Elliptic curves in class 84.1-a over \(\Q(\sqrt{21}) \)
Isogeny class 84.1-a contains
6 curves linked by isogenies of
degrees dividing 8.
Curve label |
Weierstrass Coefficients |
84.1-a1
| \( \bigl[a\) , \( a + 1\) , \( 1\) , \( 22 a - 52\) , \( 166 a - 457\bigr] \)
|
84.1-a2
| \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( 1930 a + 3476\) , \( -23318 a - 41795\bigr] \)
|
84.1-a3
| \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( -520 a - 934\) , \( -4404 a - 7887\bigr] \)
|
84.1-a4
| \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( -4570 a - 8224\) , \( 244590 a + 438261\bigr] \)
|
84.1-a5
| \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( -420 a - 754\) , \( -7864 a - 14087\bigr] \)
|
84.1-a6
| \( \bigl[a\) , \( a + 1\) , \( 1\) , \( 6722 a - 18812\) , \( 455166 a - 1270777\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrr}
1 & 8 & 4 & 8 & 2 & 4 \\
8 & 1 & 2 & 4 & 4 & 8 \\
4 & 2 & 1 & 2 & 2 & 4 \\
8 & 4 & 2 & 1 & 4 & 8 \\
2 & 4 & 2 & 4 & 1 & 2 \\
4 & 8 & 4 & 8 & 2 & 1
\end{array}\right)\)