Properties

Base field \(\Q(\sqrt{-7}) \)
Label 2.0.7.1-26896.5-b
Conductor 26896.5
Rank \( 2 \)

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 26896.5-b over \(\Q(\sqrt{-7}) \)

Isogeny class 26896.5-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
26896.5-b1 \( \bigl[0\) , \( -a - 1\) , \( a + 1\) , \( -22 a - 9\) , \( -46 a + 12\bigr] \)

Rank

Rank: \( 2 \)

Isogeny matrix

\(\left(\begin{array}{r} 1 \end{array}\right)\)

Isogeny graph