Properties

Base field \(\Q(\sqrt{-7}) \)
Label 2.0.7.1-24336.3-a
Conductor 24336.3
Rank \( 1 \)

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 24336.3-a over \(\Q(\sqrt{-7}) \)

Isogeny class 24336.3-a contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
24336.3-a1 \( \bigl[0\) , \( -1\) , \( 0\) , \( -20\) , \( -24\bigr] \)
24336.3-a2 \( \bigl[0\) , \( -1\) , \( 0\) , \( -5\) , \( 6\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph