Elliptic curves in class 112896.2-q over \(\Q(\sqrt{-3}) \)
Isogeny class 112896.2-q contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 112896.2-q1
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -22559 a + 7153\) , \( 1105583 a - 1105056\bigr] \)
|
| 112896.2-q2
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( a + 1633\) , \( 81695 a - 41664\bigr] \)
|
| 112896.2-q3
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( a - 47\) , \( 47 a\bigr] \)
|
| 112896.2-q4
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( a + 193\) , \( 191 a - 192\bigr] \)
|
| 112896.2-q5
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 22561 a - 15407\) , \( 1083023 a + 14880\bigr] \)
|
| 112896.2-q6
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( a + 1873\) , \( -36433 a + 17280\bigr] \)
|
| 112896.2-q7
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( a + 2353\) , \( 49871 a - 26112\bigr] \)
|
| 112896.2-q8
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( a + 37633\) , \( 3232127 a - 1634880\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 2 & 16 & 8 & 4 & 16 & 4 & 8 \\
2 & 1 & 8 & 4 & 2 & 8 & 2 & 4 \\
16 & 8 & 1 & 2 & 16 & 4 & 4 & 8 \\
8 & 4 & 2 & 1 & 8 & 2 & 2 & 4 \\
4 & 2 & 16 & 8 & 1 & 16 & 4 & 8 \\
16 & 8 & 4 & 2 & 16 & 1 & 4 & 8 \\
4 & 2 & 4 & 2 & 4 & 4 & 1 & 2 \\
8 & 4 & 8 & 4 & 8 & 8 & 2 & 1
\end{array}\right)\)
