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 |
55545.o2 |
55545j2 |
55545.o |
55545j |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 3^{2} \cdot 5^{3} \cdot 7^{9} \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$210$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2146176$ |
$2.814381$ |
$154786758656/45397807875$ |
$1.05130$ |
$5.22432$ |
$[0, 1, 1, 478569, 2866039706]$ |
\(y^2+y=x^3+x^2+478569x+2866039706\) |
3.8.0-3.a.1.1, 70.2.0.a.1, 210.16.0.? |
$[]$ |
55545.q2 |
55545q2 |
55545.q |
55545q |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 3^{2} \cdot 5^{3} \cdot 7^{9} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4830$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$93312$ |
$1.246634$ |
$154786758656/45397807875$ |
$1.05130$ |
$3.50230$ |
$[0, 1, 1, 905, -235244]$ |
\(y^2+y=x^3+x^2+905x-235244\) |
3.4.0.a.1, 69.8.0-3.a.1.1, 70.2.0.a.1, 210.8.0.?, 4830.16.0.? |
$[]$ |
166635.v2 |
166635bd2 |
166635.v |
166635bd |
$2$ |
$3$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 3^{8} \cdot 5^{3} \cdot 7^{9} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4830$ |
$16$ |
$0$ |
$4.046078071$ |
$1$ |
|
$2$ |
$746496$ |
$1.795940$ |
$154786758656/45397807875$ |
$1.05130$ |
$3.73052$ |
$[0, 0, 1, 8142, 6359724]$ |
\(y^2+y=x^3+8142x+6359724\) |
3.4.0.a.1, 69.8.0-3.a.1.2, 70.2.0.a.1, 210.8.0.?, 4830.16.0.? |
$[(-88, 2227)]$ |
166635.be2 |
166635t2 |
166635.be |
166635t |
$2$ |
$3$ |
\( 3^{2} \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( - 3^{8} \cdot 5^{3} \cdot 7^{9} \cdot 23^{8} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$210$ |
$16$ |
$0$ |
$4.423929311$ |
$1$ |
|
$4$ |
$17169408$ |
$3.363686$ |
$154786758656/45397807875$ |
$1.05130$ |
$5.29520$ |
$[0, 0, 1, 4307118, -77378764950]$ |
\(y^2+y=x^3+4307118x-77378764950\) |
3.8.0-3.a.1.2, 70.2.0.a.1, 210.16.0.? |
$[(3968, 46777)]$ |
277725.bf2 |
277725bf2 |
277725.bf |
277725bf |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3^{2} \cdot 5^{9} \cdot 7^{9} \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$210$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$51508224$ |
$3.619099$ |
$154786758656/45397807875$ |
$1.05130$ |
$5.32392$ |
$[0, -1, 1, 11964217, 358231034843]$ |
\(y^2+y=x^3-x^2+11964217x+358231034843\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 42.8.0-3.a.1.1, 70.2.0.a.1, 210.16.0.? |
$[]$ |
277725.bk2 |
277725bk2 |
277725.bk |
277725bk |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3^{2} \cdot 5^{9} \cdot 7^{9} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4830$ |
$16$ |
$0$ |
$1.080130547$ |
$1$ |
|
$4$ |
$2239488$ |
$2.051353$ |
$154786758656/45397807875$ |
$1.05130$ |
$3.82301$ |
$[0, -1, 1, 22617, -29450707]$ |
\(y^2+y=x^3-x^2+22617x-29450707\) |
3.4.0.a.1, 70.2.0.a.1, 210.8.0.?, 345.8.0.?, 966.8.0.?, $\ldots$ |
$[(297, 1837)]$ |
388815.bq2 |
388815bq2 |
388815.bq |
388815bq |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 23^{2} \) |
\( - 3^{2} \cdot 5^{3} \cdot 7^{15} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4830$ |
$16$ |
$0$ |
$5.648625715$ |
$1$ |
|
$0$ |
$4478976$ |
$2.219589$ |
$154786758656/45397807875$ |
$1.05130$ |
$3.87992$ |
$[0, -1, 1, 44329, 80777276]$ |
\(y^2+y=x^3-x^2+44329x+80777276\) |
3.4.0.a.1, 70.2.0.a.1, 210.8.0.?, 483.8.0.?, 690.8.0.?, $\ldots$ |
$[(1805/2, 110981/2)]$ |
388815.ca2 |
388815ca2 |
388815.ca |
388815ca |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 23^{2} \) |
\( - 3^{2} \cdot 5^{3} \cdot 7^{15} \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$210$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$103016448$ |
$3.787334$ |
$154786758656/45397807875$ |
$1.05130$ |
$5.34159$ |
$[0, -1, 1, 23449865, -983004719502]$ |
\(y^2+y=x^3-x^2+23449865x-983004719502\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 30.8.0-3.a.1.2, 70.2.0.a.1, 210.16.0.? |
$[]$ |