Elliptic curves in class 147.1-b over \(\Q(\sqrt{33}) \)
Isogeny class 147.1-b contains
6 curves linked by isogenies of
degrees dividing 8.
Curve label |
Weierstrass Coefficients |
147.1-b1
| \( \bigl[1\) , \( a + 1\) , \( a\) , \( -12519 a - 29697\) , \( 3604391 a + 8550628\bigr] \)
|
147.1-b2
| \( \bigl[1\) , \( a + 1\) , \( a\) , \( 361 a + 858\) , \( 1946 a + 4615\bigr] \)
|
147.1-b3
| \( \bigl[1\) , \( -a - 1\) , \( a\) , \( 1480 a - 4987\) , \( -10461 a + 35272\bigr] \)
|
147.1-b4
| \( \bigl[1\) , \( a + 1\) , \( a\) , \( -14359 a - 34062\) , \( -1599934 a - 3795495\bigr] \)
|
147.1-b5
| \( \bigl[1\) , \( a + 1\) , \( a\) , \( -18039 a - 42792\) , \( 2204216 a + 5229019\bigr] \)
|
147.1-b6
| \( \bigl[1\) , \( a + 1\) , \( a\) , \( -288519 a - 684447\) , \( 142523801 a + 338106550\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrr}
1 & 8 & 4 & 8 & 2 & 4 \\
8 & 1 & 2 & 4 & 4 & 8 \\
4 & 2 & 1 & 2 & 2 & 4 \\
8 & 4 & 2 & 1 & 4 & 8 \\
2 & 4 & 2 & 4 & 1 & 2 \\
4 & 8 & 4 & 8 & 2 & 1
\end{array}\right)\)