Base field \(\Q(\sqrt{-11}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 3 \); class number \(1\).
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 19200.3-q over \(\Q(\sqrt{-11}) \)
Isogeny class 19200.3-q contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 19200.3-q1 | \( \bigl[0\) , \( a - 1\) , \( 0\) , \( -16 a + 24\) , \( 32 a - 96\bigr] \) |