Base field \(\Q(\sqrt{21}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 5 \); class number \(1\).
Elliptic curves in class 2268.1-l over \(\Q(\sqrt{21}) \)
Isogeny class 2268.1-l contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
2268.1-l1 | \( \bigl[a\) , \( a\) , \( 1\) , \( a + 3\) , \( -a - 2\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)