| 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 |
| 2415.h3 |
2415e4 |
2415.h |
2415e |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 3 \cdot 5^{4} \cdot 7 \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1408$ |
$0.518334$ |
$-483551781049/3672913125$ |
$0.91701$ |
$3.79390$ |
$[1, 0, 1, -164, 3011]$ |
\(y^2+xy+y=x^3-164x+3011\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 28.12.0-4.c.1.2, 84.24.0.?, $\ldots$ |
$[]$ |
| 7245.h3 |
7245t4 |
7245.h |
7245t |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 3^{7} \cdot 5^{4} \cdot 7 \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11264$ |
$1.067640$ |
$-483551781049/3672913125$ |
$0.91701$ |
$4.06658$ |
$[1, -1, 1, -1472, -81304]$ |
\(y^2+xy+y=x^3-x^2-1472x-81304\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 84.24.0.?, 2760.24.0.?, 6440.24.0.?, $\ldots$ |
$[]$ |
| 12075.f3 |
12075d4 |
12075.f |
12075d |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 3 \cdot 5^{10} \cdot 7 \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1.582938520$ |
$1$ |
|
$4$ |
$33792$ |
$1.323053$ |
$-483551781049/3672913125$ |
$0.91701$ |
$4.17166$ |
$[1, 1, 1, -4088, 376406]$ |
\(y^2+xy+y=x^3+x^2-4088x+376406\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.1, 84.12.0.?, 140.12.0.?, $\ldots$ |
$[(41, 508)]$ |
| 16905.w3 |
16905p4 |
16905.w |
16905p |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 3 \cdot 5^{4} \cdot 7^{7} \cdot 23^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$67584$ |
$1.491289$ |
$-483551781049/3672913125$ |
$0.91701$ |
$4.23485$ |
$[1, 1, 0, -8012, -1040871]$ |
\(y^2+xy=x^3+x^2-8012x-1040871\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 84.24.0.?, 2760.24.0.?, 6440.24.0.?, $\ldots$ |
$[]$ |
| 36225.bp3 |
36225bi3 |
36225.bp |
36225bi |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 3^{7} \cdot 5^{10} \cdot 7 \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$2.699919133$ |
$1$ |
|
$0$ |
$270336$ |
$1.872358$ |
$-483551781049/3672913125$ |
$0.91701$ |
$4.36301$ |
$[1, -1, 0, -36792, -10199759]$ |
\(y^2+xy=x^3-x^2-36792x-10199759\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 84.12.0.?, 420.24.0.?, $\ldots$ |
$[(2471/2, 111379/2)]$ |
| 38640.o3 |
38640bf3 |
38640.o |
38640bf |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{12} \cdot 3 \cdot 5^{4} \cdot 7 \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$90112$ |
$1.211481$ |
$-483551781049/3672913125$ |
$0.91701$ |
$3.58550$ |
$[0, -1, 0, -2616, -192720]$ |
\(y^2=x^3-x^2-2616x-192720\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 28.12.0-4.c.1.1, 84.24.0.?, $\ldots$ |
$[]$ |
| 50715.q3 |
50715s3 |
50715.q |
50715s |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 3^{7} \cdot 5^{4} \cdot 7^{7} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$0.907758817$ |
$1$ |
|
$6$ |
$540672$ |
$2.040596$ |
$-483551781049/3672913125$ |
$0.91701$ |
$4.41385$ |
$[1, -1, 1, -72113, 28031406]$ |
\(y^2+xy+y=x^3-x^2-72113x+28031406\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 28.12.0-4.c.1.1, 84.24.0.?, $\ldots$ |
$[(-250, 5637)]$ |
| 55545.v3 |
55545t3 |
55545.v |
55545t |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 3 \cdot 5^{4} \cdot 7 \cdot 23^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$743424$ |
$2.086082$ |
$-483551781049/3672913125$ |
$0.91701$ |
$4.42706$ |
$[1, 0, 1, -86503, -36810877]$ |
\(y^2+xy+y=x^3-86503x-36810877\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 84.12.0.?, 276.12.0.?, $\ldots$ |
$[]$ |
| 84525.r3 |
84525ca3 |
84525.r |
84525ca |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 3 \cdot 5^{10} \cdot 7^{7} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$12.51760343$ |
$1$ |
|
$0$ |
$1622016$ |
$2.296009$ |
$-483551781049/3672913125$ |
$0.91701$ |
$4.48527$ |
$[1, 0, 0, -200313, -129708258]$ |
\(y^2+xy=x^3-200313x-129708258\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 84.12.0.?, 420.24.0.?, $\ldots$ |
$[(4590403/78, 5610090533/78)]$ |
| 115920.cq3 |
115920eo3 |
115920.cq |
115920eo |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{12} \cdot 3^{7} \cdot 5^{4} \cdot 7 \cdot 23^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$19320$ |
$48$ |
$0$ |
$2.205149760$ |
$1$ |
|
$9$ |
$720896$ |
$1.760788$ |
$-483551781049/3672913125$ |
$0.91701$ |
$3.81298$ |
$[0, 0, 0, -23547, 5226986]$ |
\(y^2=x^3-23547x+5226986\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 84.24.0.?, 2760.24.0.?, 6440.24.0.?, $\ldots$ |
$[(7, 2250)]$ |
| 154560.ec3 |
154560gp4 |
154560.ec |
154560gp |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{18} \cdot 3 \cdot 5^{4} \cdot 7 \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$720896$ |
$1.558054$ |
$-483551781049/3672913125$ |
$0.91701$ |
$3.51756$ |
$[0, -1, 0, -10465, 1552225]$ |
\(y^2=x^3-x^2-10465x+1552225\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 56.12.0-4.c.1.1, 84.12.0.?, $\ldots$ |
$[]$ |
| 154560.gh3 |
154560m3 |
154560.gh |
154560m |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{18} \cdot 3 \cdot 5^{4} \cdot 7 \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$720896$ |
$1.558054$ |
$-483551781049/3672913125$ |
$0.91701$ |
$3.51756$ |
$[0, 1, 0, -10465, -1552225]$ |
\(y^2=x^3+x^2-10465x-1552225\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 56.12.0-4.c.1.2, 84.12.0.?, $\ldots$ |
$[]$ |
| 166635.m3 |
166635o4 |
166635.m |
166635o |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 3^{7} \cdot 5^{4} \cdot 7 \cdot 23^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$6.063497094$ |
$1$ |
|
$0$ |
$5947392$ |
$2.635387$ |
$-483551781049/3672913125$ |
$0.91701$ |
$4.57078$ |
$[1, -1, 1, -778523, 993893672]$ |
\(y^2+xy+y=x^3-x^2-778523x+993893672\) |
2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 92.12.0.?, 120.12.0.?, $\ldots$ |
$[(3087/2, 230459/2)]$ |
| 193200.hh3 |
193200br3 |
193200.hh |
193200br |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{12} \cdot 3 \cdot 5^{10} \cdot 7 \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$10.10099735$ |
$1$ |
|
$1$ |
$2162688$ |
$2.016201$ |
$-483551781049/3672913125$ |
$0.91701$ |
$3.90477$ |
$[0, 1, 0, -65408, -24220812]$ |
\(y^2=x^3+x^2-65408x-24220812\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.2, 84.12.0.?, 140.12.0.?, $\ldots$ |
$[(46948/3, 10160326/3)]$ |
| 253575.fd3 |
253575fd4 |
253575.fd |
253575fd |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
\( - 3^{7} \cdot 5^{10} \cdot 7^{7} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12976128$ |
$2.845314$ |
$-483551781049/3672913125$ |
$0.91701$ |
$4.61900$ |
$[1, -1, 0, -1802817, 3502122966]$ |
\(y^2+xy=x^3-x^2-1802817x+3502122966\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.2, 84.12.0.?, 140.12.0.?, $\ldots$ |
$[]$ |
| 270480.jl3 |
270480jl4 |
270480.jl |
270480jl |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{12} \cdot 3 \cdot 5^{4} \cdot 7^{7} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$19320$ |
$48$ |
$0$ |
$5.993472485$ |
$1$ |
|
$1$ |
$4325376$ |
$2.184437$ |
$-483551781049/3672913125$ |
$0.91701$ |
$3.96113$ |
$[0, 1, 0, -128200, 66359348]$ |
\(y^2=x^3+x^2-128200x+66359348\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 84.24.0.?, 2760.24.0.?, 6440.24.0.?, $\ldots$ |
$[(26044/3, 4177250/3)]$ |
| 277725.t3 |
277725t3 |
277725.t |
277725t |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3 \cdot 5^{10} \cdot 7 \cdot 23^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$19320$ |
$48$ |
$0$ |
$23.96558109$ |
$1$ |
|
$0$ |
$17842176$ |
$2.890800$ |
$-483551781049/3672913125$ |
$0.91701$ |
$4.62902$ |
$[1, 1, 1, -2162563, -4601359594]$ |
\(y^2+xy+y=x^3+x^2-2162563x-4601359594\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 84.12.0.?, 168.24.0.?, $\ldots$ |
$[(484615695495/11426, 290061794445082427/11426)]$ |
| 292215.j3 |
292215j3 |
292215.j |
292215j |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 3 \cdot 5^{4} \cdot 7 \cdot 11^{6} \cdot 23^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$212520$ |
$48$ |
$0$ |
$7.199617202$ |
$1$ |
|
$6$ |
$1802240$ |
$1.717281$ |
$-483551781049/3672913125$ |
$0.91701$ |
$3.49137$ |
$[1, 0, 0, -19786, -4027759]$ |
\(y^2+xy=x^3-19786x-4027759\) |
2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 132.12.0.?, 308.12.0.?, $\ldots$ |
$[(769, 20488), (5323, 385567)]$ |
| 388815.cy3 |
388815cy4 |
388815.cy |
388815cy |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 23^{2} \) |
\( - 3 \cdot 5^{4} \cdot 7^{7} \cdot 23^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$18.00661374$ |
$1$ |
|
$0$ |
$35684352$ |
$3.059036$ |
$-483551781049/3672913125$ |
$0.91701$ |
$4.66487$ |
$[1, 1, 0, -4238623, 12621892102]$ |
\(y^2+xy=x^3+x^2-4238623x+12621892102\) |
2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 92.12.0.?, 120.12.0.?, $\ldots$ |
$[(-757041429/754, 54349592912233/754)]$ |
| 408135.r3 |
408135r4 |
408135.r |
408135r |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 3 \cdot 5^{4} \cdot 7 \cdot 13^{6} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$251160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3244032$ |
$1.800808$ |
$-483551781049/3672913125$ |
$0.91701$ |
$3.47866$ |
$[1, 0, 0, -27635, 6643350]$ |
\(y^2+xy=x^3-27635x+6643350\) |
2.3.0.a.1, 4.6.0.c.1, 84.12.0.?, 156.12.0.?, 364.12.0.?, $\ldots$ |
$[]$ |
| 463680.db3 |
463680db4 |
463680.db |
463680db |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{18} \cdot 3^{7} \cdot 5^{4} \cdot 7 \cdot 23^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$19320$ |
$48$ |
$0$ |
$3.833191704$ |
$1$ |
|
$13$ |
$5767168$ |
$2.107361$ |
$-483551781049/3672913125$ |
$0.91701$ |
$3.72660$ |
$[0, 0, 0, -94188, 41815888]$ |
\(y^2=x^3-94188x+41815888\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 84.12.0.?, 168.24.0.?, $\ldots$ |
$[(-22, 6624), (33098, 6021216)]$ |
| 463680.ec3 |
463680ec3 |
463680.ec |
463680ec |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{18} \cdot 3^{7} \cdot 5^{4} \cdot 7 \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$19320$ |
$48$ |
$0$ |
$6.089029890$ |
$1$ |
|
$3$ |
$5767168$ |
$2.107361$ |
$-483551781049/3672913125$ |
$0.91701$ |
$3.72660$ |
$[0, 0, 0, -94188, -41815888]$ |
\(y^2=x^3-94188x-41815888\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 84.12.0.?, 168.24.0.?, $\ldots$ |
$[(632, 12292)]$ |
