Elliptic curve isogeny class 46818.8-o over number field \(\Q(\sqrt{-2}) \)

• Base field: \(\Q(\sqrt{-2}) \)
• Label: 2.0.8.1-46818.8-o
• Conductor: 46818.8
• Rank: \( 1 \)

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

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

Elliptic curves in class 46818.8-o over \(\Q(\sqrt{-2}) \)

Isogeny class 46818.8-o contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
46818.8-o1	\( \bigl[1\) , \( -1\) , \( a + 1\) , \( -248 a - 1019\) , \( 4640 a + 12223\bigr] \)
46818.8-o2	\( \bigl[1\) , \( -1\) , \( a + 1\) , \( -8 a - 59\) , \( 128 a + 223\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph