Elliptic curves in class 95.2-a over \(\Q(\sqrt{5}) \)
Isogeny class 95.2-a contains
8 curves linked by isogenies of
degrees dividing 12.
| Curve label |
Weierstrass Coefficients |
| 95.2-a1
| \( \bigl[1\) , \( 1\) , \( \phi + 1\) , \( 141 \phi - 497\) , \( -2485 \phi - 7218\bigr] \)
|
| 95.2-a2
| \( \bigl[\phi + 1\) , \( \phi - 1\) , \( 1\) , \( 24 \phi - 34\) , \( 60 \phi - 71\bigr] \)
|
| 95.2-a3
| \( \bigl[\phi + 1\) , \( \phi - 1\) , \( 1\) , \( 54 \phi - 219\) , \( 594 \phi - 991\bigr] \)
|
| 95.2-a4
| \( \bigl[\phi + 1\) , \( \phi - 1\) , \( 1\) , \( -\phi + 1\) , \( -1\bigr] \)
|
| 95.2-a5
| \( \bigl[\phi + 1\) , \( \phi - 1\) , \( 1\) , \( -\phi - 4\) , \( 1\bigr] \)
|
| 95.2-a6
| \( \bigl[\phi + 1\) , \( \phi - 1\) , \( 1\) , \( 74 \phi - 204\) , \( 460 \phi - 1109\bigr] \)
|
| 95.2-a7
| \( \bigl[\phi + 1\) , \( \phi - 1\) , \( 1\) , \( -26 \phi - 54\) , \( 80 \phi + 161\bigr] \)
|
| 95.2-a8
| \( \bigl[\phi + 1\) , \( \phi - 1\) , \( 1\) , \( -31 \phi - 34\) , \( -156 \phi - 113\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 3 & 4 & 12 & 6 & 2 & 12 & 4 \\
3 & 1 & 12 & 4 & 2 & 6 & 4 & 12 \\
4 & 12 & 1 & 12 & 6 & 2 & 3 & 4 \\
12 & 4 & 12 & 1 & 2 & 6 & 4 & 3 \\
6 & 2 & 6 & 2 & 1 & 3 & 2 & 6 \\
2 & 6 & 2 & 6 & 3 & 1 & 6 & 2 \\
12 & 4 & 3 & 4 & 2 & 6 & 1 & 12 \\
4 & 12 & 4 & 3 & 6 & 2 & 12 & 1
\end{array}\right)\)
