Elliptic curves in class 273.1-a over \(\Q(\sqrt{-3}) \)
Isogeny class 273.1-a contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 273.1-a1
| \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -7 a - 85\) , \( 34 a + 274\bigr] \)
|
| 273.1-a2
| \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -2 a - 5\) , \( 3\bigr] \)
|
| 273.1-a3
| \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 3 a - 5\) , \( 10 a + 4\bigr] \)
|
| 273.1-a4
| \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -2 a\) , \( -a\bigr] \)
|
| 273.1-a5
| \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 123 a - 80\) , \( 475 a - 11\bigr] \)
|
| 273.1-a6
| \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -172 a + 250\) , \( -559 a - 702\bigr] \)
|
| 273.1-a7
| \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -37 a + 70\) , \( 125 a + 63\bigr] \)
|
| 273.1-a8
| \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -542 a + 1090\) , \( 8949 a + 3564\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 2 & 4 & 4 & 8 & 16 & 8 & 16 \\
2 & 1 & 2 & 2 & 4 & 8 & 4 & 8 \\
4 & 2 & 1 & 4 & 2 & 4 & 2 & 4 \\
4 & 2 & 4 & 1 & 8 & 16 & 8 & 16 \\
8 & 4 & 2 & 8 & 1 & 8 & 4 & 8 \\
16 & 8 & 4 & 16 & 8 & 1 & 2 & 4 \\
8 & 4 & 2 & 8 & 4 & 2 & 1 & 2 \\
16 & 8 & 4 & 16 & 8 & 4 & 2 & 1
\end{array}\right)\)
