Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 18488.5-a over \(\Q(\sqrt{-7}) \)
Isogeny class 18488.5-a contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 18488.5-a1 | \( \bigl[a + 1\) , \( -a\) , \( a + 1\) , \( -36 a + 48\) , \( 36 a + 132\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
