Properties

Base field \(\Q(\sqrt{2}) \)
Label 2.2.8.1-2414.2-a
Conductor 2414.2
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 2414.2-a over \(\Q(\sqrt{2}) \)

Isogeny class 2414.2-a contains only one elliptic curve.

Curve label Weierstrass Coefficients
2414.2-a1 \( \bigl[1\) , \( a - 1\) , \( 1\) , \( -332 a - 328\) , \( -3053 a - 4525\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph