Base field \(\Q(\sqrt{-7}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); class number \(1\).
Elliptic curves in class 42592.18-i over \(\Q(\sqrt{-7}) \)
Isogeny class 42592.18-i contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 42592.18-i1 | \( \bigl[a + 1\) , \( -a\) , \( 0\) , \( 70 a - 166\) , \( 424 a - 620\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
