Base field \(\Q(\sqrt{-11}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 3 \); class number \(1\).
Elliptic curves in class 22500.3-a over \(\Q(\sqrt{-11}) \)
Isogeny class 22500.3-a contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
22500.3-a1 | \( \bigl[1\) , \( -1\) , \( a + 1\) , \( 12 a - 5\) , \( -7 a + 4\bigr] \) |
Rank
Rank: \( 2 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)