| 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 |
| 1554.n2 |
1554m1 |
1554.n |
1554m |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 37 \) |
\( - 2^{12} \cdot 3 \cdot 7^{2} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$3108$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$480$ |
$0.163505$ |
$-351447414193/22278144$ |
$0.98886$ |
$3.63189$ |
$[1, 0, 0, -147, -735]$ |
\(y^2+xy=x^3-147x-735\) |
2.3.0.a.1, 28.6.0.b.1, 222.6.0.?, 3108.12.0.? |
$[]$ |
| 4662.b2 |
4662g1 |
4662.b |
4662g |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 37 \) |
\( - 2^{12} \cdot 3^{7} \cdot 7^{2} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3108$ |
$12$ |
$0$ |
$1.035425731$ |
$1$ |
|
$9$ |
$3840$ |
$0.712811$ |
$-351447414193/22278144$ |
$0.98886$ |
$3.93988$ |
$[1, -1, 0, -1323, 19845]$ |
\(y^2+xy=x^3-x^2-1323x+19845\) |
2.3.0.a.1, 28.6.0.b.1, 222.6.0.?, 3108.12.0.? |
$[(21, 21)]$ |
| 10878.x2 |
10878bd1 |
10878.x |
10878bd |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 37 \) |
\( - 2^{12} \cdot 3 \cdot 7^{8} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3108$ |
$12$ |
$0$ |
$0.528550759$ |
$1$ |
|
$7$ |
$23040$ |
$1.136461$ |
$-351447414193/22278144$ |
$0.98886$ |
$4.12768$ |
$[1, 1, 1, -7204, 244901]$ |
\(y^2+xy+y=x^3+x^2-7204x+244901\) |
2.3.0.a.1, 28.6.0.b.1, 222.6.0.?, 3108.12.0.? |
$[(13, 385)]$ |
| 12432.v2 |
12432z1 |
12432.v |
12432z |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 37 \) |
\( - 2^{24} \cdot 3 \cdot 7^{2} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3108$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$11520$ |
$0.856652$ |
$-351447414193/22278144$ |
$0.98886$ |
$3.71308$ |
$[0, -1, 0, -2352, 47040]$ |
\(y^2=x^3-x^2-2352x+47040\) |
2.3.0.a.1, 28.6.0.b.1, 222.6.0.?, 3108.12.0.? |
$[]$ |
| 32634.bc2 |
32634u1 |
32634.bc |
32634u |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 37 \) |
\( - 2^{12} \cdot 3^{7} \cdot 7^{8} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3108$ |
$12$ |
$0$ |
$3.749742361$ |
$1$ |
|
$5$ |
$184320$ |
$1.685766$ |
$-351447414193/22278144$ |
$0.98886$ |
$4.32560$ |
$[1, -1, 0, -64836, -6677168]$ |
\(y^2+xy=x^3-x^2-64836x-6677168\) |
2.3.0.a.1, 28.6.0.b.1, 222.6.0.?, 3108.12.0.? |
$[(639, 14258)]$ |
| 37296.j2 |
37296bq1 |
37296.j |
37296bq |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 37 \) |
\( - 2^{24} \cdot 3^{7} \cdot 7^{2} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3108$ |
$12$ |
$0$ |
$3.270453681$ |
$1$ |
|
$5$ |
$92160$ |
$1.405958$ |
$-351447414193/22278144$ |
$0.98886$ |
$3.95176$ |
$[0, 0, 0, -21171, -1248910]$ |
\(y^2=x^3-21171x-1248910\) |
2.3.0.a.1, 28.6.0.b.1, 222.6.0.?, 3108.12.0.? |
$[(190, 1260)]$ |
| 38850.h2 |
38850e1 |
38850.h |
38850e |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( - 2^{12} \cdot 3 \cdot 5^{6} \cdot 7^{2} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3108$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$61440$ |
$0.968225$ |
$-351447414193/22278144$ |
$0.98886$ |
$3.43942$ |
$[1, 1, 0, -3675, -91875]$ |
\(y^2+xy=x^3+x^2-3675x-91875\) |
2.3.0.a.1, 28.6.0.b.1, 222.6.0.?, 3108.12.0.? |
$[]$ |
| 49728.p2 |
49728bd1 |
49728.p |
49728bd |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 37 \) |
\( - 2^{30} \cdot 3 \cdot 7^{2} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3108$ |
$12$ |
$0$ |
$6.926634052$ |
$1$ |
|
$3$ |
$92160$ |
$1.203226$ |
$-351447414193/22278144$ |
$0.98886$ |
$3.62167$ |
$[0, -1, 0, -9409, -366911]$ |
\(y^2=x^3-x^2-9409x-366911\) |
2.3.0.a.1, 28.6.0.b.1, 222.6.0.?, 3108.12.0.? |
$[(2640, 135527)]$ |
| 49728.cw2 |
49728ek1 |
49728.cw |
49728ek |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 37 \) |
\( - 2^{30} \cdot 3 \cdot 7^{2} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3108$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$92160$ |
$1.203226$ |
$-351447414193/22278144$ |
$0.98886$ |
$3.62167$ |
$[0, 1, 0, -9409, 366911]$ |
\(y^2=x^3+x^2-9409x+366911\) |
2.3.0.a.1, 28.6.0.b.1, 222.6.0.?, 3108.12.0.? |
$[]$ |
| 57498.i2 |
57498j1 |
57498.i |
57498j |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( - 2^{12} \cdot 3 \cdot 7^{2} \cdot 37^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3108$ |
$12$ |
$0$ |
$22.80030129$ |
$1$ |
|
$1$ |
$656640$ |
$1.968964$ |
$-351447414193/22278144$ |
$0.98886$ |
$4.41213$ |
$[1, 0, 1, -201272, -36626170]$ |
\(y^2+xy+y=x^3-201272x-36626170\) |
2.3.0.a.1, 28.6.0.b.1, 222.6.0.?, 3108.12.0.? |
$[(46051647145/8241, 6403621033611115/8241)]$ |
| 87024.cq2 |
87024ds1 |
87024.cq |
87024ds |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 37 \) |
\( - 2^{24} \cdot 3 \cdot 7^{8} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3108$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$552960$ |
$1.829607$ |
$-351447414193/22278144$ |
$0.98886$ |
$4.10434$ |
$[0, 1, 0, -115264, -15904204]$ |
\(y^2=x^3+x^2-115264x-15904204\) |
2.3.0.a.1, 28.6.0.b.1, 222.6.0.?, 3108.12.0.? |
$[]$ |
| 116550.df2 |
116550eh1 |
116550.df |
116550eh |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( - 2^{12} \cdot 3^{7} \cdot 5^{6} \cdot 7^{2} \cdot 37 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3108$ |
$12$ |
$0$ |
$0.320811653$ |
$1$ |
|
$41$ |
$491520$ |
$1.517530$ |
$-351447414193/22278144$ |
$0.98886$ |
$3.68055$ |
$[1, -1, 1, -33080, 2447547]$ |
\(y^2+xy+y=x^3-x^2-33080x+2447547\) |
2.3.0.a.1, 28.6.0.b.1, 222.6.0.?, 3108.12.0.? |
$[(89, 405), (-1, 1575)]$ |
| 149184.fe2 |
149184cn1 |
149184.fe |
149184cn |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 37 \) |
\( - 2^{30} \cdot 3^{7} \cdot 7^{2} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3108$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$737280$ |
$1.752533$ |
$-351447414193/22278144$ |
$0.98886$ |
$3.84100$ |
$[0, 0, 0, -84684, -9991280]$ |
\(y^2=x^3-84684x-9991280\) |
2.3.0.a.1, 28.6.0.b.1, 222.6.0.?, 3108.12.0.? |
$[]$ |
| 149184.ga2 |
149184fq1 |
149184.ga |
149184fq |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 37 \) |
\( - 2^{30} \cdot 3^{7} \cdot 7^{2} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3108$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$737280$ |
$1.752533$ |
$-351447414193/22278144$ |
$0.98886$ |
$3.84100$ |
$[0, 0, 0, -84684, 9991280]$ |
\(y^2=x^3-84684x+9991280\) |
2.3.0.a.1, 28.6.0.b.1, 222.6.0.?, 3108.12.0.? |
$[]$ |
| 172494.z2 |
172494j1 |
172494.z |
172494j |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 37^{2} \) |
\( - 2^{12} \cdot 3^{7} \cdot 7^{2} \cdot 37^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3108$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5253120$ |
$2.518272$ |
$-351447414193/22278144$ |
$0.98886$ |
$4.55680$ |
$[1, -1, 1, -1811444, 988906583]$ |
\(y^2+xy+y=x^3-x^2-1811444x+988906583\) |
2.3.0.a.1, 28.6.0.b.1, 222.6.0.?, 3108.12.0.? |
$[]$ |
| 188034.ba2 |
188034bx1 |
188034.ba |
188034bx |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 37 \) |
\( - 2^{12} \cdot 3 \cdot 7^{2} \cdot 11^{6} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3108$ |
$12$ |
$0$ |
$5.492733383$ |
$1$ |
|
$1$ |
$672000$ |
$1.362453$ |
$-351447414193/22278144$ |
$0.98886$ |
$3.38236$ |
$[1, 0, 1, -17790, 960496]$ |
\(y^2+xy+y=x^3-17790x+960496\) |
2.3.0.a.1, 28.6.0.b.1, 222.6.0.?, 3108.12.0.? |
$[(7003/2, 577423/2)]$ |
| 261072.ff2 |
261072ff1 |
261072.ff |
261072ff |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 37 \) |
\( - 2^{24} \cdot 3^{7} \cdot 7^{8} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3108$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4423680$ |
$2.378914$ |
$-351447414193/22278144$ |
$0.98886$ |
$4.27131$ |
$[0, 0, 0, -1037379, 428376130]$ |
\(y^2=x^3-1037379x+428376130\) |
2.3.0.a.1, 28.6.0.b.1, 222.6.0.?, 3108.12.0.? |
$[]$ |
| 262626.p2 |
262626p1 |
262626.p |
262626p |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \cdot 37 \) |
\( - 2^{12} \cdot 3 \cdot 7^{2} \cdot 13^{6} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3108$ |
$12$ |
$0$ |
$11.67255222$ |
$1$ |
|
$1$ |
$1036800$ |
$1.445980$ |
$-351447414193/22278144$ |
$0.98886$ |
$3.37212$ |
$[1, 0, 1, -24847, -1589950]$ |
\(y^2+xy+y=x^3-24847x-1589950\) |
2.3.0.a.1, 28.6.0.b.1, 222.6.0.?, 3108.12.0.? |
$[(897919/21, 838841044/21)]$ |
| 271950.ec2 |
271950ec1 |
271950.ec |
271950ec |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( - 2^{12} \cdot 3 \cdot 5^{6} \cdot 7^{8} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3108$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2949120$ |
$1.941179$ |
$-351447414193/22278144$ |
$0.98886$ |
$3.83760$ |
$[1, 0, 1, -180101, 30972848]$ |
\(y^2+xy+y=x^3-180101x+30972848\) |
2.3.0.a.1, 28.6.0.b.1, 222.6.0.?, 3108.12.0.? |
$[]$ |
| 310800.gh2 |
310800gh1 |
310800.gh |
310800gh |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( - 2^{24} \cdot 3 \cdot 5^{6} \cdot 7^{2} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3108$ |
$12$ |
$0$ |
$2.609085461$ |
$1$ |
|
$3$ |
$1474560$ |
$1.661371$ |
$-351447414193/22278144$ |
$0.98886$ |
$3.53159$ |
$[0, 1, 0, -58808, 5762388]$ |
\(y^2=x^3+x^2-58808x+5762388\) |
2.3.0.a.1, 28.6.0.b.1, 222.6.0.?, 3108.12.0.? |
$[(348, 5250)]$ |
| 348096.eu2 |
348096eu1 |
348096.eu |
348096eu |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 37 \) |
\( - 2^{30} \cdot 3 \cdot 7^{8} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3108$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$4423680$ |
$2.176182$ |
$-351447414193/22278144$ |
$0.98886$ |
$3.98436$ |
$[0, -1, 0, -461057, -126772575]$ |
\(y^2=x^3-x^2-461057x-126772575\) |
2.3.0.a.1, 28.6.0.b.1, 222.6.0.?, 3108.12.0.? |
$[]$ |
| 348096.kj2 |
348096kj1 |
348096.kj |
348096kj |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 37 \) |
\( - 2^{30} \cdot 3 \cdot 7^{8} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3108$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$4423680$ |
$2.176182$ |
$-351447414193/22278144$ |
$0.98886$ |
$3.98436$ |
$[0, 1, 0, -461057, 126772575]$ |
\(y^2=x^3+x^2-461057x+126772575\) |
2.3.0.a.1, 28.6.0.b.1, 222.6.0.?, 3108.12.0.? |
$[]$ |
| 402486.v2 |
402486v1 |
402486.v |
402486v |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 37^{2} \) |
\( - 2^{12} \cdot 3 \cdot 7^{8} \cdot 37^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3108$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$31518720$ |
$2.941921$ |
$-351447414193/22278144$ |
$0.98886$ |
$4.65155$ |
$[1, 1, 0, -9862304, 12552913920]$ |
\(y^2+xy=x^3+x^2-9862304x+12552913920\) |
2.3.0.a.1, 28.6.0.b.1, 222.6.0.?, 3108.12.0.? |
$[]$ |
| 449106.bm2 |
449106bm1 |
449106.bm |
449106bm |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \cdot 37 \) |
\( - 2^{12} \cdot 3 \cdot 7^{2} \cdot 17^{6} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3108$ |
$12$ |
$0$ |
$1.813229929$ |
$1$ |
|
$5$ |
$2457600$ |
$1.580112$ |
$-351447414193/22278144$ |
$0.98886$ |
$3.35678$ |
$[1, 1, 1, -42489, -3568569]$ |
\(y^2+xy+y=x^3+x^2-42489x-3568569\) |
2.3.0.a.1, 28.6.0.b.1, 222.6.0.?, 3108.12.0.? |
$[(375, 5592)]$ |
| 459984.h2 |
459984h1 |
459984.h |
459984h |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( - 2^{24} \cdot 3 \cdot 7^{2} \cdot 37^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3108$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$15759360$ |
$2.662113$ |
$-351447414193/22278144$ |
$0.98886$ |
$4.34640$ |
$[0, -1, 0, -3220344, 2344074864]$ |
\(y^2=x^3-x^2-3220344x+2344074864\) |
2.3.0.a.1, 28.6.0.b.1, 222.6.0.?, 3108.12.0.? |
$[]$ |
