Base field \(\Q(\sqrt{41}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 10 \); class number \(1\).
Elliptic curves in class 576.1-e over \(\Q(\sqrt{41}) \)
Isogeny class 576.1-e contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
576.1-e1 | \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 109 a - 402\) , \( -981 a + 3631\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)