Base field \(\Q(\sqrt{37}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 9 \); class number \(1\).
Elliptic curves in class 196.1-e over \(\Q(\sqrt{37}) \)
Isogeny class 196.1-e contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
196.1-e1 | \( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( 13 a - 25\) , \( -21 a + 103\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)