Properties

Base field \(\Q(\sqrt{-11}) \)
Label 2.0.11.1-21025.2-a
Conductor 21025.2
Rank not recorded

Related objects

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

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

Elliptic curves in class 21025.2-a over \(\Q(\sqrt{-11}) \)

Isogeny class 21025.2-a contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
21025.2-a1 \( \bigl[1\) , \( -1\) , \( 1\) , \( 2\) , \( 6\bigr] \)
21025.2-a2 \( \bigl[1\) , \( -1\) , \( 1\) , \( -3\) , \( 2\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph