Base field \(\Q(\sqrt{5}) \)
Generator \(\phi\), with minimal polynomial \( x^{2} - x - 1 \); class number \(1\).
Elliptic curves in class 1225.1-a over \(\Q(\sqrt{5}) \)
Isogeny class 1225.1-a contains 2 curves linked by isogenies of degree 5.
| Curve label | Weierstrass Coefficients |
|---|---|
| 1225.1-a1 | \( \bigl[0\) , \( -1\) , \( 1\) , \( -148\) , \( 748\bigr] \) |
| 1225.1-a2 | \( \bigl[0\) , \( -1\) , \( 1\) , \( 2\) , \( -2\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)
Isogeny graph
