Elliptic curves in class 525.1-a over \(\Q(\sqrt{21}) \)
Isogeny class 525.1-a contains
8 curves linked by isogenies of
degrees dividing 12.
| Curve label |
Weierstrass Coefficients |
| 525.1-a1
| \( \bigl[1\) , \( a + 1\) , \( 0\) , \( -1073 a - 3918\) , \( -59174 a - 139962\bigr] \)
|
| 525.1-a2
| \( \bigl[1\) , \( a + 1\) , \( 0\) , \( 152 a + 247\) , \( 1243 a + 2187\bigr] \)
|
| 525.1-a3
| \( \bigl[1\) , \( a + 1\) , \( 0\) , \( -43 a - 83\) , \( 82 a + 153\bigr] \)
|
| 525.1-a4
| \( \bigl[1\) , \( a + 1\) , \( 0\) , \( -1763 a - 3248\) , \( -47532 a - 85968\bigr] \)
|
| 525.1-a5
| \( \bigl[1\) , \( a + 1\) , \( 0\) , \( -18 a - 38\) , \( -103 a - 178\bigr] \)
|
| 525.1-a6
| \( \bigl[1\) , \( a + 1\) , \( 0\) , \( -638 a - 1133\) , \( 12381 a + 22203\bigr] \)
|
| 525.1-a7
| \( \bigl[1\) , \( a + 1\) , \( 0\) , \( -1618 a - 3023\) , \( -57143 a - 102873\bigr] \)
|
| 525.1-a8
| \( \bigl[a + 1\) , \( -a\) , \( a\) , \( 1147 a - 3221\) , \( 9298 a - 25980\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 3 & 6 & 4 & 12 & 12 & 2 & 4 \\
3 & 1 & 2 & 12 & 4 & 4 & 6 & 12 \\
6 & 2 & 1 & 6 & 2 & 2 & 3 & 6 \\
4 & 12 & 6 & 1 & 12 & 3 & 2 & 4 \\
12 & 4 & 2 & 12 & 1 & 4 & 6 & 3 \\
12 & 4 & 2 & 3 & 4 & 1 & 6 & 12 \\
2 & 6 & 3 & 2 & 6 & 6 & 1 & 2 \\
4 & 12 & 6 & 4 & 3 & 12 & 2 & 1
\end{array}\right)\)
