Elliptic curve isogeny class 41616.1-d over number field \(\Q(\sqrt{-2}) \)

• Base field: \(\Q(\sqrt{-2}) \)
• Label: 2.0.8.1-41616.1-d
• Conductor: 41616.1
• Rank: \( 0 \)

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

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

Elliptic curves in class 41616.1-d over \(\Q(\sqrt{-2}) \)

Isogeny class 41616.1-d contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
41616.1-d1	\( \bigl[a\) , \( -1\) , \( a\) , \( -34 a + 414\) , \( 1578 a + 1061\bigr] \)
41616.1-d2	\( \bigl[0\) , \( 0\) , \( 0\) , \( 124 a + 664\) , \( 4424 a - 2777\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph