Base field \(\Q(\sqrt{89}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 22 \); class number \(1\).
Elliptic curves in class 10.2-a over \(\Q(\sqrt{89}) \)
Isogeny class 10.2-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
10.2-a1 | \( \bigl[a\) , \( -a - 1\) , \( 1\) , \( 19676 a - 102652\) , \( -7387714 a + 38541634\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)