Base field \(\Q(\sqrt{29}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 7 \); class number \(1\).
Elliptic curves in class 441.1-d over \(\Q(\sqrt{29}) \)
Isogeny class 441.1-d contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
441.1-d1 | \( \bigl[0\) , \( a - 1\) , \( a + 1\) , \( -5 a - 8\) , \( 16 a + 34\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)