Properties

Base field \(\Q(\sqrt{-11}) \)
Label 2.0.11.1-20164.2-d
Conductor 20164.2
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 20164.2-d over \(\Q(\sqrt{-11}) \)

Isogeny class 20164.2-d contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
20164.2-d1 \( \bigl[1\) , \( 0\) , \( 0\) , \( -58\) , \( -170\bigr] \)
20164.2-d2 \( \bigl[1\) , \( 0\) , \( 0\) , \( -8\) , \( 8\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

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

Isogeny graph