Base field \(\Q(\sqrt{29}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 7 \); class number \(1\).
Elliptic curves in class 725.1-e over \(\Q(\sqrt{29}) \)
Isogeny class 725.1-e contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 725.1-e1 | \( \bigl[1\) , \( -1\) , \( 1\) , \( 2\) , \( 6\bigr] \) |
| 725.1-e2 | \( \bigl[1\) , \( -1\) , \( 1\) , \( -3\) , \( 2\bigr] \) |
Rank
Rank: \( 2 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
