Elliptic curve isogeny class 39204.13-b over number field \(\Q(\sqrt{-2}) \)

• Base field: \(\Q(\sqrt{-2}) \)
• Label: 2.0.8.1-39204.13-b
• Conductor: 39204.13
• Rank: \( 0 \)

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

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

Elliptic curves in class 39204.13-b over \(\Q(\sqrt{-2}) \)

Isogeny class 39204.13-b contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
39204.13-b1	\( \bigl[a\) , \( -a\) , \( 0\) , \( -40 a + 70\) , \( 138 a + 204\bigr] \)
39204.13-b2	\( \bigl[a\) , \( -a\) , \( a\) , \( 17 a + 77\) , \( -168 a + 29\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph