Elliptic curve isogeny class 39204.8-c over number field \(\Q(\sqrt{-2}) \)

• Base field: \(\Q(\sqrt{-2}) \)
• Label: 2.0.8.1-39204.8-c
• Conductor: 39204.8
• Rank: \( 1 \)

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

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

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph

Elliptic curves in class 39204.8-c over \(\Q(\sqrt{-2}) \)

Isogeny class 39204.8-c contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
39204.8-c1	\( \bigl[0\) , \( 0\) , \( 0\) , \( -24 a + 12\) , \( 38 a + 107\bigr] \)
39204.8-c2	\( \bigl[a\) , \( -1\) , \( a\) , \( 39 a + 16\) , \( -40 a - 154\bigr] \)