Properties

Base field \(\Q(\sqrt{6}) \)
Label 2.2.24.1-392.1-c
Conductor 392.1
Rank not recorded

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

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

Elliptic curves in class 392.1-c over \(\Q(\sqrt{6}) \)

Isogeny class 392.1-c contains 4 curves linked by isogenies of degrees dividing 4.

Curve label Weierstrass Coefficients
392.1-c1 \( \bigl[a\) , \( 0\) , \( a\) , \( 5 a + 10\) , \( 52 a + 126\bigr] \)
392.1-c2 \( \bigl[a\) , \( 0\) , \( a\) , \( -295 a - 725\) , \( -3563 a - 8729\bigr] \)
392.1-c3 \( \bigl[a\) , \( 0\) , \( a\) , \( 95 a - 235\) , \( -695 a + 1701\bigr] \)
392.1-c4 \( \bigl[a\) , \( 0\) , \( a\) , \( -1495 a - 3665\) , \( 48505 a + 118811\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

\(\left(\begin{array}{rrrr} 1 & 4 & 2 & 4 \\ 4 & 1 & 2 & 4 \\ 2 & 2 & 1 & 2 \\ 4 & 4 & 2 & 1 \end{array}\right)\)

Isogeny graph