1, 0, -1209505, 495861025]$ |
\(y^2=x^3-x^2-1209505x+495861025\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 102.24.0.?, $\ldots$ |
$[]$ |
| 179520.gu3 |
179520h2 |
179520.gu |
179520h |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{19} \cdot 3^{6} \cdot 5^{4} \cdot 11^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4488$ |
$96$ |
$1$ |
$1.046563130$ |
$1$ |
|
$7$ |
$4423680$ |
$2.387676$ |
$746461053445307689/27443694341250$ |
$0.95942$ |
$4.43301$ |
$[0, 1, 0, -1209505, -495861025]$ |
\(y^2=x^3+x^2-1209505x-495861025\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 132.24.0.?, $\ldots$ |
$[(-715, 1980)]$ |
| 185130.bu3 |
185130db2 |
185130.bu |
185130db |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2 \cdot 3^{12} \cdot 5^{4} \cdot 11^{12} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4488$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$22118400$ |
$3.096210$ |
$746461053445307689/27443694341250$ |
$0.95942$ |
$5.12277$ |
$[1, -1, 0, -20580489, 34781061123]$ |
\(y^2+xy=x^3-x^2-20580489x+34781061123\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 33.8.0-3.a.1.1, $\ldots$ |
$[]$ |
| 224400.hp3 |
224400cs2 |
224400.hp |
224400cs |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2^{13} \cdot 3^{6} \cdot 5^{10} \cdot 11^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$13271040$ |
$2.845821$ |
$746461053445307689/27443694341250$ |
$0.95942$ |
$4.79893$ |
$[0, 1, 0, -7559408, -7744048812]$ |
\(y^2=x^3+x^2-7559408x-7744048812\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0-6.a.1.4, 132.24.0.?, $\ldots$ |
$[]$ |
| 274890.bp3 |
274890bp2 |
274890.bp |
274890bp |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2 \cdot 3^{6} \cdot 5^{4} \cdot 7^{6} \cdot 11^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$31416$ |
$96$ |
$1$ |
$1.452035056$ |
$1$ |
|
$8$ |
$8294400$ |
$2.320911$ |
$746461053445307689/27443694341250$ |
$0.95942$ |
$4.21822$ |
$[1, 1, 0, -926027, -332303901]$ |
\(y^2+xy=x^3+x^2-926027x-332303901\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 42.24.0-6.a.1.3, $\ldots$ |
$[(-557, 3606)]$ |
| 286110.dy3 |
286110dy2 |
286110.dy |
286110dy |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2 \cdot 3^{12} \cdot 5^{4} \cdot 11^{6} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4488$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$53084160$ |
$3.313869$ |
$746461053445307689/27443694341250$ |
$0.95942$ |
$5.15317$ |
$[1, -1, 1, -49155053, -128352906813]$ |
\(y^2+xy+y=x^3-x^2-49155053x-128352906813\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.13, 51.8.0-3.a.1.1, $\ldots$ |
$[]$ |
| 308550.bz3 |
308550bz2 |
308550.bz |
308550bz |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \) |
\( 2 \cdot 3^{6} \cdot 5^{10} \cdot 11^{12} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$66355200$ |
$3.351624$ |
$746461053445307689/27443694341250$ |
$0.95942$ |
$5.15823$ |
$[1, 1, 0, -57168025, -161023431125]$ |
\(y^2+xy=x^3+x^2-57168025x-161023431125\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0-6.a.1.9, 132.24.0.?, $\ldots$ |
$[]$ |
| 476850.jr3 |
476850jr2 |
476850.jr |
476850jr |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \) |
\( 2 \cdot 3^{6} \cdot 5^{10} \cdot 11^{6} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$96$ |
$1$ |
$5.797780538$ |
$1$ |
|
$0$ |
$159252480$ |
$3.569283$ |
$746461053445307689/27443694341250$ |
$0.95942$ |
$5.18625$ |
$[1, 0, 0, -136541813, 594271934367]$ |
\(y^2+xy=x^3-136541813x+594271934367\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 120.24.0.?, 132.24.0.?, $\ldots$ |
$[(1032319/2, 1046778797/2)]$ |
| 493680.br3 |
493680br2 |
493680.br |
493680br |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{13} \cdot 3^{6} \cdot 5^{4} \cdot 11^{12} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4488$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$66355200$ |
$3.240051$ |
$746461053445307689/27443694341250$ |
$0.95942$ |
$4.87117$ |
$[0, -1, 0, -36587536, 82443996736]$ |
\(y^2=x^3-x^2-36587536x+82443996736\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.8, 132.48.0.?, $\ldots$ |
$[]$ |
