Elliptic curve isogeny class 39168.6-d over number field \(\Q(\sqrt{-2}) \)

• Base field: \(\Q(\sqrt{-2}) \)
• Label: 2.0.8.1-39168.6-d
• Conductor: 39168.6
• Rank: \( 0 \)

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

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

Elliptic curves in class 39168.6-d over \(\Q(\sqrt{-2}) \)

Isogeny class 39168.6-d contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
39168.6-d1	\( \bigl[0\) , \( a - 1\) , \( 0\) , \( 2 a - 8\) , \( -2 a - 14\bigr] \)
39168.6-d2	\( \bigl[0\) , \( a - 1\) , \( 0\) , \( -10 a + 4\) , \( -2 a + 22\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph