Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 35721.1-f over \(\Q(\sqrt{-7}) \)
Isogeny class 35721.1-f contains 2 curves linked by isogenies of degree 3.
| Curve label | Weierstrass Coefficients |
|---|---|
| 35721.1-f1 | \( \bigl[0\) , \( 0\) , \( 1\) , \( 0\) , \( 47\bigr] \) |
| 35721.1-f2 | \( \bigl[0\) , \( 0\) , \( 1\) , \( 0\) , \( -2\bigr] \) |
Rank
Rank: \( 2 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)
Isogeny graph
