Elliptic curves in class 1089.3-b over \(\Q(\sqrt{5}) \)
Isogeny class 1089.3-b contains
6 curves linked by isogenies of
degrees dividing 8.
Curve label |
Weierstrass Coefficients |
1089.3-b1
| \( \bigl[1\) , \( 1\) , \( \phi + 1\) , \( 2081 \phi - 4539\) , \( 84429 \phi - 121384\bigr] \)
|
1089.3-b2
| \( \bigl[1\) , \( 1\) , \( \phi + 1\) , \( -4 \phi + 6\) , \( 3 \phi + 5\bigr] \)
|
1089.3-b3
| \( \bigl[1\) , \( 1\) , \( \phi + 1\) , \( 86 \phi - 299\) , \( -1286 \phi + 1597\bigr] \)
|
1089.3-b4
| \( \bigl[1\) , \( 1\) , \( \phi + 1\) , \( -19 \phi - 44\) , \( 100 \phi + 46\bigr] \)
|
1089.3-b5
| \( \bigl[1\) , \( 1\) , \( \phi + 1\) , \( -364 \phi - 589\) , \( 7994 \phi + 2119\bigr] \)
|
1089.3-b6
| \( \bigl[\phi + 1\) , \( \phi - 1\) , \( 1\) , \( -580 \phi - 1809\) , \( 63014 \phi - 48649\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrr}
1 & 8 & 8 & 4 & 2 & 4 \\
8 & 1 & 4 & 2 & 4 & 8 \\
8 & 4 & 1 & 2 & 4 & 8 \\
4 & 2 & 2 & 1 & 2 & 4 \\
2 & 4 & 4 & 2 & 1 & 2 \\
4 & 8 & 8 & 4 & 2 & 1
\end{array}\right)\)