Base field \(\Q(\sqrt{-2}) \)
Generator \(a\), with minimal polynomial \( x^{2} + 2 \); class number \(1\).
Elliptic curves in class 14112.1-f over \(\Q(\sqrt{-2}) \)
Isogeny class 14112.1-f contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 14112.1-f1 | \( \bigl[a\) , \( -1\) , \( a\) , \( 40 a - 43\) , \( 146 a - 31\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
