Elliptic curve isogeny class 38025.3-b over number field \(\Q(\sqrt{-2}) \)

• Base field: \(\Q(\sqrt{-2}) \)
• Label: 2.0.8.1-38025.3-b
• Conductor: 38025.3
• Rank: \( 1 \)

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

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

Elliptic curves in class 38025.3-b over \(\Q(\sqrt{-2}) \)

Isogeny class 38025.3-b contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
38025.3-b1	\( \bigl[a\) , \( -1\) , \( 1\) , \( -4 a - 85\) , \( a - 285\bigr] \)
38025.3-b2	\( \bigl[a\) , \( -1\) , \( 1\) , \( -42 a - 41\) , \( -164 a + 33\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph