| 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 |
| 3570.v1 |
3570x4 |
3570.v |
3570x |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{7} \cdot 3^{5} \cdot 5 \cdot 7^{8} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.8 |
2B |
$2040$ |
$48$ |
$0$ |
$0.057505000$ |
$1$ |
|
$22$ |
$71680$ |
$2.151707$ |
$66464620505913166201729/74880071980801920$ |
$1.01114$ |
$6.42407$ |
$[1, 0, 0, -843896, 298027200]$ |
\(y^2+xy=x^3-843896x+298027200\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[(514, 100)]$ |
| 10710.o1 |
10710k3 |
10710.o |
10710k |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{7} \cdot 3^{11} \cdot 5 \cdot 7^{8} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$573440$ |
$2.701015$ |
$66464620505913166201729/74880071980801920$ |
$1.01114$ |
$6.37386$ |
$[1, -1, 0, -7595064, -8046734400]$ |
\(y^2+xy=x^3-x^2-7595064x-8046734400\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[]$ |
| 17850.c1 |
17850a4 |
17850.c |
17850a |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 2^{7} \cdot 3^{5} \cdot 5^{7} \cdot 7^{8} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2040$ |
$48$ |
$0$ |
$9.095659748$ |
$1$ |
|
$0$ |
$1720320$ |
$2.956429$ |
$66464620505913166201729/74880071980801920$ |
$1.01114$ |
$6.35435$ |
$[1, 1, 0, -21097400, 37253400000]$ |
\(y^2+xy=x^3+x^2-21097400x+37253400000\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[(46975/2, 9450175/2)]$ |
| 24990.bp1 |
24990bq4 |
24990.bp |
24990bq |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 2^{7} \cdot 3^{5} \cdot 5 \cdot 7^{14} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$3440640$ |
$3.124664$ |
$66464620505913166201729/74880071980801920$ |
$1.01114$ |
$6.34258$ |
$[1, 1, 1, -41350905, -102264680505]$ |
\(y^2+xy+y=x^3+x^2-41350905x-102264680505\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.1, 120.12.0.?, 136.12.0.?, $\ldots$ |
$[]$ |
| 28560.l1 |
28560cl4 |
28560.l |
28560cl |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{19} \cdot 3^{5} \cdot 5 \cdot 7^{8} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$2040$ |
$48$ |
$0$ |
$12.92925705$ |
$1$ |
|
$1$ |
$1720320$ |
$2.844856$ |
$66464620505913166201729/74880071980801920$ |
$1.01114$ |
$5.93276$ |
$[0, -1, 0, -13502336, -19073740800]$ |
\(y^2=x^3-x^2-13502336x-19073740800\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[(10093474/43, 21014561594/43)]$ |
| 53550.dq1 |
53550ds4 |
53550.dq |
53550ds |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 2^{7} \cdot 3^{11} \cdot 5^{7} \cdot 7^{8} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13762560$ |
$3.505733$ |
$66464620505913166201729/74880071980801920$ |
$1.01114$ |
$6.31860$ |
$[1, -1, 1, -189876605, -1006031676603]$ |
\(y^2+xy+y=x^3-x^2-189876605x-1006031676603\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 136.24.0.?, 2040.48.0.? |
$[]$ |
| 60690.bs1 |
60690bq4 |
60690.bs |
60690bq |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{7} \cdot 3^{5} \cdot 5 \cdot 7^{8} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2040$ |
$48$ |
$0$ |
$7.316355245$ |
$1$ |
|
$2$ |
$20643840$ |
$3.568314$ |
$66464620505913166201729/74880071980801920$ |
$1.01114$ |
$6.31498$ |
$[1, 1, 1, -243885950, 1464451519547]$ |
\(y^2+xy+y=x^3+x^2-243885950x+1464451519547\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 120.24.0.?, 136.24.0.?, $\ldots$ |
$[(9485, 63271)]$ |
| 74970.z1 |
74970bf4 |
74970.z |
74970bf |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 2^{7} \cdot 3^{11} \cdot 5 \cdot 7^{14} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$27525120$ |
$3.673969$ |
$66464620505913166201729/74880071980801920$ |
$1.01114$ |
$6.30905$ |
$[1, -1, 0, -372158145, 2760774215485]$ |
\(y^2+xy=x^3-x^2-372158145x+2760774215485\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 136.12.0.?, 140.12.0.?, $\ldots$ |
$[]$ |
| 85680.dh1 |
85680fa4 |
85680.dh |
85680fa |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{19} \cdot 3^{11} \cdot 5 \cdot 7^{8} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$13762560$ |
$3.394161$ |
$66464620505913166201729/74880071980801920$ |
$1.01114$ |
$5.93926$ |
$[0, 0, 0, -121521027, 515112522626]$ |
\(y^2=x^3-121521027x+515112522626\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[]$ |
| 114240.fk1 |
114240cn4 |
114240.fk |
114240cn |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{25} \cdot 3^{5} \cdot 5 \cdot 7^{8} \cdot 17^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$13762560$ |
$3.191429$ |
$66464620505913166201729/74880071980801920$ |
$1.01114$ |
$5.58366$ |
$[0, -1, 0, -54009345, 152643935745]$ |
\(y^2=x^3-x^2-54009345x+152643935745\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 120.24.0.?, 136.24.0.?, 2040.48.0.? |
$[]$ |
| 114240.it1 |
114240kk4 |
114240.it |
114240kk |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{25} \cdot 3^{5} \cdot 5 \cdot 7^{8} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$2040$ |
$48$ |
$0$ |
$8.389917007$ |
$1$ |
|
$3$ |
$13762560$ |
$3.191429$ |
$66464620505913166201729/74880071980801920$ |
$1.01114$ |
$5.58366$ |
$[0, 1, 0, -54009345, -152643935745]$ |
\(y^2=x^3+x^2-54009345x-152643935745\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 136.24.0.?, 2040.48.0.? |
$[(555153, 413600616)]$ |
| 124950.cn1 |
124950df4 |
124950.cn |
124950df |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( 2^{7} \cdot 3^{5} \cdot 5^{7} \cdot 7^{14} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$82575360$ |
$3.929382$ |
$66464620505913166201729/74880071980801920$ |
$1.01114$ |
$6.29560$ |
$[1, 0, 1, -1033772626, -12781017517852]$ |
\(y^2+xy+y=x^3-1033772626x-12781017517852\) |
2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 120.12.0.?, 136.12.0.?, $\ldots$ |
$[]$ |
| 142800.jg1 |
142800bz4 |
142800.jg |
142800bz |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 2^{19} \cdot 3^{5} \cdot 5^{7} \cdot 7^{8} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$41287680$ |
$3.649574$ |
$66464620505913166201729/74880071980801920$ |
$1.01114$ |
$5.94188$ |
$[0, 1, 0, -337558408, -2384892716812]$ |
\(y^2=x^3+x^2-337558408x-2384892716812\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[]$ |
| 182070.a1 |
182070db4 |
182070.a |
182070db |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{7} \cdot 3^{11} \cdot 5 \cdot 7^{8} \cdot 17^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$165150720$ |
$4.117622$ |
$66464620505913166201729/74880071980801920$ |
$1.01114$ |
$6.28641$ |
$[1, -1, 0, -2194973550, -39542386001324]$ |
\(y^2+xy=x^3-x^2-2194973550x-39542386001324\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.6, 120.24.0.?, $\ldots$ |
$[]$ |
| 199920.hq1 |
199920x3 |
199920.hq |
199920x |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 2^{19} \cdot 3^{5} \cdot 5 \cdot 7^{14} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$9.755196284$ |
$1$ |
|
$3$ |
$82575360$ |
$3.817810$ |
$66464620505913166201729/74880071980801920$ |
$1.01114$ |
$5.94348$ |
$[0, 1, 0, -661614480, 6543616323348]$ |
\(y^2=x^3+x^2-661614480x+6543616323348\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.2, 120.12.0.?, 136.12.0.?, $\ldots$ |
$[(131508, 46839078)]$ |
| 303450.dj1 |
303450dj3 |
303450.dj |
303450dj |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \) |
\( 2^{7} \cdot 3^{5} \cdot 5^{7} \cdot 7^{8} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2040$ |
$48$ |
$0$ |
$1.549261800$ |
$1$ |
|
$6$ |
$495452160$ |
$4.373032$ |
$66464620505913166201729/74880071980801920$ |
$1.01114$ |
$6.27482$ |
$[1, 0, 1, -6097148751, 183068634240898]$ |
\(y^2+xy+y=x^3-6097148751x+183068634240898\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.4, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$ |
$[(9782, 11146896)]$ |
| 342720.dq1 |
342720dq3 |
342720.dq |
342720dq |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{25} \cdot 3^{11} \cdot 5 \cdot 7^{8} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2040$ |
$48$ |
$0$ |
$7.824420487$ |
$1$ |
|
$1$ |
$110100480$ |
$3.740734$ |
$66464620505913166201729/74880071980801920$ |
$1.01114$ |
$5.61955$ |
$[0, 0, 0, -486084108, 4120900181008]$ |
\(y^2=x^3-486084108x+4120900181008\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[(15645602/23, 48079464192/23)]$ |
| 342720.el1 |
342720el4 |
342720.el |
342720el |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{25} \cdot 3^{11} \cdot 5 \cdot 7^{8} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2040$ |
$48$ |
$0$ |
$16.36383230$ |
$1$ |
|
$1$ |
$110100480$ |
$3.740734$ |
$66464620505913166201729/74880071980801920$ |
$1.01114$ |
$5.61955$ |
$[0, 0, 0, -486084108, -4120900181008]$ |
\(y^2=x^3-486084108x-4120900181008\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[(630951949/79, 15434851381677/79)]$ |
| 374850.oh1 |
374850oh3 |
374850.oh |
374850oh |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( 2^{7} \cdot 3^{11} \cdot 5^{7} \cdot 7^{14} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$660602880$ |
$4.478691$ |
$66464620505913166201729/74880071980801920$ |
$1.01114$ |
$6.27029$ |
$[1, -1, 1, -9303953630, 345087472981997]$ |
\(y^2+xy+y=x^3-x^2-9303953630x+345087472981997\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 120.12.0.?, 136.12.0.?, $\ldots$ |
$[]$ |
| 424830.hj1 |
424830hj4 |
424830.hj |
424830hj |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( 2^{7} \cdot 3^{5} \cdot 5 \cdot 7^{14} \cdot 17^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$990904320$ |
$4.541267$ |
$66464620505913166201729/74880071980801920$ |
$1.01114$ |
$6.26768$ |
$[1, 0, 0, -11950411551, -502342722439335]$ |
\(y^2+xy=x^3-11950411551x-502342722439335\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.5, 120.12.0.?, 136.12.0.?, $\ldots$ |
$[]$ |
| 428400.jc1 |
428400jc3 |
428400.jc |
428400jc |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 2^{19} \cdot 3^{11} \cdot 5^{7} \cdot 7^{8} \cdot 17^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$2040$ |
$48$ |
$0$ |
$3.485624819$ |
$1$ |
|
$9$ |
$330301440$ |
$4.198883$ |
$66464620505913166201729/74880071980801920$ |
$1.01114$ |
$5.94680$ |
$[0, 0, 0, -3038025675, 64389065328250]$ |
\(y^2=x^3-3038025675x+64389065328250\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 120.24.0.?, 136.24.0.?, 2040.48.0.? |
$[(34310, 737100)]$ |
| 431970.bz1 |
431970bz4 |
431970.bz |
431970bz |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 17 \) |
\( 2^{7} \cdot 3^{5} \cdot 5 \cdot 7^{8} \cdot 11^{6} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$22440$ |
$48$ |
$0$ |
$3.583032120$ |
$4$ |
$2$ |
$4$ |
$91750400$ |
$3.350655$ |
$66464620505913166201729/74880071980801920$ |
$1.01114$ |
$5.15858$ |
$[1, 0, 1, -102111419, -396776314618]$ |
\(y^2+xy+y=x^3-102111419x-396776314618\) |
2.3.0.a.1, 4.6.0.c.1, 88.12.0.?, 120.12.0.?, 136.12.0.?, $\ldots$ |
$[(-5910, 19861)]$ |
| 485520.ho1 |
485520ho4 |
485520.ho |
485520ho |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{19} \cdot 3^{5} \cdot 5 \cdot 7^{8} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2040$ |
$48$ |
$0$ |
$6.203729298$ |
$1$ |
|
$3$ |
$495452160$ |
$4.261459$ |
$66464620505913166201729/74880071980801920$ |
$1.01114$ |
$5.94731$ |
$[0, 1, 0, -3902175200, -93732701601420]$ |
\(y^2=x^3+x^2-3902175200x-93732701601420\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 120.24.0.?, 136.24.0.?, $\ldots$ |
$[(80668, 10790094)]$ |
