Properties

Base field \(\Q(\sqrt{6}) \)
Label 2.2.24.1-648.1-e
Conductor 648.1
Rank \( 0 \)

Related objects

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Base field \(\Q(\sqrt{6}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 6 \); class number \(1\).

Elliptic curves in class 648.1-e over \(\Q(\sqrt{6}) \)

Isogeny class 648.1-e contains only one elliptic curve.

Curve label Weierstrass Coefficients
648.1-e1 \( \bigl[0\) , \( 0\) , \( a\) , \( -3\) , \( -4\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph