Base field \(\Q(\sqrt{21}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 5 \); class number \(1\).
Elliptic curves in class 1225.1-c over \(\Q(\sqrt{21}) \)
Isogeny class 1225.1-c contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 1225.1-c1 | \( \bigl[0\) , \( 0\) , \( 1\) , \( 35 a - 98\) , \( 294 a - 821\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
