Elliptic curve isogeny class 5202.5-b over number field \(\Q(\sqrt{-2}) \)

• Base field: \(\Q(\sqrt{-2}) \)
• Label: 2.0.8.1-5202.5-b
• Conductor: 5202.5
• Rank: \( 0 \)

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

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

Elliptic curves in class 5202.5-b over \(\Q(\sqrt{-2}) \)

Isogeny class 5202.5-b contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
5202.5-b1	\( \bigl[1\) , \( 1\) , \( 0\) , \( 33 a + 50\) , \( 36 a - 134\bigr] \)
5202.5-b2	\( \bigl[1\) , \( 1\) , \( 0\) , \( 513 a + 690\) , \( 3204 a - 11142\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph