Properties

Base field \(\Q(\sqrt{21}) \)
Label 2.2.21.1-867.1-a
Conductor 867.1
Rank not recorded

Related objects

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Base field \(\Q(\sqrt{21}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x - 5 \); class number \(1\).

Elliptic curves in class 867.1-a over \(\Q(\sqrt{21}) \)

Isogeny class 867.1-a contains 2 curves linked by isogenies of degree 3.

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

Rank

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Isogeny matrix

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

Isogeny graph