Base field \(\Q(\sqrt{-11}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x + 3 \); class number \(1\).
Elliptic curves in class 22500.3-r over \(\Q(\sqrt{-11}) \)
Isogeny class 22500.3-r contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
22500.3-r1 | \( \bigl[a\) , \( -a\) , \( a + 1\) , \( -2 a - 102\) , \( 57 a + 37\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)