Properties

Base field \(\Q(\sqrt{6}) \)
Label 2.2.24.1-338.1-a
Conductor 338.1
Rank \( 1 \)

Related objects

Learn more

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

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

Elliptic curves in class 338.1-a over \(\Q(\sqrt{6}) \)

Isogeny class 338.1-a contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
338.1-a1 \( \bigl[1\) , \( a\) , \( 1\) , \( -8 a - 4\) , \( 7 a + 10\bigr] \)
338.1-a2 \( \bigl[1\) , \( a\) , \( 1\) , \( 32 a - 99\) , \( 191 a - 426\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph