Base field \(\Q(\sqrt{-163}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 41 \); class number \(1\).
Elliptic curves in class 244.1-a over \(\Q(\sqrt{-163}) \)
Isogeny class 244.1-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
244.1-a1 | \( \bigl[a\) , \( -a\) , \( 1\) , \( 5 a + 26\) , \( -9 a - 7\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)