Elliptic curves in class 11025.1-c over \(\Q(\sqrt{-3}) \)
Isogeny class 11025.1-c contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 11025.1-c1
| \( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( 1650 a + 990\) , \( -50809 a + 92379\bigr] \)
|
| 11025.1-c2
| \( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( 0\) , \( 11 a - 21\bigr] \)
|
| 11025.1-c3
| \( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( -525 a - 315\) , \( -2299 a + 4767\bigr] \)
|
| 11025.1-c4
| \( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( 150 a + 90\) , \( -409 a + 609\bigr] \)
|
| 11025.1-c5
| \( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( 75 a + 45\) , \( 221 a - 483\bigr] \)
|
| 11025.1-c6
| \( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( 2025 a + 1215\) , \( -37159 a + 66759\bigr] \)
|
| 11025.1-c7
| \( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( 1200 a + 720\) , \( 15971 a - 30723\bigr] \)
|
| 11025.1-c8
| \( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( 32400 a + 19440\) , \( -2333509 a + 4285239\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 16 & 8 & 4 & 8 & 2 & 16 & 4 \\
16 & 1 & 8 & 4 & 2 & 8 & 4 & 16 \\
8 & 8 & 1 & 2 & 4 & 4 & 8 & 8 \\
4 & 4 & 2 & 1 & 2 & 2 & 4 & 4 \\
8 & 2 & 4 & 2 & 1 & 4 & 2 & 8 \\
2 & 8 & 4 & 2 & 4 & 1 & 8 & 2 \\
16 & 4 & 8 & 4 & 2 & 8 & 1 & 16 \\
4 & 16 & 8 & 4 & 8 & 2 & 16 & 1
\end{array}\right)\)
