Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 26244.2-f over \(\Q(\sqrt{-7}) \)
Isogeny class 26244.2-f contains 2 curves linked by isogenies of degree 3.
| Curve label | Weierstrass Coefficients |
|---|---|
| 26244.2-f1 | \( \bigl[1\) , \( -1\) , \( a\) , \( -5 a\) , \( 5 a - 4\bigr] \) |
| 26244.2-f2 | \( \bigl[1\) , \( -1\) , \( a\) , \( 40 a - 15\) , \( 20 a + 103\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)
Isogeny graph
