Base field \(\Q(\sqrt{7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 7 \); class number \(1\).
Elliptic curves in class 338.1-p over \(\Q(\sqrt{7}) \)
Isogeny class 338.1-p contains 2 curves linked by isogenies of degree 7.
| Curve label | Weierstrass Coefficients |
|---|---|
| 338.1-p1 | \( \bigl[a\) , \( -1\) , \( a\) , \( -216\) , \( 1255\bigr] \) |
| 338.1-p2 | \( \bigl[a\) , \( -1\) , \( a\) , \( -6\) , \( -5\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 7 \\ 7 & 1 \end{array}\right)\)
Isogeny graph
