Properties

Base field \(\Q(\sqrt{6}) \)
Label 2.2.24.1-870.3-f
Conductor 870.3
Rank \( 0 \)

Related objects

Learn more

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

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

Elliptic curves in class 870.3-f over \(\Q(\sqrt{6}) \)

Isogeny class 870.3-f contains only one elliptic curve.

Curve label Weierstrass Coefficients
870.3-f1 \( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( -3 a - 4\) , \( -2 a - 7\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph