Elliptic curve isogeny class 76050.1-m over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-76050.1-m
• Conductor: 76050.1
• Rank: \( 0 \)

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

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

Elliptic curves in class 76050.1-m over \(\Q(\sqrt{-1}) \)

Isogeny class 76050.1-m contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
76050.1-m1	\( \bigl[1\) , \( 0\) , \( i + 1\) , \( 1275 i - 1810\) , \( -31919 i + 24350\bigr] \)
76050.1-m2	\( \bigl[1\) , \( 0\) , \( i + 1\) , \( 165 i - 80\) , \( 171 i + 980\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph