Properties

Base field \(\Q(\sqrt{-2}) \)
Label 2.0.8.1-32400.2-a
Conductor 32400.2
Rank \( 0 \)

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 32400.2-a over \(\Q(\sqrt{-2}) \)

Isogeny class 32400.2-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
32400.2-a1 \( \bigl[a\) , \( a\) , \( a\) , \( 7 a - 7\) , \( -46 a - 53\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph