Elliptic curve isogeny class 368.2-a over number field \(\Q(\sqrt{2}) \)

• Base field: \(\Q(\sqrt{2}) \)
• Label: 2.2.8.1-368.2-a
• Conductor: 368.2
• Rank: \( 0 \)

Base field \(\Q(\sqrt{2}) \)

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

Elliptic curves in class 368.2-a over \(\Q(\sqrt{2}) \)

Isogeny class 368.2-a contains 2 curves linked by isogenies of degree 11.

Curve label	Weierstrass Coefficients
368.2-a1	\( \bigl[a\) , \( -a\) , \( 0\) , \( -3786 a - 5890\) , \( 161936 a + 233494\bigr] \)
368.2-a2	\( \bigl[a\) , \( -a\) , \( 0\) , \( -6 a - 10\) , \( -16 a - 26\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 11 \\ 11 & 1 \end{array}\right)\)

Isogeny graph