Elliptic curve isogeny class 50080.3-b over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-50080.3-b
• Conductor: 50080.3
• Rank: \( 0 \)

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

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

Elliptic curves in class 50080.3-b over \(\Q(\sqrt{-1}) \)

Isogeny class 50080.3-b contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
50080.3-b1	\( \bigl[0\) , \( i + 1\) , \( 0\) , \( 4 i - 3\) , \( -3 i - 3\bigr] \)
50080.3-b2	\( \bigl[i + 1\) , \( -i - 1\) , \( 0\) , \( 2 i - 4\) , \( 5\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph