Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 4900.2-k over \(\Q(\sqrt{-7}) \)
Isogeny class 4900.2-k contains 2 curves linked by isogenies of degree 7.
| Curve label | Weierstrass Coefficients |
|---|---|
| 4900.2-k1 | \( \bigl[1\) , \( -1\) , \( 1\) , \( -132\) , \( -549\bigr] \) |
| 4900.2-k2 | \( \bigl[1\) , \( -1\) , \( 1\) , \( 918\) , \( 5289\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 7 \\ 7 & 1 \end{array}\right)\)
Isogeny graph
