Base field \(\Q(\sqrt{65}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 16 \); class number \(2\).
Elliptic curves in class 196.5-h over \(\Q(\sqrt{65}) \)
Isogeny class 196.5-h contains 2 curves linked by isogenies of degree 5.
| Curve label | Weierstrass Coefficients |
|---|---|
| 196.5-h1 | \( \bigl[a\) , \( 1\) , \( 0\) , \( -123 a - 784\) , \( 2461 a + 5584\bigr] \) |
| 196.5-h2 | \( \bigl[a\) , \( 1\) , \( 0\) , \( 2 a + 16\) , \( -4 a\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)
Isogeny graph
