Properties

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

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

Curve label Weierstrass Coefficients
784.1-j1 \( \bigl[a\) , \( -a + 1\) , \( a\) , \( -38130 a - 93603\) , \( 5658147 a + 13860395\bigr] \)
784.1-j2 \( \bigl[a\) , \( 1\) , \( a\) , \( 555 a - 1365\) , \( -18351 a + 44942\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph