Elliptic curves in class 44100.1-b over \(\Q(\sqrt{-3}) \)
Isogeny class 44100.1-b contains
8 curves linked by isogenies of
degrees dividing 12.
| Curve label |
Weierstrass Coefficients |
| 44100.1-b1
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 205 a + 121\) , \( -3500 a + 6873\bigr] \)
|
| 44100.1-b2
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( -20 a - 14\) , \( 100 a - 228\bigr] \)
|
| 44100.1-b3
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 6805 a + 4081\) , \( -21740 a + 53553\bigr] \)
|
| 44100.1-b4
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 1030 a + 616\) , \( -9980 a + 20478\bigr] \)
|
| 44100.1-b5
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 280 a + 166\) , \( 2020 a - 3192\bigr] \)
|
| 44100.1-b6
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 5005 a + 3001\) , \( -134060 a + 257817\bigr] \)
|
| 44100.1-b7
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 4330 a + 2596\) , \( 118660 a - 211038\bigr] \)
|
| 44100.1-b8
| \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 80005 a + 48001\) , \( -8894060 a + 16610817\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 3 & 4 & 12 & 6 & 2 & 12 & 4 \\
3 & 1 & 12 & 4 & 2 & 6 & 4 & 12 \\
4 & 12 & 1 & 12 & 6 & 2 & 3 & 4 \\
12 & 4 & 12 & 1 & 2 & 6 & 4 & 3 \\
6 & 2 & 6 & 2 & 1 & 3 & 2 & 6 \\
2 & 6 & 2 & 6 & 3 & 1 & 6 & 2 \\
12 & 4 & 3 & 4 & 2 & 6 & 1 & 12 \\
4 & 12 & 4 & 3 & 6 & 2 & 12 & 1
\end{array}\right)\)
