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

• Base field: \(\Q(\sqrt{-2}) \)
• Label: 2.0.8.1-46818.8-p
• 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-p over \(\Q(\sqrt{-2}) \)

Isogeny class 46818.8-p contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
46818.8-p1	\( \bigl[a + 1\) , \( a + 1\) , \( 1\) , \( 28 a - 14\) , \( 55 a + 5\bigr] \)
46818.8-p2	\( \bigl[1\) , \( -1\) , \( 1\) , \( -78 a - 17\) , \( -252 a + 245\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph