Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 24964.5-e over \(\Q(\sqrt{-7}) \)
Isogeny class 24964.5-e contains 2 curves linked by isogenies of degree 5.
| Curve label | Weierstrass Coefficients |
|---|---|
| 24964.5-e1 | \( \bigl[1\) , \( 1\) , \( 1\) , \( -420\) , \( 3109\bigr] \) |
| 24964.5-e2 | \( \bigl[1\) , \( 1\) , \( 1\) , \( -23380\) , \( -1385691\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)
Isogeny graph
