Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 44800.5-e over \(\Q(\sqrt{-7}) \)
Isogeny class 44800.5-e contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 44800.5-e1 | \( \bigl[0\) , \( a\) , \( 0\) , \( -13 a + 10\) , \( a - 14\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
