Base field \(\Q(\sqrt{-3}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 1 \); class number \(1\).
Elliptic curves in class 11236.1-b over \(\Q(\sqrt{-3}) \)
Isogeny class 11236.1-b contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
11236.1-b1 | \( \bigl[a + 1\) , \( a\) , \( 1\) , \( -7 a + 6\) , \( 12\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)