Base field \(\Q(\sqrt{5}) \)
Generator \(\phi\), with minimal polynomial \( x^{2} - x - 1 \); class number \(1\).
Elliptic curves in class 4900.1-j over \(\Q(\sqrt{5}) \)
Isogeny class 4900.1-j contains 2 curves linked by isogenies of degree 3.
| Curve label | Weierstrass Coefficients |
|---|---|
| 4900.1-j1 | \( \bigl[1\) , \( 1\) , \( 0\) , \( -45\) , \( -185\bigr] \) |
| 4900.1-j2 | \( \bigl[1\) , \( 1\) , \( 0\) , \( 5\) , \( 5\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)
Isogeny graph
