Base field \(\Q(\sqrt{29}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 7 \); class number \(1\).
Elliptic curves in class 35.4-a over \(\Q(\sqrt{29}) \)
Isogeny class 35.4-a contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 35.4-a1 | \( \bigl[a + 1\) , \( 1\) , \( 0\) , \( 4 a - 3\) , \( 5 a - 10\bigr] \) |
| 35.4-a2 | \( \bigl[a + 1\) , \( 1\) , \( 0\) , \( -a + 12\) , \( 13 a - 37\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
