Base field \(\Q(\sqrt{37}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 9 \); class number \(1\).
Elliptic curves in class 324.3-d over \(\Q(\sqrt{37}) \)
Isogeny class 324.3-d contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
324.3-d1 | \( \bigl[a\) , \( -1\) , \( 1\) , \( -2\) , \( -a + 2\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)