Properties

Base field \(\Q(\sqrt{2}) \)
Label 2.2.8.1-1444.1-d
Conductor 1444.1
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 1444.1-d over \(\Q(\sqrt{2}) \)

Isogeny class 1444.1-d contains only one elliptic curve.

Curve label Weierstrass Coefficients
1444.1-d1 \( \bigl[0\) , \( 1\) , \( a\) , \( -5\) , \( -7\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph