Properties

Base field \(\Q(\sqrt{6}) \)
Label 2.2.24.1-375.2-f
Conductor 375.2
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 375.2-f over \(\Q(\sqrt{6}) \)

Isogeny class 375.2-f contains 4 curves linked by isogenies of degrees dividing 4.

Curve label Weierstrass Coefficients
375.2-f1 \( \bigl[1\) , \( 0\) , \( 1\) , \( -154 a - 387\) , \( -4879 a - 11963\bigr] \)
375.2-f2 \( \bigl[1\) , \( 0\) , \( 1\) , \( -19 a - 47\) , \( -15 a - 37\bigr] \)
375.2-f3 \( \bigl[1\) , \( 0\) , \( 1\) , \( -229 a - 562\) , \( -2969 a - 7273\bigr] \)
375.2-f4 \( \bigl[1\) , \( a\) , \( 1\) , \( 3117 a - 7635\) , \( -108499 a + 265765\bigr] \)

Rank

Rank: \( 0 \)

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