Base field \(\Q(\sqrt{29}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 7 \); class number \(1\).
Elliptic curves in class 900.1-o over \(\Q(\sqrt{29}) \)
Isogeny class 900.1-o contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
900.1-o1 | \( \bigl[a\) , \( a + 1\) , \( a + 1\) , \( -81 a - 332\) , \( 935 a + 1320\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)