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

• Base field: \(\Q(\sqrt{-2}) \)
• Label: 2.0.8.1-46818.8-g
• Conductor: 46818.8
• Rank: \( 0 \)

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

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

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

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

Curve label	Weierstrass Coefficients
46818.8-g1	\( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 261 a + 1011\) , \( 8904 a - 6811\bigr] \)
46818.8-g2	\( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 21 a + 51\) , \( 216 a - 91\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph