Properties

Base field \(\Q(\sqrt{6}) \)
Label 2.2.24.1-150.1-a
Conductor 150.1
Rank \( 0 \)

Related objects

Learn more

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

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

Elliptic curves in class 150.1-a over \(\Q(\sqrt{6}) \)

Isogeny class 150.1-a contains 4 curves linked by isogenies of degrees dividing 4.

Curve label Weierstrass Coefficients
150.1-a1 \( \bigl[1\) , \( 1\) , \( a + 1\) , \( -5 a - 13\) , \( -15 a - 37\bigr] \)
150.1-a2 \( \bigl[1\) , \( 1\) , \( a + 1\) , \( -75 a - 273\) , \( -519 a - 1641\bigr] \)
150.1-a3 \( \bigl[1\) , \( 1\) , \( a + 1\) , \( -85 a - 213\) , \( -711 a - 1749\bigr] \)
150.1-a4 \( \bigl[1\) , \( 1\) , \( a + 1\) , \( -1375 a - 3353\) , \( -43847 a - 107425\bigr] \)

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