Elliptic curve isogeny class 75466.3-a over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-75466.3-a
• Conductor: 75466.3
• Rank: \( 0 \)

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

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

Elliptic curves in class 75466.3-a over \(\Q(\sqrt{-1}) \)

Isogeny class 75466.3-a contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
75466.3-a1	\( \bigl[i\) , \( -i + 1\) , \( 1\) , \( 194 i - 233\) , \( -1273 i + 1841\bigr] \)
75466.3-a2	\( \bigl[i\) , \( -i + 1\) , \( 1\) , \( -81 i - 3\) , \( -222 i + 156\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph