Properties

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

Isogeny class 870.3-b contains 2 curves linked by isogenies of degree 2.

Curve label Weierstrass Coefficients
870.3-b1 \( \bigl[1\) , \( 0\) , \( 1\) , \( 12 a - 37\) , \( -36 a + 80\bigr] \)
870.3-b2 \( \bigl[1\) , \( 0\) , \( 1\) , \( -48 a + 3\) , \( -300 a + 256\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph