Elliptic curves in class 450.1-d over \(\Q(\sqrt{6}) \)
Isogeny class 450.1-d contains
8 curves linked by isogenies of
degrees dividing 12.
Curve label |
Weierstrass Coefficients |
450.1-d1
| \( \bigl[a + 1\) , \( a - 1\) , \( a\) , \( 154 a - 375\) , \( 1701 a - 4165\bigr] \)
|
450.1-d2
| \( \bigl[1\) , \( -1\) , \( 0\) , \( 6\) , \( 0\bigr] \)
|
450.1-d3
| \( \bigl[1\) , \( -1\) , \( 0\) , \( -24\) , \( 18\bigr] \)
|
450.1-d4
| \( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( -2643 a - 6492\) , \( -105330 a - 258022\bigr] \)
|
450.1-d5
| \( \bigl[1\) , \( -1\) , \( 0\) , \( 15 a - 264\) , \( -681 a + 414\bigr] \)
|
450.1-d6
| \( \bigl[1\) , \( -1\) , \( 0\) , \( -15 a - 264\) , \( 681 a + 414\bigr] \)
|
450.1-d7
| \( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( -2553 a - 6252\) , \( -113724 a - 278566\bigr] \)
|
450.1-d8
| \( \bigl[a + 1\) , \( a - 1\) , \( a\) , \( 2644 a - 6495\) , \( 98835 a - 242161\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 3 & 6 & 4 & 12 & 12 & 2 & 4 \\
3 & 1 & 2 & 12 & 4 & 4 & 6 & 12 \\
6 & 2 & 1 & 6 & 2 & 2 & 3 & 6 \\
4 & 12 & 6 & 1 & 12 & 3 & 2 & 4 \\
12 & 4 & 2 & 12 & 1 & 4 & 6 & 3 \\
12 & 4 & 2 & 3 & 4 & 1 & 6 & 12 \\
2 & 6 & 3 & 2 & 6 & 6 & 1 & 2 \\
4 & 12 & 6 & 4 & 3 & 12 & 2 & 1
\end{array}\right)\)