Base field \(\Q(\sqrt{229}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 57 \); class number \(3\).
Elliptic curves in class 4.1-c over \(\Q(\sqrt{229}) \)
Isogeny class 4.1-c contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
4.1-c1 | \( \bigl[a\) , \( -a\) , \( a + 1\) , \( -26 a - 78\) , \( a + 273\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)