Elliptic curves in class 294.1-c over \(\Q(\sqrt{6}) \)
Isogeny class 294.1-c contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 294.1-c1
| \( \bigl[a + 1\) , \( -a + 1\) , \( a\) , \( 79 a - 197\) , \( 1463 a - 3585\bigr] \)
|
| 294.1-c2
| \( \bigl[a + 1\) , \( -a + 1\) , \( a\) , \( -7721 a + 18913\) , \( 210809 a - 516375\bigr] \)
|
| 294.1-c3
| \( \bigl[a + 1\) , \( -a + 1\) , \( a\) , \( 2079 a - 5097\) , \( 31371 a - 76845\bigr] \)
|
| 294.1-c4
| \( \bigl[a + 1\) , \( 1\) , \( a\) , \( -18280 a - 44787\) , \( 2061507 a + 5049645\bigr] \)
|
| 294.1-c5
| \( \bigl[a + 1\) , \( 1\) , \( a\) , \( -1680 a - 4117\) , \( -60871 a - 149105\bigr] \)
|
| 294.1-c6
| \( \bigl[a + 1\) , \( -a + 1\) , \( a\) , \( 26879 a - 65857\) , \( 3790723 a - 9285365\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrr}
1 & 8 & 4 & 8 & 2 & 4 \\
8 & 1 & 2 & 4 & 4 & 8 \\
4 & 2 & 1 & 2 & 2 & 4 \\
8 & 4 & 2 & 1 & 4 & 8 \\
2 & 4 & 2 & 4 & 1 & 2 \\
4 & 8 & 4 & 8 & 2 & 1
\end{array}\right)\)
