Elliptic curve isogeny class 52000.5-d over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-52000.5-d
• Conductor: 52000.5
• Rank: \( 1 \)

Base field \(\Q(\sqrt{-1}) \)

Generator \(i\), with minimal polynomial \( x^{2} + 1 \); 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 52000.5-d over \(\Q(\sqrt{-1}) \)

Isogeny class 52000.5-d contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
52000.5-d1	\( \bigl[i + 1\) , \( -i\) , \( i + 1\) , \( 31 i - 72\) , \( -114\bigr] \)
52000.5-d2	\( \bigl[i + 1\) , \( 0\) , \( i + 1\) , \( 26 i - 37\) , \( 90 i - 73\bigr] \)