Base field \(\Q(\sqrt{21}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 5 \); class number \(1\).
Elliptic curves in class 2268.1-b over \(\Q(\sqrt{21}) \)
Isogeny class 2268.1-b contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
2268.1-b1 | \( \bigl[a + 1\) , \( 0\) , \( 0\) , \( 2205 a + 3969\) , \( 37704 a + 67553\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)