Base field \(\Q(\sqrt{35}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 35 \); class number \(2\).
Elliptic curves in class 19.1-d over \(\Q(\sqrt{35}) \)
Isogeny class 19.1-d contains 2 curves linked by isogenies of degree 5.
| Curve label | Weierstrass Coefficients |
|---|---|
| 19.1-d1 | \( \bigl[0\) , \( 0\) , \( 0\) , \( 2 a - 13\) , \( 4 a - 24\bigr] \) |
| 19.1-d2 | \( \bigl[0\) , \( 0\) , \( 0\) , \( -38 a - 53\) , \( 116 a + 1096\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)
Isogeny graph
