Elliptic curve isogeny class 96800.3-a over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-96800.3-a
• Conductor: 96800.3
• Rank: \( 0 \)

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

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

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph

Elliptic curves in class 96800.3-a over \(\Q(\sqrt{-1}) \)

Isogeny class 96800.3-a contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
96800.3-a1	\( \bigl[0\) , \( i\) , \( 0\) , \( -46 i + 30\) , \( -54 i + 112\bigr] \)
96800.3-a2	\( \bigl[0\) , \( -1\) , \( 0\) , \( -36 i + 44\) , \( 118 i + 36\bigr] \)