| 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 |
| 11310.k2 |
11310k4 |
11310.k |
11310k |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{5} \cdot 3^{3} \cdot 5 \cdot 13^{4} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.8 |
2B |
$45240$ |
$48$ |
$0$ |
$0.853630883$ |
$1$ |
|
$6$ |
$38400$ |
$1.437426$ |
$1943993954077461649/87266819409120$ |
$0.99226$ |
$4.51187$ |
$[1, 0, 0, -26001, 1547721]$ |
\(y^2+xy=x^3-26001x+1547721\) |
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.?, $\ldots$ |
$[(150, 939)]$ |
| 33930.j2 |
33930m3 |
33930.j |
33930m |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{5} \cdot 3^{9} \cdot 5 \cdot 13^{4} \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$45240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$307200$ |
$1.986732$ |
$1943993954077461649/87266819409120$ |
$0.99226$ |
$4.66859$ |
$[1, -1, 0, -234009, -41788467]$ |
\(y^2+xy=x^3-x^2-234009x-41788467\) |
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.?, $\ldots$ |
$[]$ |
| 56550.h2 |
56550d3 |
56550.h |
56550d |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( 2^{5} \cdot 3^{3} \cdot 5^{7} \cdot 13^{4} \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$45240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$921600$ |
$2.242146$ |
$1943993954077461649/87266819409120$ |
$0.99226$ |
$4.73074$ |
$[1, 1, 0, -650025, 193465125]$ |
\(y^2+xy=x^3+x^2-650025x+193465125\) |
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.?, $\ldots$ |
$[]$ |
| 90480.d2 |
90480u3 |
90480.d |
90480u |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{17} \cdot 3^{3} \cdot 5 \cdot 13^{4} \cdot 29^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$45240$ |
$48$ |
$0$ |
$23.94522936$ |
$1$ |
|
$5$ |
$921600$ |
$2.130573$ |
$1943993954077461649/87266819409120$ |
$0.99226$ |
$4.41861$ |
$[0, -1, 0, -416016, -99054144]$ |
\(y^2=x^3-x^2-416016x-99054144\) |
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.?, $\ldots$ |
$[(7138, 600474), (-310, 154)]$ |
| 147030.be2 |
147030bn3 |
147030.be |
147030bn |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 29 \) |
\( 2^{5} \cdot 3^{3} \cdot 5 \cdot 13^{10} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$45240$ |
$48$ |
$0$ |
$6.676991321$ |
$1$ |
|
$0$ |
$6451200$ |
$2.719898$ |
$1943993954077461649/87266819409120$ |
$0.99226$ |
$4.83267$ |
$[1, 0, 1, -4394173, 3404737208]$ |
\(y^2+xy+y=x^3-4394173x+3404737208\) |
2.3.0.a.1, 4.6.0.c.1, 104.12.0.?, 120.12.0.?, 232.12.0.?, $\ldots$ |
$[(22918/3, 2488189/3)]$ |
| 169650.eg2 |
169650ba4 |
169650.eg |
169650ba |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( 2^{5} \cdot 3^{9} \cdot 5^{7} \cdot 13^{4} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$45240$ |
$48$ |
$0$ |
$0.747650732$ |
$1$ |
|
$8$ |
$7372800$ |
$2.791451$ |
$1943993954077461649/87266819409120$ |
$0.99226$ |
$4.84654$ |
$[1, -1, 1, -5850230, -5229408603]$ |
\(y^2+xy+y=x^3-x^2-5850230x-5229408603\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 3016.24.0.?, 45240.48.0.? |
$[(4509, 242795)]$ |
| 271440.dk2 |
271440dk3 |
271440.dk |
271440dk |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{17} \cdot 3^{9} \cdot 5 \cdot 13^{4} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$45240$ |
$48$ |
$0$ |
$3.331338455$ |
$1$ |
|
$3$ |
$7372800$ |
$2.679878$ |
$1943993954077461649/87266819409120$ |
$0.99226$ |
$4.55747$ |
$[0, 0, 0, -3744147, 2678206034]$ |
\(y^2=x^3-3744147x+2678206034\) |
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.?, $\ldots$ |
$[(-2215, 10208)]$ |
| 327990.b2 |
327990b3 |
327990.b |
327990b |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 29^{2} \) |
\( 2^{5} \cdot 3^{3} \cdot 5 \cdot 13^{4} \cdot 29^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$45240$ |
$48$ |
$0$ |
$20.17205672$ |
$1$ |
|
$0$ |
$32256000$ |
$3.121075$ |
$1943993954077461649/87266819409120$ |
$0.99226$ |
$4.90641$ |
$[1, 1, 0, -21866858, 37791101172]$ |
\(y^2+xy=x^3+x^2-21866858x+37791101172\) |
2.3.0.a.1, 4.6.0.c.1, 104.12.0.?, 120.12.0.?, 232.12.0.?, $\ldots$ |
$[(7470721753/197, 644796805363788/197)]$ |
| 361920.cj2 |
361920cj3 |
361920.cj |
361920cj |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{23} \cdot 3^{3} \cdot 5 \cdot 13^{4} \cdot 29^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$45240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$7372800$ |
$2.477146$ |
$1943993954077461649/87266819409120$ |
$0.99226$ |
$4.26496$ |
$[0, -1, 0, -1664065, 794097217]$ |
\(y^2=x^3-x^2-1664065x+794097217\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 120.24.0.?, 3016.24.0.?, 45240.48.0.? |
$[]$ |
| 361920.ez2 |
361920ez4 |
361920.ez |
361920ez |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 29 \) |
\( 2^{23} \cdot 3^{3} \cdot 5 \cdot 13^{4} \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$45240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7372800$ |
$2.477146$ |
$1943993954077461649/87266819409120$ |
$0.99226$ |
$4.26496$ |
$[0, 1, 0, -1664065, -794097217]$ |
\(y^2=x^3+x^2-1664065x-794097217\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 3016.24.0.?, 45240.48.0.? |
$[]$ |
| 441090.cx2 |
441090cx4 |
441090.cx |
441090cx |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 29 \) |
\( 2^{5} \cdot 3^{9} \cdot 5 \cdot 13^{10} \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$45240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$51609600$ |
$3.269207$ |
$1943993954077461649/87266819409120$ |
$0.99226$ |
$4.93134$ |
$[1, -1, 1, -39547553, -91927904623]$ |
\(y^2+xy+y=x^3-x^2-39547553x-91927904623\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 260.12.0.?, 312.12.0.?, $\ldots$ |
$[]$ |
| 452400.eg2 |
452400eg4 |
452400.eg |
452400eg |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( 2^{17} \cdot 3^{3} \cdot 5^{7} \cdot 13^{4} \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$45240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$22118400$ |
$2.935291$ |
$1943993954077461649/87266819409120$ |
$0.99226$ |
$4.61405$ |
$[0, 1, 0, -10400408, -12402568812]$ |
\(y^2=x^3+x^2-10400408x-12402568812\) |
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.?, $\ldots$ |
$[]$ |
