Base field \(\Q(\sqrt{89}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 22 \); class number \(1\).
Elliptic curves in class 10.3-a over \(\Q(\sqrt{89}) \)
Isogeny class 10.3-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
10.3-a1 | \( \bigl[a + 1\) , \( 1\) , \( a\) , \( -19676 a - 82976\) , \( 7368038 a + 31070944\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)