Base field \(\Q(\sqrt{217}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 54 \); class number \(1\).
Elliptic curves in class 6.4-a over \(\Q(\sqrt{217}) \)
Isogeny class 6.4-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
6.4-a1 | \( \bigl[1\) , \( a\) , \( a\) , \( 18\) , \( 4 a + 5\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)