Properties

Base field \(\Q(\sqrt{-11}) \)
Label 2.0.11.1-2601.2-a
Conductor 2601.2
Rank \( 0 \)

Related objects

Learn more about

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

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

Elliptic curves in class 2601.2-a over \(\Q(\sqrt{-11}) \)

Isogeny class 2601.2-a contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
2601.2-a1 \( \bigl[0\) , \( 1\) , \( 1\) , \( -59\) , \( -196\bigr] \)
2601.2-a2 \( \bigl[0\) , \( 1\) , \( 1\) , \( 1\) , \( -1\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph