Properties

Base field \(\Q(\sqrt{-7}) \)
Label 2.0.7.1-26244.2-k
Conductor 26244.2
Rank not recorded

Related objects

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Base field \(\Q(\sqrt{-7}) \)

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

Elliptic curves in class 26244.2-k over \(\Q(\sqrt{-7}) \)

Isogeny class 26244.2-k contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
26244.2-k1 \( \bigl[1\) , \( -1\) , \( 1\) , \( -56\) , \( -161\bigr] \)
26244.2-k2 \( \bigl[1\) , \( -1\) , \( 1\) , \( 4\) , \( -1\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

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

Isogeny graph