Base field \(\Q(\sqrt{89}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 22 \); class number \(1\).
Elliptic curves in class 16.3-c over \(\Q(\sqrt{89}) \)
Isogeny class 16.3-c contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
16.3-c1 | \( \bigl[a\) , \( -a\) , \( 0\) , \( -a + 6\) , \( 5 a - 26\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)