Base field \(\Q(\sqrt{29}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 7 \); class number \(1\).
Elliptic curves in class 16.1-a over \(\Q(\sqrt{29}) \)
Isogeny class 16.1-a contains 2 curves linked by isogenies of degree 7.
Curve label | Weierstrass Coefficients |
---|---|
16.1-a1 | \( \bigl[0\) , \( a - 1\) , \( 0\) , \( -2 a - 1\) , \( -3 a - 7\bigr] \) |
16.1-a2 | \( \bigl[0\) , \( -a\) , \( 0\) , \( 2 a - 3\) , \( 3 a - 10\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 7 \\ 7 & 1 \end{array}\right)\)