Properties

Base field \(\Q(\sqrt{6}) \)
Label 2.2.24.1-722.1-f
Conductor 722.1
Rank not recorded

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Base field \(\Q(\sqrt{6}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 6 \); class number \(1\).

Elliptic curves in class 722.1-f over \(\Q(\sqrt{6}) \)

Isogeny class 722.1-f contains 2 curves linked by isogenies of degree 5.

Curve label Weierstrass Coefficients
722.1-f1 \( \bigl[1\) , \( 1\) , \( 1\) , \( -70\) , \( -279\bigr] \)
722.1-f2 \( \bigl[1\) , \( 1\) , \( 1\) , \( 0\) , \( 1\bigr] \)

Rank

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Isogeny matrix

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph