Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 3 & 6 & 4 & 12 & 12 & 2 & 4 \\
3 & 1 & 2 & 12 & 4 & 4 & 6 & 12 \\
6 & 2 & 1 & 6 & 2 & 2 & 3 & 6 \\
4 & 12 & 6 & 1 & 12 & 3 & 2 & 4 \\
12 & 4 & 2 & 12 & 1 & 4 & 6 & 3 \\
12 & 4 & 2 & 3 & 4 & 1 & 6 & 12 \\
2 & 6 & 3 & 2 & 6 & 6 & 1 & 2 \\
4 & 12 & 6 & 4 & 3 & 12 & 2 & 1
\end{array}\right)\)
Elliptic curves in class 450.1-h over \(\Q(\sqrt{6}) \)
Isogeny class 450.1-h contains
8 curves linked by isogenies of
degrees dividing 12.
| Curve label |
Weierstrass Coefficients |
| 450.1-h1
| \( \bigl[1\) , \( -1\) , \( 1\) , \( -8\) , \( 11\bigr] \)
|
| 450.1-h2
| \( \bigl[a + 1\) , \( a - 1\) , \( 1\) , \( -116 a + 289\) , \( 405 a - 989\bigr] \)
|
| 450.1-h3
| \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( -484 a - 1184\) , \( -3083 a - 7553\bigr] \)
|
| 450.1-h4
| \( \bigl[1\) , \( -1\) , \( 1\) , \( 390 a - 1088\) , \( -7248 a + 18299\bigr] \)
|
| 450.1-h5
| \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( -4549 a - 11144\) , \( 252859 a + 619375\bigr] \)
|
| 450.1-h6
| \( \bigl[a + 1\) , \( a - 1\) , \( 1\) , \( 4549 a - 11141\) , \( -264003 a + 646669\bigr] \)
|
| 450.1-h7
| \( \bigl[1\) , \( -1\) , \( 1\) , \( -128\) , \( 587\bigr] \)
|
| 450.1-h8
| \( \bigl[1\) , \( -1\) , \( 1\) , \( -390 a - 1088\) , \( 7248 a + 18299\bigr] \)
|
