Base field \(\Q(\sqrt{37}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 9 \); class number \(1\).
Elliptic curves in class 324.3-e over \(\Q(\sqrt{37}) \)
Isogeny class 324.3-e contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
324.3-e1 | \( \bigl[1\) , \( -a\) , \( a + 1\) , \( -8 a - 44\) , \( 14 a + 65\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)