Properties

Base field \(\Q(\sqrt{6}) \)
Label 2.2.24.1-870.3-e
Conductor 870.3
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 870.3-e over \(\Q(\sqrt{6}) \)

Isogeny class 870.3-e contains only one elliptic curve.

Curve label Weierstrass Coefficients
870.3-e1 \( \bigl[1\) , \( -a + 1\) , \( a\) , \( 105 a - 348\) , \( -1596 a + 3570\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph