Properties

Base field \(\Q(\sqrt{-2}) \)
Label 2.0.8.1-3249.5-a
Conductor 3249.5
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 3249.5-a over \(\Q(\sqrt{-2}) \)

Isogeny class 3249.5-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
3249.5-a1 \( \bigl[0\) , \( -1\) , \( 1\) , \( -2\) , \( 2\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph