Elliptic curves in class 600.1-c over \(\Q(\sqrt{6}) \)
Isogeny class 600.1-c contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 600.1-c1
| \( \bigl[a\) , \( -a - 1\) , \( a\) , \( -2127 a - 5301\) , \( 243522 a + 596748\bigr] \)
|
| 600.1-c2
| \( \bigl[a\) , \( -a - 1\) , \( a\) , \( -57 a - 161\) , \( -3628 a - 8946\bigr] \)
|
| 600.1-c3
| \( \bigl[a\) , \( -a - 1\) , \( a\) , \( 1003 a + 2459\) , \( 5004 a + 12256\bigr] \)
|
| 600.1-c4
| \( \bigl[a\) , \( -a - 1\) , \( a\) , \( -257 a - 631\) , \( 882 a + 2158\bigr] \)
|
| 600.1-c5
| \( \bigl[a\) , \( -a - 1\) , \( a\) , \( -157 a - 386\) , \( -1563 a - 3831\bigr] \)
|
| 600.1-c6
| \( \bigl[a\) , \( -a - 1\) , \( a\) , \( -3117 a - 7641\) , \( 150120 a + 367716\bigr] \)
|
| 600.1-c7
| \( \bigl[0\) , \( -1\) , \( 0\) , \( -31\) , \( 2 a - 62\bigr] \)
|
| 600.1-c8
| \( \bigl[a\) , \( a - 1\) , \( a\) , \( -15303 a + 37459\) , \( -4665940 a + 11429196\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 16 & 8 & 4 & 8 & 2 & 16 & 4 \\
16 & 1 & 8 & 4 & 2 & 8 & 4 & 16 \\
8 & 8 & 1 & 2 & 4 & 4 & 8 & 8 \\
4 & 4 & 2 & 1 & 2 & 2 & 4 & 4 \\
8 & 2 & 4 & 2 & 1 & 4 & 2 & 8 \\
2 & 8 & 4 & 2 & 4 & 1 & 8 & 2 \\
16 & 4 & 8 & 4 & 2 & 8 & 1 & 16 \\
4 & 16 & 8 & 4 & 8 & 2 & 16 & 1
\end{array}\right)\)
