Elliptic curves in class 44100.3-b over \(\Q(\sqrt{-3}) \)
Isogeny class 44100.3-b contains
8 curves linked by isogenies of
degrees dividing 12.
| Curve label |
Weierstrass Coefficients |
| 44100.3-b1
| \( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( -122 a - 203\) , \( 3825 a + 3251\bigr] \)
|
| 44100.3-b2
| \( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( 13 a + 22\) , \( -135 a - 115\bigr] \)
|
| 44100.3-b3
| \( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( -4082 a - 6803\) , \( 32625 a + 27731\bigr] \)
|
| 44100.3-b4
| \( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( -617 a - 1028\) , \( 11625 a + 9881\bigr] \)
|
| 44100.3-b5
| \( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( -167 a - 278\) , \( -1575 a - 1339\bigr] \)
|
| 44100.3-b6
| \( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( -3002 a - 5003\) , \( 142065 a + 120755\bigr] \)
|
| 44100.3-b7
| \( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( -2597 a - 4328\) , \( -111735 a - 94975\bigr] \)
|
| 44100.3-b8
| \( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( -48002 a - 80003\) , \( 9022065 a + 7668755\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 3 & 4 & 12 & 6 & 2 & 12 & 4 \\
3 & 1 & 12 & 4 & 2 & 6 & 4 & 12 \\
4 & 12 & 1 & 12 & 6 & 2 & 3 & 4 \\
12 & 4 & 12 & 1 & 2 & 6 & 4 & 3 \\
6 & 2 & 6 & 2 & 1 & 3 & 2 & 6 \\
2 & 6 & 2 & 6 & 3 & 1 & 6 & 2 \\
12 & 4 & 3 & 4 & 2 & 6 & 1 & 12 \\
4 & 12 & 4 & 3 & 6 & 2 & 12 & 1
\end{array}\right)\)
