Base field \(\Q(\sqrt{37}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 9 \); class number \(1\).
Elliptic curves in class 324.3-a over \(\Q(\sqrt{37}) \)
Isogeny class 324.3-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
324.3-a1 | \( \bigl[1\) , \( a + 1\) , \( 0\) , \( -757 a - 1934\) , \( 31065 a + 78933\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)