Properties

Base field \(\Q(\sqrt{21}) \)
Label 2.2.21.1-847.1-e
Conductor 847.1
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 847.1-e over \(\Q(\sqrt{21}) \)

Isogeny class 847.1-e contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
847.1-e1 \( \bigl[1\) , \( 1\) , \( 0\) , \( 4\) , \( 11\bigr] \)
847.1-e2 \( \bigl[1\) , \( 1\) , \( 0\) , \( -51\) , \( 110\bigr] \)

Rank

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Isogeny matrix

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

Isogeny graph