Elliptic curves in class 900.1-f over \(\Q(\sqrt{21}) \)
Isogeny class 900.1-f contains
8 curves linked by isogenies of
degrees dividing 12.
Curve label |
Weierstrass Coefficients |
900.1-f1
| \( \bigl[a\) , \( -1\) , \( 1\) , \( -41 a - 81\) , \( -765 a - 1339\bigr] \)
|
900.1-f2
| \( \bigl[a\) , \( -1\) , \( 1\) , \( 4 a + 9\) , \( 27 a + 47\bigr] \)
|
900.1-f3
| \( \bigl[a\) , \( -1\) , \( 1\) , \( -1361 a - 2721\) , \( -6525 a - 11419\bigr] \)
|
900.1-f4
| \( \bigl[a\) , \( -1\) , \( 1\) , \( -206 a - 411\) , \( -2325 a - 4069\bigr] \)
|
900.1-f5
| \( \bigl[a\) , \( -1\) , \( 1\) , \( -56 a - 111\) , \( 315 a + 551\bigr] \)
|
900.1-f6
| \( \bigl[a\) , \( -1\) , \( 1\) , \( -1001 a - 2001\) , \( -28413 a - 49723\bigr] \)
|
900.1-f7
| \( \bigl[a\) , \( -1\) , \( 1\) , \( -866 a - 1731\) , \( 22347 a + 39107\bigr] \)
|
900.1-f8
| \( \bigl[a\) , \( -1\) , \( 1\) , \( -16001 a - 32001\) , \( -1804413 a - 3157723\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 3 & 4 & 12 & 6 & 2 & 12 & 4 \\
3 & 1 & 12 & 4 & 2 & 6 & 4 & 12 \\
4 & 12 & 1 & 12 & 6 & 2 & 3 & 4 \\
12 & 4 & 12 & 1 & 2 & 6 & 4 & 3 \\
6 & 2 & 6 & 2 & 1 & 3 & 2 & 6 \\
2 & 6 & 2 & 6 & 3 & 1 & 6 & 2 \\
12 & 4 & 3 & 4 & 2 & 6 & 1 & 12 \\
4 & 12 & 4 & 3 & 6 & 2 & 12 & 1
\end{array}\right)\)