| 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 |
| 1518.e2 |
1518f4 |
1518.e |
1518f |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{4} \cdot 3 \cdot 11^{4} \cdot 23^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$6072$ |
$48$ |
$0$ |
$1.282104036$ |
$1$ |
|
$6$ |
$1536$ |
$0.862744$ |
$444142553850073/196663299888$ |
$0.97178$ |
$4.60430$ |
$[1, 1, 0, -1589, -12483]$ |
\(y^2+xy=x^3+x^2-1589x-12483\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 12.24.0-12.h.1.2, 2024.24.0.?, 6072.48.0.? |
$[(-9, 39)]$ |
| 4554.u2 |
4554z3 |
4554.u |
4554z |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 23 \) |
\( 2^{4} \cdot 3^{7} \cdot 11^{4} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$6072$ |
$48$ |
$0$ |
$1.167775996$ |
$1$ |
|
$6$ |
$12288$ |
$1.412050$ |
$444142553850073/196663299888$ |
$0.97178$ |
$4.78632$ |
$[1, -1, 1, -14306, 322737]$ |
\(y^2+xy+y=x^3-x^2-14306x+322737\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 12.24.0-12.h.1.1, 2024.24.0.?, 6072.48.0.? |
$[(3, 527)]$ |
| 12144.bn2 |
12144bd3 |
12144.bn |
12144bd |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{16} \cdot 3 \cdot 11^{4} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$6072$ |
$48$ |
$0$ |
$6.876149583$ |
$1$ |
|
$1$ |
$36864$ |
$1.555891$ |
$444142553850073/196663299888$ |
$0.97178$ |
$4.47068$ |
$[0, 1, 0, -25432, 748052]$ |
\(y^2=x^3+x^2-25432x+748052\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 12.24.0-12.h.1.1, 2024.24.0.?, 6072.48.0.? |
$[(18748/7, 2355870/7)]$ |
| 16698.be2 |
16698bf3 |
16698.be |
16698bf |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 23 \) |
\( 2^{4} \cdot 3 \cdot 11^{10} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6072$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$184320$ |
$2.061691$ |
$444142553850073/196663299888$ |
$0.97178$ |
$4.94851$ |
$[1, 1, 1, -192332, 15653309]$ |
\(y^2+xy+y=x^3+x^2-192332x+15653309\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 44.12.0-4.c.1.2, 132.24.0.?, $\ldots$ |
$[]$ |
| 34914.b2 |
34914f3 |
34914.b |
34914f |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( 2^{4} \cdot 3 \cdot 11^{4} \cdot 23^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6072$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$811008$ |
$2.430492$ |
$444142553850073/196663299888$ |
$0.97178$ |
$5.02265$ |
$[1, 1, 0, -840856, 143472976]$ |
\(y^2+xy=x^3+x^2-840856x+143472976\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 88.12.0.?, 92.12.0.?, $\ldots$ |
$[]$ |
| 36432.r2 |
36432cs3 |
36432.r |
36432cs |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 23 \) |
\( 2^{16} \cdot 3^{7} \cdot 11^{4} \cdot 23^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$6072$ |
$48$ |
$0$ |
$2.810199847$ |
$1$ |
|
$9$ |
$294912$ |
$2.105198$ |
$444142553850073/196663299888$ |
$0.97178$ |
$4.63065$ |
$[0, 0, 0, -228891, -20426294]$ |
\(y^2=x^3-228891x-20426294\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 12.24.0-12.h.1.2, 2024.24.0.?, 6072.48.0.? |
$[(551, 4554)]$ |
| 37950.db2 |
37950cs3 |
37950.db |
37950cs |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 23 \) |
\( 2^{4} \cdot 3 \cdot 5^{6} \cdot 11^{4} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$30360$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$196608$ |
$1.667463$ |
$444142553850073/196663299888$ |
$0.97178$ |
$4.11454$ |
$[1, 0, 0, -39738, -1480908]$ |
\(y^2+xy=x^3-39738x-1480908\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 20.12.0-4.c.1.2, 60.24.0-12.h.1.2, $\ldots$ |
$[]$ |
| 48576.j2 |
48576cq3 |
48576.j |
48576cq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{22} \cdot 3 \cdot 11^{4} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$6072$ |
$48$ |
$0$ |
$1.450935878$ |
$1$ |
|
$3$ |
$294912$ |
$1.902466$ |
$444142553850073/196663299888$ |
$0.97178$ |
$4.28174$ |
$[0, -1, 0, -101729, 6086145]$ |
\(y^2=x^3-x^2-101729x+6086145\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0.h.1, 24.24.0-12.h.1.2, $\ldots$ |
$[(-147, 4224)]$ |
| 48576.cj2 |
48576bh3 |
48576.cj |
48576bh |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{22} \cdot 3 \cdot 11^{4} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$6072$ |
$48$ |
$0$ |
$5.578974123$ |
$1$ |
|
$1$ |
$294912$ |
$1.902466$ |
$444142553850073/196663299888$ |
$0.97178$ |
$4.28174$ |
$[0, 1, 0, -101729, -6086145]$ |
\(y^2=x^3+x^2-101729x-6086145\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0.h.1, 24.24.0-12.h.1.1, $\ldots$ |
$[(-782/3, 39169/3)]$ |
| 50094.k2 |
50094s3 |
50094.k |
50094s |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 23 \) |
\( 2^{4} \cdot 3^{7} \cdot 11^{10} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6072$ |
$48$ |
$0$ |
$3.018338300$ |
$1$ |
|
$2$ |
$1474560$ |
$2.611000$ |
$444142553850073/196663299888$ |
$0.97178$ |
$5.05525$ |
$[1, -1, 0, -1730988, -424370336]$ |
\(y^2+xy=x^3-x^2-1730988x-424370336\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 44.12.0-4.c.1.1, 132.24.0.?, $\ldots$ |
$[(-580, 19892)]$ |
| 74382.o2 |
74382t3 |
74382.o |
74382t |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 23 \) |
\( 2^{4} \cdot 3 \cdot 7^{6} \cdot 11^{4} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$42504$ |
$48$ |
$0$ |
$1.005996859$ |
$1$ |
|
$4$ |
$589824$ |
$1.835699$ |
$444142553850073/196663299888$ |
$0.97178$ |
$4.04767$ |
$[1, 0, 1, -77887, 4048034]$ |
\(y^2+xy+y=x^3-77887x+4048034\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 28.12.0-4.c.1.2, 84.24.0.?, $\ldots$ |
$[(267, 1384)]$ |
| 104742.cl2 |
104742cj3 |
104742.cl |
104742cj |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 23^{2} \) |
\( 2^{4} \cdot 3^{7} \cdot 11^{4} \cdot 23^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6072$ |
$48$ |
$0$ |
$4.188964809$ |
$1$ |
|
$2$ |
$6488064$ |
$2.979797$ |
$444142553850073/196663299888$ |
$0.97178$ |
$5.11554$ |
$[1, -1, 1, -7567709, -3881338059]$ |
\(y^2+xy+y=x^3-x^2-7567709x-3881338059\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 88.12.0.?, 92.12.0.?, $\ldots$ |
$[(-1857, 62292)]$ |
| 113850.bi2 |
113850bg3 |
113850.bi |
113850bg |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{6} \cdot 11^{4} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$30360$ |
$48$ |
$0$ |
$0.583496469$ |
$1$ |
|
$10$ |
$1572864$ |
$2.216770$ |
$444142553850073/196663299888$ |
$0.97178$ |
$4.29245$ |
$[1, -1, 0, -357642, 39984516]$ |
\(y^2+xy=x^3-x^2-357642x+39984516\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 20.12.0-4.c.1.1, 60.24.0-12.h.1.1, $\ldots$ |
$[(-216, 10458)]$ |
| 133584.ds2 |
133584bb3 |
133584.ds |
133584bb |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 23 \) |
\( 2^{16} \cdot 3 \cdot 11^{10} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6072$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$4423680$ |
$2.754841$ |
$444142553850073/196663299888$ |
$0.97178$ |
$4.78139$ |
$[0, 1, 0, -3077312, -1007966412]$ |
\(y^2=x^3+x^2-3077312x-1007966412\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 44.12.0-4.c.1.1, 132.24.0.?, $\ldots$ |
$[]$ |
| 145728.fq2 |
145728cn3 |
145728.fq |
145728cn |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 23 \) |
\( 2^{22} \cdot 3^{7} \cdot 11^{4} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$6072$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2359296$ |
$2.451771$ |
$444142553850073/196663299888$ |
$0.97178$ |
$4.44051$ |
$[0, 0, 0, -915564, -163410352]$ |
\(y^2=x^3-915564x-163410352\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0.h.1, 24.24.0-12.h.1.1, $\ldots$ |
$[]$ |
| 145728.ft2 |
145728ft4 |
145728.ft |
145728ft |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 23 \) |
\( 2^{22} \cdot 3^{7} \cdot 11^{4} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$6072$ |
$48$ |
$0$ |
$3.349240297$ |
$1$ |
|
$3$ |
$2359296$ |
$2.451771$ |
$444142553850073/196663299888$ |
$0.97178$ |
$4.44051$ |
$[0, 0, 0, -915564, 163410352]$ |
\(y^2=x^3-915564x+163410352\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0.h.1, 24.24.0-12.h.1.2, $\ldots$ |
$[(1076, 20592)]$ |
| 223146.ef2 |
223146bh3 |
223146.ef |
223146bh |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 23 \) |
\( 2^{4} \cdot 3^{7} \cdot 7^{6} \cdot 11^{4} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$42504$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4718592$ |
$2.385006$ |
$444142553850073/196663299888$ |
$0.97178$ |
$4.22183$ |
$[1, -1, 1, -700979, -109296925]$ |
\(y^2+xy+y=x^3-x^2-700979x-109296925\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 28.12.0-4.c.1.1, 84.24.0.?, $\ldots$ |
$[]$ |
| 256542.cb2 |
256542cb3 |
256542.cb |
256542cb |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 13^{2} \cdot 23 \) |
\( 2^{4} \cdot 3 \cdot 11^{4} \cdot 13^{6} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$78936$ |
$48$ |
$0$ |
$0.945335120$ |
$1$ |
|
$6$ |
$3538944$ |
$2.145218$ |
$444142553850073/196663299888$ |
$0.97178$ |
$3.94353$ |
$[1, 1, 1, -268629, -26082165]$ |
\(y^2+xy+y=x^3+x^2-268629x-26082165\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 52.12.0-4.c.1.2, 156.24.0.?, $\ldots$ |
$[(-411, 4092)]$ |
| 279312.ch2 |
279312ch3 |
279312.ch |
279312ch |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( 2^{16} \cdot 3 \cdot 11^{4} \cdot 23^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6072$ |
$48$ |
$0$ |
$11.56669022$ |
$1$ |
|
$1$ |
$19464192$ |
$3.123638$ |
$444142553850073/196663299888$ |
$0.97178$ |
$4.85307$ |
$[0, 1, 0, -13453704, -9209177868]$ |
\(y^2=x^3+x^2-13453704x-9209177868\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 88.12.0.?, 92.12.0.?, $\ldots$ |
$[(-16737677/81, 49043439764/81)]$ |
| 303600.ce2 |
303600ce4 |
303600.ce |
303600ce |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 23 \) |
\( 2^{16} \cdot 3 \cdot 5^{6} \cdot 11^{4} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$30360$ |
$48$ |
$0$ |
$4.570085468$ |
$1$ |
|
$3$ |
$4718592$ |
$2.360611$ |
$444142553850073/196663299888$ |
$0.97178$ |
$4.09567$ |
$[0, -1, 0, -635808, 94778112]$ |
\(y^2=x^3-x^2-635808x+94778112\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 20.12.0-4.c.1.1, 60.24.0-12.h.1.1, $\ldots$ |
$[(-238, 15250)]$ |
| 384054.cb2 |
384054cb3 |
384054.cb |
384054cb |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 23^{2} \) |
\( 2^{4} \cdot 3 \cdot 11^{10} \cdot 23^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$6072$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$97320960$ |
$3.629440$ |
$444142553850073/196663299888$ |
$0.97178$ |
$5.20491$ |
$[1, 1, 1, -101743639, -191471249155]$ |
\(y^2+xy+y=x^3+x^2-101743639x-191471249155\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0.h.1, 24.24.0-12.h.1.6, $\ldots$ |
$[]$ |
| 400752.bd2 |
400752bd4 |
400752.bd |
400752bd |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 23 \) |
\( 2^{16} \cdot 3^{7} \cdot 11^{10} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6072$ |
$48$ |
$0$ |
$1.908050117$ |
$1$ |
|
$7$ |
$35389440$ |
$3.304146$ |
$444142553850073/196663299888$ |
$0.97178$ |
$4.88516$ |
$[0, 0, 0, -27695811, 27187397314]$ |
\(y^2=x^3-27695811x+27187397314\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 44.12.0-4.c.1.2, 132.24.0.?, $\ldots$ |
$[(-1705, 263538)]$ |
| 417450.dj2 |
417450dj4 |
417450.dj |
417450dj |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 23 \) |
\( 2^{4} \cdot 3 \cdot 5^{6} \cdot 11^{10} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$30360$ |
$48$ |
$0$ |
$6.689488124$ |
$1$ |
|
$0$ |
$23592960$ |
$2.866409$ |
$444142553850073/196663299888$ |
$0.97178$ |
$4.46388$ |
$[1, 0, 1, -4808301, 1966280248]$ |
\(y^2+xy+y=x^3-4808301x+1966280248\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 220.12.0.?, 660.24.0.?, $\ldots$ |
$[(81037/4, 20825969/4)]$ |
| 438702.x2 |
438702x3 |
438702.x |
438702x |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 17^{2} \cdot 23 \) |
\( 2^{4} \cdot 3 \cdot 11^{4} \cdot 17^{6} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$103224$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7077888$ |
$2.279350$ |
$444142553850073/196663299888$ |
$0.97178$ |
$3.90456$ |
$[1, 0, 1, -459372, -58113734]$ |
\(y^2+xy+y=x^3-459372x-58113734\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 68.12.0-4.c.1.2, 204.24.0.?, $\ldots$ |
$[]$ |
