Base field \(\Q(\sqrt{57}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 14 \); class number \(1\).
Elliptic curves in class 228.1-r over \(\Q(\sqrt{57}) \)
Isogeny class 228.1-r contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
228.1-r1 | \( \bigl[1\) , \( a + 1\) , \( 0\) , \( 9 a - 29\) , \( -181 a + 779\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)