Elliptic curves in class 144.1-c over \(\Q(\sqrt{3}) \)
Isogeny class 144.1-c contains
8 curves linked by isogenies of
degrees dividing 16.
Curve label |
Weierstrass Coefficients |
144.1-c1
| \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 43232 a - 74880\) , \( -6451984 a + 11175164\bigr] \)
|
144.1-c2
| \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( -658 a + 1140\) , \( 88718 a - 153664\bigr] \)
|
144.1-c3
| \( \bigl[0\) , \( -a\) , \( 0\) , \( -8 a + 15\) , \( -25 a + 43\bigr] \)
|
144.1-c4
| \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 182 a - 315\) , \( -1366 a + 2366\bigr] \)
|
144.1-c5
| \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 1022 a - 1770\) , \( 22034 a - 38164\bigr] \)
|
144.1-c6
| \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 2702 a - 4680\) , \( -101392 a + 175616\bigr] \)
|
144.1-c7
| \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 16142 a - 27960\) , \( 1464590 a - 2536744\bigr] \)
|
144.1-c8
| \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( 2492 a - 4320\) , \( -117544 a + 203588\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 16 & 8 & 4 & 8 & 2 & 16 & 4 \\
16 & 1 & 8 & 4 & 2 & 8 & 4 & 16 \\
8 & 8 & 1 & 2 & 4 & 4 & 8 & 8 \\
4 & 4 & 2 & 1 & 2 & 2 & 4 & 4 \\
8 & 2 & 4 & 2 & 1 & 4 & 2 & 8 \\
2 & 8 & 4 & 2 & 4 & 1 & 8 & 2 \\
16 & 4 & 8 & 4 & 2 & 8 & 1 & 16 \\
4 & 16 & 8 & 4 & 8 & 2 & 16 & 1
\end{array}\right)\)