Properties

Base field \(\Q(\sqrt{6}) \)
Label 2.2.24.1-784.1-g
Conductor 784.1
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 784.1-g over \(\Q(\sqrt{6}) \)

Isogeny class 784.1-g contains 2 curves linked by isogenies of degree 5.

Curve label Weierstrass Coefficients
784.1-g1 \( \bigl[a\) , \( a + 1\) , \( 0\) , \( 3795 a - 11196\) , \( 224064 a - 580567\bigr] \)
784.1-g2 \( \bigl[a\) , \( a + 1\) , \( 0\) , \( -85 a - 236\) , \( 624 a + 1433\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph