Elliptic curves in class 3600.1-d over \(\Q(\sqrt{3}) \)
Isogeny class 3600.1-d contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 3600.1-d1
| \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -a - 1322\) , \( 19795 a - 1\bigr] \)
|
| 3600.1-d2
| \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -a - 2\) , \( -5 a - 1\bigr] \)
|
| 3600.1-d3
| \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -a + 418\) , \( 1087 a - 1\bigr] \)
|
| 3600.1-d4
| \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -a - 122\) , \( 115 a - 1\bigr] \)
|
| 3600.1-d5
| \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -a - 62\) , \( -113 a - 1\bigr] \)
|
| 3600.1-d6
| \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -a - 1622\) , \( 14215 a - 1\bigr] \)
|
| 3600.1-d7
| \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -a - 962\) , \( -6773 a - 1\bigr] \)
|
| 3600.1-d8
| \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -a - 25922\) , \( 923035 a - 1\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 16 & 8 & 4 & 8 & 2 & 16 & 4 \\
16 & 1 & 8 & 4 & 2 & 8 & 4 & 16 \\
8 & 8 & 1 & 2 & 4 & 4 & 8 & 8 \\
4 & 4 & 2 & 1 & 2 & 2 & 4 & 4 \\
8 & 2 & 4 & 2 & 1 & 4 & 2 & 8 \\
2 & 8 & 4 & 2 & 4 & 1 & 8 & 2 \\
16 & 4 & 8 & 4 & 2 & 8 & 1 & 16 \\
4 & 16 & 8 & 4 & 8 & 2 & 16 & 1
\end{array}\right)\)
