Elliptic curve isogeny class 29241.8-c over number field \(\Q(\sqrt{-2}) \)

• Base field: \(\Q(\sqrt{-2}) \)
• Label: 2.0.8.1-29241.8-c
• Conductor: 29241.8
• Rank: \( 1 \)

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

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

Elliptic curves in class 29241.8-c over \(\Q(\sqrt{-2}) \)

Isogeny class 29241.8-c contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
29241.8-c1	\( \bigl[a\) , \( -1\) , \( a + 1\) , \( 19 a - 56\) , \( -100 a + 181\bigr] \)
29241.8-c2	\( \bigl[a\) , \( -1\) , \( 1\) , \( 10 a + 6\) , \( 4 a - 85\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph