Properties

Base field \(\Q(\sqrt{6}) \)
Label 2.2.24.1-800.3-g
Conductor 800.3
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 800.3-g over \(\Q(\sqrt{6}) \)

Isogeny class 800.3-g contains only one elliptic curve.

Curve label Weierstrass Coefficients
800.3-g1 \( \bigl[a\) , \( -a + 1\) , \( a\) , \( 121 a - 297\) , \( 1380 a - 3382\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph