| 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 |
| 10830.b2 |
10830c1 |
10830.b |
10830c |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( - 2^{3} \cdot 3^{6} \cdot 5^{3} \cdot 19^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2280$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$246240$ |
$2.260662$ |
$129205871/729000$ |
$0.99633$ |
$5.41334$ |
$[1, 1, 0, 192767, 96438973]$ |
\(y^2+xy=x^3+x^2+192767x+96438973\) |
3.4.0.a.1, 40.2.0.a.1, 57.8.0-3.a.1.1, 120.8.0.?, 2280.16.0.? |
$[]$ |
| 10830.bb2 |
10830ba1 |
10830.bb |
10830ba |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( - 2^{3} \cdot 3^{6} \cdot 5^{3} \cdot 19^{4} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$120$ |
$16$ |
$0$ |
$2.269472557$ |
$1$ |
|
$6$ |
$12960$ |
$0.788442$ |
$129205871/729000$ |
$0.99633$ |
$3.51167$ |
$[1, 0, 0, 534, -14004]$ |
\(y^2+xy=x^3+534x-14004\) |
3.8.0-3.a.1.2, 40.2.0.a.1, 120.16.0.? |
$[(18, 30)]$ |
| 32490.t2 |
32490p1 |
32490.t |
32490p |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19^{2} \) |
\( - 2^{3} \cdot 3^{12} \cdot 5^{3} \cdot 19^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$120$ |
$16$ |
$0$ |
$0.588279446$ |
$1$ |
|
$4$ |
$103680$ |
$1.337748$ |
$129205871/729000$ |
$0.99633$ |
$3.77481$ |
$[1, -1, 0, 4806, 378108]$ |
\(y^2+xy=x^3-x^2+4806x+378108\) |
3.8.0-3.a.1.1, 40.2.0.a.1, 120.16.0.? |
$[(-33, 444)]$ |
| 32490.bt2 |
32490by1 |
32490.bt |
32490by |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19^{2} \) |
\( - 2^{3} \cdot 3^{12} \cdot 5^{3} \cdot 19^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2280$ |
$16$ |
$0$ |
$7.440788505$ |
$1$ |
|
$0$ |
$1969920$ |
$2.809967$ |
$129205871/729000$ |
$0.99633$ |
$5.47538$ |
$[1, -1, 1, 1734898, -2602117371]$ |
\(y^2+xy+y=x^3-x^2+1734898x-2602117371\) |
3.4.0.a.1, 40.2.0.a.1, 57.8.0-3.a.1.2, 120.8.0.?, 2280.16.0.? |
$[(10943/2, 1192083/2)]$ |
| 54150.h2 |
54150b1 |
54150.h |
54150b |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{3} \cdot 3^{6} \cdot 5^{9} \cdot 19^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$0.558937088$ |
$1$ |
|
$4$ |
$311040$ |
$1.593161$ |
$129205871/729000$ |
$0.99633$ |
$3.87910$ |
$[1, 1, 0, 13350, -1750500]$ |
\(y^2+xy=x^3+x^2+13350x-1750500\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 24.8.0-3.a.1.8, 40.2.0.a.1, 120.16.0.? |
$[(1005, 31560)]$ |
| 54150.cn2 |
54150cm1 |
54150.cn |
54150cm |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{3} \cdot 3^{6} \cdot 5^{9} \cdot 19^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2280$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5909760$ |
$3.065380$ |
$129205871/729000$ |
$0.99633$ |
$5.49997$ |
$[1, 0, 0, 4819162, 12045233292]$ |
\(y^2+xy=x^3+4819162x+12045233292\) |
3.4.0.a.1, 40.2.0.a.1, 120.8.0.?, 285.8.0.?, 456.8.0.?, $\ldots$ |
$[]$ |
| 86640.m2 |
86640bl1 |
86640.m |
86640bl |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( - 2^{15} \cdot 3^{6} \cdot 5^{3} \cdot 19^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$311040$ |
$1.481588$ |
$129205871/729000$ |
$0.99633$ |
$3.60098$ |
$[0, -1, 0, 8544, 896256]$ |
\(y^2=x^3-x^2+8544x+896256\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 40.2.0.a.1, 120.16.0.? |
$[]$ |
| 86640.cr2 |
86640dg1 |
86640.cr |
86640dg |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( - 2^{15} \cdot 3^{6} \cdot 5^{3} \cdot 19^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2280$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5909760$ |
$2.953808$ |
$129205871/729000$ |
$0.99633$ |
$5.15484$ |
$[0, 1, 0, 3084264, -6165925740]$ |
\(y^2=x^3+x^2+3084264x-6165925740\) |
3.4.0.a.1, 40.2.0.a.1, 120.8.0.?, 228.8.0.?, 2280.16.0.? |
$[]$ |
| 162450.bn2 |
162450dx1 |
162450.bn |
162450dx |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{3} \cdot 3^{12} \cdot 5^{9} \cdot 19^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2280$ |
$16$ |
$0$ |
$49.26672196$ |
$1$ |
|
$0$ |
$47278080$ |
$3.614685$ |
$129205871/729000$ |
$0.99633$ |
$5.54575$ |
$[1, -1, 0, 43372458, -325221298884]$ |
\(y^2+xy=x^3-x^2+43372458x-325221298884\) |
3.4.0.a.1, 40.2.0.a.1, 120.8.0.?, 285.8.0.?, 456.8.0.?, $\ldots$ |
$[(34244763691299463243071/841266167, 6372065865269920898378223707433984/841266167)]$ |
| 162450.ee2 |
162450bi1 |
162450.ee |
162450bi |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{3} \cdot 3^{12} \cdot 5^{9} \cdot 19^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1.784458973$ |
$1$ |
|
$2$ |
$2488320$ |
$2.142467$ |
$129205871/729000$ |
$0.99633$ |
$4.07330$ |
$[1, -1, 1, 120145, 47383647]$ |
\(y^2+xy+y=x^3-x^2+120145x+47383647\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 24.8.0-3.a.1.7, 40.2.0.a.1, 120.16.0.? |
$[(689, 21030)]$ |
| 259920.fk2 |
259920fk1 |
259920.fk |
259920fk |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 19^{2} \) |
\( - 2^{15} \cdot 3^{12} \cdot 5^{3} \cdot 19^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2280$ |
$16$ |
$0$ |
$14.93363343$ |
$1$ |
|
$0$ |
$47278080$ |
$3.503113$ |
$129205871/729000$ |
$0.99633$ |
$5.22931$ |
$[0, 0, 0, 27758373, 166507753354]$ |
\(y^2=x^3+27758373x+166507753354\) |
3.4.0.a.1, 40.2.0.a.1, 120.8.0.?, 228.8.0.?, 2280.16.0.? |
$[(-10214497/79, 168423234390/79)]$ |
| 259920.fl2 |
259920fl1 |
259920.fl |
259920fl |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 19^{2} \) |
\( - 2^{15} \cdot 3^{12} \cdot 5^{3} \cdot 19^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2488320$ |
$2.030895$ |
$129205871/729000$ |
$0.99633$ |
$3.81237$ |
$[0, 0, 0, 76893, -24275806]$ |
\(y^2=x^3+76893x-24275806\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 40.2.0.a.1, 120.16.0.? |
$[]$ |
| 346560.ed2 |
346560ed1 |
346560.ed |
346560ed |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( - 2^{21} \cdot 3^{6} \cdot 5^{3} \cdot 19^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2488320$ |
$1.828163$ |
$129205871/729000$ |
$0.99633$ |
$3.53567$ |
$[0, -1, 0, 34175, -7204223]$ |
\(y^2=x^3-x^2+34175x-7204223\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 40.2.0.a.1, 60.8.0-3.a.1.4, 120.16.0.? |
$[]$ |
| 346560.ek2 |
346560ek1 |
346560.ek |
346560ek |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( - 2^{21} \cdot 3^{6} \cdot 5^{3} \cdot 19^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2280$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$47278080$ |
$3.300381$ |
$129205871/729000$ |
$0.99633$ |
$4.92066$ |
$[0, -1, 0, 12337055, -49339742975]$ |
\(y^2=x^3-x^2+12337055x-49339742975\) |
3.4.0.a.1, 40.2.0.a.1, 120.8.0.?, 456.8.0.?, 570.8.0.?, $\ldots$ |
$[]$ |
| 346560.jt2 |
346560jt1 |
346560.jt |
346560jt |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( - 2^{21} \cdot 3^{6} \cdot 5^{3} \cdot 19^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2280$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$47278080$ |
$3.300381$ |
$129205871/729000$ |
$0.99633$ |
$4.92066$ |
$[0, 1, 0, 12337055, 49339742975]$ |
\(y^2=x^3+x^2+12337055x+49339742975\) |
3.4.0.a.1, 40.2.0.a.1, 120.8.0.?, 456.8.0.?, 1140.8.0.?, $\ldots$ |
$[]$ |
| 346560.ka2 |
346560ka1 |
346560.ka |
346560ka |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( - 2^{21} \cdot 3^{6} \cdot 5^{3} \cdot 19^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$0.334203643$ |
$1$ |
|
$22$ |
$2488320$ |
$1.828163$ |
$129205871/729000$ |
$0.99633$ |
$3.53567$ |
$[0, 1, 0, 34175, 7204223]$ |
\(y^2=x^3+x^2+34175x+7204223\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 30.8.0-3.a.1.1, 40.2.0.a.1, 120.16.0.? |
$[(671, 18240), (31, 2880)]$ |
| 433200.cn2 |
433200cn1 |
433200.cn |
433200cn |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{15} \cdot 3^{6} \cdot 5^{9} \cdot 19^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2280$ |
$16$ |
$0$ |
$18.92102332$ |
$1$ |
|
$0$ |
$141834240$ |
$3.758526$ |
$129205871/729000$ |
$0.99633$ |
$5.25965$ |
$[0, -1, 0, 77106592, -770894930688]$ |
\(y^2=x^3-x^2+77106592x-770894930688\) |
3.4.0.a.1, 40.2.0.a.1, 120.8.0.?, 456.8.0.?, 1140.8.0.?, $\ldots$ |
$[(13101358913/457, 1511884645186500/457)]$ |
| 433200.hv2 |
433200hv1 |
433200.hv |
433200hv |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{15} \cdot 3^{6} \cdot 5^{9} \cdot 19^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$0.712999244$ |
$1$ |
|
$4$ |
$7464960$ |
$2.286308$ |
$129205871/729000$ |
$0.99633$ |
$3.89847$ |
$[0, 1, 0, 213592, 112459188]$ |
\(y^2=x^3+x^2+213592x+112459188\) |
3.4.0.a.1, 24.8.0-3.a.1.6, 40.2.0.a.1, 60.8.0-3.a.1.2, 120.16.0.? |
$[(478, 18000)]$ |
