Base field \(\Q(\sqrt{89}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 22 \); class number \(1\).
Elliptic curves in class 16.2-b over \(\Q(\sqrt{89}) \)
Isogeny class 16.2-b contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
16.2-b1 | \( \bigl[a + 1\) , \( -a\) , \( 0\) , \( 35147 a + 148230\) , \( -6225753 a - 26253930\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)