Base field \(\Q(\sqrt{21}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 5 \); class number \(1\).
Elliptic curves in class 1764.1-d over \(\Q(\sqrt{21}) \)
Isogeny class 1764.1-d contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
1764.1-d1 | \( \bigl[a + 1\) , \( a + 1\) , \( a\) , \( 9\) , \( 3 a - 8\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)