Elliptic curves in class 75.1-c over \(\Q(\sqrt{6}) \)
Isogeny class 75.1-c contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 75.1-c1
| \( \bigl[a + 1\) , \( -a + 1\) , \( a\) , \( 2199 a - 5391\) , \( -162213 a + 397338\bigr] \)
|
| 75.1-c2
| \( \bigl[a + 1\) , \( -a + 1\) , \( a\) , \( -a - 1\) , \( 37 a - 92\bigr] \)
|
| 75.1-c3
| \( \bigl[a + 1\) , \( -a + 1\) , \( a\) , \( -701 a + 1714\) , \( -9322 a + 22833\bigr] \)
|
| 75.1-c4
| \( \bigl[a + 1\) , \( -a + 1\) , \( a\) , \( 199 a - 491\) , \( -853 a + 2088\bigr] \)
|
| 75.1-c5
| \( \bigl[a + 1\) , \( -a + 1\) , \( a\) , \( 99 a - 246\) , \( 978 a - 2397\bigr] \)
|
| 75.1-c6
| \( \bigl[a + 1\) , \( -a + 1\) , \( a\) , \( 2699 a - 6616\) , \( -115928 a + 283963\bigr] \)
|
| 75.1-c7
| \( \bigl[a + 1\) , \( -a + 1\) , \( a\) , \( 1599 a - 3921\) , \( 56673 a - 138822\bigr] \)
|
| 75.1-c8
| \( \bigl[a + 1\) , \( -a + 1\) , \( a\) , \( 43199 a - 105841\) , \( -7593443 a + 18600088\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 16 & 8 & 4 & 8 & 2 & 16 & 4 \\
16 & 1 & 8 & 4 & 2 & 8 & 4 & 16 \\
8 & 8 & 1 & 2 & 4 & 4 & 8 & 8 \\
4 & 4 & 2 & 1 & 2 & 2 & 4 & 4 \\
8 & 2 & 4 & 2 & 1 & 4 & 2 & 8 \\
2 & 8 & 4 & 2 & 4 & 1 & 8 & 2 \\
16 & 4 & 8 & 4 & 2 & 8 & 1 & 16 \\
4 & 16 & 8 & 4 & 8 & 2 & 16 & 1
\end{array}\right)\)
