Base field \(\Q(\sqrt{21}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 5 \); class number \(1\).
Elliptic curves in class 1764.1-m over \(\Q(\sqrt{21}) \)
Isogeny class 1764.1-m contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 1764.1-m1 | \( \bigl[a\) , \( a\) , \( a + 1\) , \( -19 a - 34\) , \( 42 a + 75\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
