Base field \(\Q(\sqrt{-11}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 3 \); class number \(1\).
Elliptic curves in class 6561.4-b over \(\Q(\sqrt{-11}) \)
Isogeny class 6561.4-b contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 6561.4-b1 | \( \bigl[0\) , \( 0\) , \( a + 1\) , \( -27 a\) , \( 69 a - 76\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
