Elliptic curves in class 19881.4-a over \(\Q(\sqrt{-11}) \)
Isogeny class 19881.4-a contains
8 curves linked by isogenies of
degrees dividing 20.
| Curve label |
Weierstrass Coefficients |
| 19881.4-a1
| \( \bigl[a\) , \( -a - 1\) , \( a + 1\) , \( 115 a - 204\) , \( -926 a + 983\bigr] \)
|
| 19881.4-a2
| \( \bigl[a + 1\) , \( 1\) , \( 0\) , \( 131 a - 173\) , \( 909 a - 405\bigr] \)
|
| 19881.4-a3
| \( \bigl[a\) , \( -a - 1\) , \( a + 1\) , \( -5 a - 19\) , \( -34 a - 24\bigr] \)
|
| 19881.4-a4
| \( \bigl[a + 1\) , \( 1\) , \( 0\) , \( 66 a - 533\) , \( 348 a + 5154\bigr] \)
|
| 19881.4-a5
| \( \bigl[a + 1\) , \( 1\) , \( 0\) , \( 11 a + 12\) , \( 46 a - 87\bigr] \)
|
| 19881.4-a6
| \( \bigl[a\) , \( -a - 1\) , \( a + 1\) , \( 300 a - 29\) , \( -323 a + 5852\bigr] \)
|
| 19881.4-a7
| \( \bigl[a + 1\) , \( 1\) , \( 0\) , \( 2116 a - 2773\) , \( 56522 a - 20516\bigr] \)
|
| 19881.4-a8
| \( \bigl[a\) , \( -a - 1\) , \( a + 1\) , \( 1850 a - 3339\) , \( -56037 a + 51062\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 5 & 2 & 10 & 10 & 2 & 10 & 2 \\
5 & 1 & 10 & 2 & 2 & 10 & 2 & 10 \\
2 & 10 & 1 & 20 & 5 & 4 & 20 & 4 \\
10 & 2 & 20 & 1 & 4 & 20 & 4 & 5 \\
10 & 2 & 5 & 4 & 1 & 20 & 4 & 20 \\
2 & 10 & 4 & 20 & 20 & 1 & 5 & 4 \\
10 & 2 & 20 & 4 & 4 & 5 & 1 & 20 \\
2 & 10 & 4 & 5 & 20 & 4 & 20 & 1
\end{array}\right)\)
