| 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 |
| 3990.l2 |
3990l3 |
3990.l |
3990l |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{3} \cdot 3^{28} \cdot 5 \cdot 7^{2} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$1.028559793$ |
$1$ |
|
$6$ |
$64512$ |
$2.146687$ |
$2934284984699764805929/851931751022747640$ |
$1.00601$ |
$5.96158$ |
$[1, 0, 1, -298259, -44281834]$ |
\(y^2+xy+y=x^3-298259x-44281834\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.3, 120.24.0.?, $\ldots$ |
$[(-264, 4141)]$ |
| 11970.bq2 |
11970cd4 |
11970.bq |
11970cd |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{3} \cdot 3^{34} \cdot 5 \cdot 7^{2} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2280$ |
$48$ |
$0$ |
$7.709502981$ |
$1$ |
|
$2$ |
$516096$ |
$2.695992$ |
$2934284984699764805929/851931751022747640$ |
$1.00601$ |
$5.96608$ |
$[1, -1, 1, -2684327, 1195609511]$ |
\(y^2+xy+y=x^3-x^2-2684327x+1195609511\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[(3145, 152872)]$ |
| 19950.cn2 |
19950ce3 |
19950.cn |
19950ce |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( 2^{3} \cdot 3^{28} \cdot 5^{7} \cdot 7^{2} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1548288$ |
$2.951405$ |
$2934284984699764805929/851931751022747640$ |
$1.00601$ |
$5.96783$ |
$[1, 1, 1, -7456463, -5535229219]$ |
\(y^2+xy+y=x^3+x^2-7456463x-5535229219\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 456.24.0.?, 760.24.0.?, $\ldots$ |
$[ ]$ |
| 27930.u2 |
27930q3 |
27930.u |
27930q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) |
\( 2^{3} \cdot 3^{28} \cdot 5 \cdot 7^{8} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15960$ |
$48$ |
$0$ |
$20.11541425$ |
$1$ |
|
$0$ |
$3096576$ |
$3.119640$ |
$2934284984699764805929/851931751022747640$ |
$1.00601$ |
$5.96889$ |
$[1, 1, 0, -14614667, 15174054309]$ |
\(y^2+xy=x^3+x^2-14614667x+15174054309\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 140.12.0.?, 168.12.0.?, $\ldots$ |
$[(3741383715/253, 227896548794856/253)]$ |
| 31920.k2 |
31920z3 |
31920.k |
31920z |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{15} \cdot 3^{28} \cdot 5 \cdot 7^{2} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$7.377832472$ |
$1$ |
|
$3$ |
$1548288$ |
$2.839832$ |
$2934284984699764805929/851931751022747640$ |
$1.00601$ |
$5.56828$ |
$[0, -1, 0, -4772136, 2834037360]$ |
\(y^2=x^3-x^2-4772136x+2834037360\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.3, 120.24.0.?, $\ldots$ |
$[(3721, 191268)]$ |
| 59850.cb2 |
59850cl3 |
59850.cb |
59850cl |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( 2^{3} \cdot 3^{34} \cdot 5^{7} \cdot 7^{2} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$12386304$ |
$3.500710$ |
$2934284984699764805929/851931751022747640$ |
$1.00601$ |
$5.97104$ |
$[1, -1, 0, -67108167, 149384080741]$ |
\(y^2+xy=x^3-x^2-67108167x+149384080741\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$ |
$[ ]$ |
| 75810.cc2 |
75810cc3 |
75810.cc |
75810cc |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2^{3} \cdot 3^{28} \cdot 5 \cdot 7^{2} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$2280$ |
$48$ |
$0$ |
$21.61882139$ |
$1$ |
|
$0$ |
$23224320$ |
$3.618904$ |
$2934284984699764805929/851931751022747640$ |
$1.00601$ |
$5.97165$ |
$[1, 1, 1, -107671326, 303513755043]$ |
\(y^2+xy+y=x^3+x^2-107671326x+303513755043\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 120.24.0.?, 380.12.0.?, $\ldots$ |
$[(70944034879/1005, 18661725169113373/1005)]$ |
| 83790.cw2 |
83790dx3 |
83790.cw |
83790dx |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 19 \) |
\( 2^{3} \cdot 3^{34} \cdot 5 \cdot 7^{8} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15960$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$24772608$ |
$3.668949$ |
$2934284984699764805929/851931751022747640$ |
$1.00601$ |
$5.97190$ |
$[1, -1, 1, -131532008, -409830998349]$ |
\(y^2+xy+y=x^3-x^2-131532008x-409830998349\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.5, 120.12.0.?, 420.12.0.?, $\ldots$ |
$[ ]$ |
| 95760.fl2 |
95760ff3 |
95760.fl |
95760ff |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{15} \cdot 3^{34} \cdot 5 \cdot 7^{2} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2280$ |
$48$ |
$0$ |
$8.167193779$ |
$4$ |
$2$ |
$3$ |
$12386304$ |
$3.389141$ |
$2934284984699764805929/851931751022747640$ |
$1.00601$ |
$5.60963$ |
$[0, 0, 0, -42949227, -76476059494]$ |
\(y^2=x^3-42949227x-76476059494\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[(15095, 1647646)]$ |
| 127680.bw2 |
127680x3 |
127680.bw |
127680x |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{21} \cdot 3^{28} \cdot 5 \cdot 7^{2} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$12386304$ |
$3.186405$ |
$2934284984699764805929/851931751022747640$ |
$1.00601$ |
$5.26545$ |
$[0, -1, 0, -19088545, -22653210335]$ |
\(y^2=x^3-x^2-19088545x-22653210335\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 40.12.0-4.c.1.1, 76.12.0.?, $\ldots$ |
$[ ]$ |
| 127680.gm2 |
127680gq3 |
127680.gm |
127680gq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{21} \cdot 3^{28} \cdot 5 \cdot 7^{2} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$12386304$ |
$3.186405$ |
$2934284984699764805929/851931751022747640$ |
$1.00601$ |
$5.26545$ |
$[0, 1, 0, -19088545, 22653210335]$ |
\(y^2=x^3+x^2-19088545x+22653210335\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 40.12.0-4.c.1.2, 76.12.0.?, $\ldots$ |
$[ ]$ |
| 139650.jf2 |
139650cm3 |
139650.jf |
139650cm |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( 2^{3} \cdot 3^{28} \cdot 5^{7} \cdot 7^{8} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15960$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$74317824$ |
$3.924358$ |
$2934284984699764805929/851931751022747640$ |
$1.00601$ |
$5.97311$ |
$[1, 0, 0, -365366688, 1897487521992]$ |
\(y^2+xy=x^3-365366688x+1897487521992\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 120.12.0.?, 456.12.0.?, $\ldots$ |
$[ ]$ |
| 159600.dt2 |
159600bv3 |
159600.dt |
159600bv |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( 2^{15} \cdot 3^{28} \cdot 5^{7} \cdot 7^{2} \cdot 19 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$2280$ |
$48$ |
$0$ |
$4.848091982$ |
$1$ |
|
$7$ |
$37158912$ |
$3.644554$ |
$2934284984699764805929/851931751022747640$ |
$1.00601$ |
$5.62627$ |
$[0, 1, 0, -119303408, 354016063188]$ |
\(y^2=x^3+x^2-119303408x+354016063188\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 120.24.0.?, 456.24.0.?, 760.24.0.?, $\ldots$ |
$[(9004, 99306)]$ |
| 223440.fq2 |
223440f4 |
223440.fq |
223440f |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) |
\( 2^{15} \cdot 3^{28} \cdot 5 \cdot 7^{8} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15960$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$74317824$ |
$3.812790$ |
$2934284984699764805929/851931751022747640$ |
$1.00601$ |
$5.63648$ |
$[0, 1, 0, -233834680, -971607145132]$ |
\(y^2=x^3+x^2-233834680x-971607145132\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 140.12.0.?, 168.12.0.?, $\ldots$ |
$[ ]$ |
| 227430.bn2 |
227430dy4 |
227430.bn |
227430dy |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2^{3} \cdot 3^{34} \cdot 5 \cdot 7^{2} \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$185794560$ |
$4.168213$ |
$2934284984699764805929/851931751022747640$ |
$1.00601$ |
$5.97418$ |
$[1, -1, 0, -969041934, -8195840428100]$ |
\(y^2+xy=x^3-x^2-969041934x-8195840428100\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 40.12.0-4.c.1.6, 120.24.0.?, $\ldots$ |
$[ ]$ |
| 379050.fb2 |
379050fb3 |
379050.fb |
379050fb |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( 2^{3} \cdot 3^{28} \cdot 5^{7} \cdot 7^{2} \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$557383680$ |
$4.423622$ |
$2934284984699764805929/851931751022747640$ |
$1.00601$ |
$5.97520$ |
$[1, 0, 1, -2691783151, 37944602946698]$ |
\(y^2+xy+y=x^3-2691783151x+37944602946698\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.4, 40.12.0-4.c.1.2, 76.12.0.?, $\ldots$ |
$[ ]$ |
| 383040.dd2 |
383040dd3 |
383040.dd |
383040dd |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{21} \cdot 3^{34} \cdot 5 \cdot 7^{2} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$99090432$ |
$3.735714$ |
$2934284984699764805929/851931751022747640$ |
$1.00601$ |
$5.32822$ |
$[0, 0, 0, -171796908, 611808475952]$ |
\(y^2=x^3-171796908x+611808475952\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 120.24.0.?, 228.12.0.?, $\ldots$ |
$[ ]$ |
| 383040.ee2 |
383040ee4 |
383040.ee |
383040ee |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{21} \cdot 3^{34} \cdot 5 \cdot 7^{2} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$2280$ |
$48$ |
$0$ |
$10.79152503$ |
$4$ |
$2$ |
$1$ |
$99090432$ |
$3.735714$ |
$2934284984699764805929/851931751022747640$ |
$1.00601$ |
$5.32822$ |
$[0, 0, 0, -171796908, -611808475952]$ |
\(y^2=x^3-171796908x-611808475952\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 120.24.0.?, 228.12.0.?, $\ldots$ |
$[(-28671/2, 4010657/2)]$ |
| 418950.x2 |
418950x4 |
418950.x |
418950x |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( 2^{3} \cdot 3^{34} \cdot 5^{7} \cdot 7^{8} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15960$ |
$48$ |
$0$ |
$12.30181698$ |
$1$ |
|
$0$ |
$594542592$ |
$4.473663$ |
$2934284984699764805929/851931751022747640$ |
$1.00601$ |
$5.97539$ |
$[1, -1, 0, -3288300192, -51232163093784]$ |
\(y^2+xy=x^3-x^2-3288300192x-51232163093784\) |
2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 120.12.0.?, 280.12.0.?, $\ldots$ |
$[(-4686779/12, 8005809449/12)]$ |
| 478800.gt2 |
478800gt4 |
478800.gt |
478800gt |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 19 \) |
\( 2^{15} \cdot 3^{34} \cdot 5^{7} \cdot 7^{2} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$22.39664607$ |
$1$ |
|
$1$ |
$297271296$ |
$4.193855$ |
$2934284984699764805929/851931751022747640$ |
$1.00601$ |
$5.65767$ |
$[0, 0, 0, -1073730675, -9559507436750]$ |
\(y^2=x^3-1073730675x-9559507436750\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$ |
$[(-18873914105/1377, 984170259666550/1377)]$ |
| 482790.hh2 |
482790hh3 |
482790.hh |
482790hh |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 19 \) |
\( 2^{3} \cdot 3^{28} \cdot 5 \cdot 7^{2} \cdot 11^{6} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$25080$ |
$48$ |
$0$ |
$1.248319092$ |
$1$ |
|
$6$ |
$82575360$ |
$3.345634$ |
$2934284984699764805929/851931751022747640$ |
$1.00601$ |
$4.87633$ |
$[1, 0, 0, -36089281, 58903031441]$ |
\(y^2+xy=x^3-36089281x+58903031441\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 220.12.0.?, 264.12.0.?, $\ldots$ |
$[(6548, 318215)]$ |
