Base field \(\Q(\sqrt{41}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 10 \); class number \(1\).
Elliptic curves in class 86.1-b over \(\Q(\sqrt{41}) \)
Isogeny class 86.1-b contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
86.1-b1 | \( \bigl[1\) , \( -a - 1\) , \( 1\) , \( 318 a - 1171\) , \( -12614 a + 46688\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)