Properties

Base field \(\Q(\sqrt{-2}) \)
Label 2.0.8.1-27864.8-b
Conductor 27864.8
Rank \( 1 \)

Related objects

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Base field \(\Q(\sqrt{-2}) \)

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

Elliptic curves in class 27864.8-b over \(\Q(\sqrt{-2}) \)

Isogeny class 27864.8-b contains only one elliptic curve.

Curve label Weierstrass Coefficients
27864.8-b1 \( \bigl[a\) , \( a + 1\) , \( a\) , \( -3 a + 13\) , \( -2 a + 6\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph