Elliptic curve isogeny class 338.1-c over number field \(\Q(\sqrt{6}) \)

• Base field: \(\Q(\sqrt{6}) \)
• Label: 2.2.24.1-338.1-c
• Conductor: 338.1
• Rank: \( 0 \)

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

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

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

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

Curve label	Weierstrass Coefficients
338.1-c1	\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( 450 a - 1104\) , \( 12656 a - 31000\bigr] \)
338.1-c2	\( \bigl[a + 1\) , \( a\) , \( a\) , \( 291 a + 712\) , \( -290 a - 712\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph