Elliptic curves in class 36864.1-m over \(\Q(\sqrt{-3}) \)
Isogeny class 36864.1-m contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 36864.1-m1
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -67 a + 128\) , \( -346 a - 227\bigr] \)
|
| 36864.1-m2
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -127 a + 68\) , \( -286 a + 445\bigr] \)
|
| 36864.1-m3
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -187 a + 188\) , \( 8450 a - 4319\bigr] \)
|
| 36864.1-m4
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -7 a + 8\) , \( -10 a + 1\bigr] \)
|
| 36864.1-m5
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 53 a - 52\) , \( -142 a + 97\bigr] \)
|
| 36864.1-m6
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 293 a - 292\) , \( 2018 a - 863\bigr] \)
|
| 36864.1-m7
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 773 a - 772\) , \( -9790 a + 5281\bigr] \)
|
| 36864.1-m8
| \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 4613 a - 4612\) , \( 137666 a - 66527\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 4 & 16 & 2 & 4 & 8 & 8 & 16 \\
4 & 1 & 16 & 2 & 4 & 8 & 8 & 16 \\
16 & 16 & 1 & 8 & 4 & 2 & 8 & 4 \\
2 & 2 & 8 & 1 & 2 & 4 & 4 & 8 \\
4 & 4 & 4 & 2 & 1 & 2 & 2 & 4 \\
8 & 8 & 2 & 4 & 2 & 1 & 4 & 2 \\
8 & 8 & 8 & 4 & 2 & 4 & 1 & 8 \\
16 & 16 & 4 & 8 & 4 & 2 & 8 & 1
\end{array}\right)\)
