Properties

Base field \(\Q(\sqrt{-11}) \)
Label 2.0.11.1-1100.2-b
Conductor 1100.2
Rank \( 0 \)

Related objects

Learn more

Base field \(\Q(\sqrt{-11}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x + 3 \); class number \(1\).

Elliptic curves in class 1100.2-b over \(\Q(\sqrt{-11}) \)

Isogeny class 1100.2-b contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
1100.2-b1 \( \bigl[1\) , \( 0\) , \( 0\) , \( -1\) , \( 1\bigr] \)
1100.2-b2 \( \bigl[1\) , \( 0\) , \( 0\) , \( 9\) , \( -25\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph