Base field \(\Q(\sqrt{21}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 5 \); class number \(1\).
Elliptic curves in class 300.2-h over \(\Q(\sqrt{21}) \)
Isogeny class 300.2-h contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
300.2-h1 | \( \bigl[a + 1\) , \( -a + 1\) , \( 0\) , \( 5 a - 13\) , \( 4 a - 11\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)