Base field \(\Q(\sqrt{37}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 9 \); class number \(1\).
Elliptic curves in class 196.1-c over \(\Q(\sqrt{37}) \)
Isogeny class 196.1-c contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
196.1-c1 | \( \bigl[a\) , \( a\) , \( a + 1\) , \( -8 a - 22\) , \( 3 a + 7\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)