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 |
16830.m1 |
16830b1 |
16830.m |
16830b |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{9} \cdot 3^{3} \cdot 5^{7} \cdot 11^{5} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22440$ |
$2$ |
$0$ |
$4.794749633$ |
$1$ |
|
$2$ |
$100800$ |
$1.650841$ |
$22253722294800933/109514680000000$ |
$0.98179$ |
$4.41403$ |
$[1, -1, 0, 17580, 2453200]$ |
\(y^2+xy=x^3-x^2+17580x+2453200\) |
22440.2.0.? |
$[(-67, 1019)]$ |
16830.cr1 |
16830bt1 |
16830.cr |
16830bt |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{9} \cdot 3^{9} \cdot 5^{7} \cdot 11^{5} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22440$ |
$2$ |
$0$ |
$0.100272248$ |
$1$ |
|
$12$ |
$302400$ |
$2.200146$ |
$22253722294800933/109514680000000$ |
$0.98179$ |
$5.09142$ |
$[1, -1, 1, 158218, -66394619]$ |
\(y^2+xy+y=x^3-x^2+158218x-66394619\) |
22440.2.0.? |
$[(391, 7229)]$ |
84150.bg1 |
84150k1 |
84150.bg |
84150k |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{9} \cdot 3^{9} \cdot 5^{13} \cdot 11^{5} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22440$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7257600$ |
$3.004868$ |
$22253722294800933/109514680000000$ |
$0.98179$ |
$5.22037$ |
$[1, -1, 0, 3955458, -8295371884]$ |
\(y^2+xy=x^3-x^2+3955458x-8295371884\) |
22440.2.0.? |
$[]$ |
84150.fa1 |
84150dx1 |
84150.fa |
84150dx |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{9} \cdot 3^{3} \cdot 5^{13} \cdot 11^{5} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22440$ |
$2$ |
$0$ |
$0.957960848$ |
$1$ |
|
$4$ |
$2419200$ |
$2.455559$ |
$22253722294800933/109514680000000$ |
$0.98179$ |
$4.63911$ |
$[1, -1, 1, 439495, 307089497]$ |
\(y^2+xy+y=x^3-x^2+439495x+307089497\) |
22440.2.0.? |
$[(99, 18700)]$ |
134640.w1 |
134640dr1 |
134640.w |
134640dr |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{21} \cdot 3^{3} \cdot 5^{7} \cdot 11^{5} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22440$ |
$2$ |
$0$ |
$1.123779464$ |
$1$ |
|
$4$ |
$2419200$ |
$2.343987$ |
$22253722294800933/109514680000000$ |
$0.98179$ |
$4.34113$ |
$[0, 0, 0, 281277, -157286078]$ |
\(y^2=x^3+281277x-157286078\) |
22440.2.0.? |
$[(609, 15488)]$ |
134640.ds1 |
134640cx1 |
134640.ds |
134640cx |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{21} \cdot 3^{9} \cdot 5^{7} \cdot 11^{5} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22440$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7257600$ |
$2.893295$ |
$22253722294800933/109514680000000$ |
$0.98179$ |
$4.89926$ |
$[0, 0, 0, 2531493, 4246724106]$ |
\(y^2=x^3+2531493x+4246724106\) |
22440.2.0.? |
$[]$ |
185130.cb1 |
185130ex1 |
185130.cb |
185130ex |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{9} \cdot 3^{9} \cdot 5^{7} \cdot 11^{11} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22440$ |
$2$ |
$0$ |
$3.455736861$ |
$1$ |
|
$2$ |
$36288000$ |
$3.399094$ |
$22253722294800933/109514680000000$ |
$0.98179$ |
$5.27105$ |
$[1, -1, 0, 19144416, 88313804288]$ |
\(y^2+xy=x^3-x^2+19144416x+88313804288\) |
22440.2.0.? |
$[(157, 302119)]$ |
185130.dn1 |
185130cg1 |
185130.dn |
185130cg |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{9} \cdot 3^{3} \cdot 5^{7} \cdot 11^{11} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22440$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12096000$ |
$2.849789$ |
$22253722294800933/109514680000000$ |
$0.98179$ |
$4.72758$ |
$[1, -1, 1, 2127157, -3271590693]$ |
\(y^2+xy+y=x^3-x^2+2127157x-3271590693\) |
22440.2.0.? |
$[]$ |
286110.ce1 |
286110ce1 |
286110.ce |
286110ce |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{9} \cdot 3^{3} \cdot 5^{7} \cdot 11^{5} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22440$ |
$2$ |
$0$ |
$0.244949376$ |
$1$ |
|
$6$ |
$29030400$ |
$3.067448$ |
$22253722294800933/109514680000000$ |
$0.98179$ |
$4.77166$ |
$[1, -1, 0, 5080566, 12072893940]$ |
\(y^2+xy=x^3-x^2+5080566x+12072893940\) |
22440.2.0.? |
$[(11811, 1305432)]$ |
286110.ea1 |
286110ea1 |
286110.ea |
286110ea |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{9} \cdot 3^{9} \cdot 5^{7} \cdot 11^{5} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22440$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$87091200$ |
$3.616753$ |
$22253722294800933/109514680000000$ |
$0.98179$ |
$5.29631$ |
$[1, -1, 1, 45725092, -326013861473]$ |
\(y^2+xy+y=x^3-x^2+45725092x-326013861473\) |
22440.2.0.? |
$[]$ |