Elliptic curve isogeny class 32400.3-d over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-32400.3-d
• Conductor: 32400.3
• Rank: \( 0 \)

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

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

Elliptic curves in class 32400.3-d over \(\Q(\sqrt{-1}) \)

Isogeny class 32400.3-d contains 2 curves linked by isogenies of degree 5.

Curve label	Weierstrass Coefficients
32400.3-d1	\( \bigl[i + 1\) , \( i\) , \( i + 1\) , \( 62 i - 123\) , \( 629 i + 502\bigr] \)
32400.3-d2	\( \bigl[i + 1\) , \( i\) , \( 0\) , \( -27 i + 207\) , \( 972 i + 567\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph