Base field \(\Q(\sqrt{197}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 49 \); class number \(1\).
Elliptic curves in class 23.1-a over \(\Q(\sqrt{197}) \)
Isogeny class 23.1-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 23.1-a1 | \( \bigl[1\) , \( 1\) , \( 0\) , \( a - 7\) , \( 4 a - 30\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
