Base field \(\Q(\sqrt{37}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 9 \); class number \(1\).
Elliptic curves in class 25.1-c over \(\Q(\sqrt{37}) \)
Isogeny class 25.1-c contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
25.1-c1 | \( \bigl[0\) , \( -a + 1\) , \( 1\) , \( -2 a - 2\) , \( -a - 2\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)