Elliptic curve isogeny class 76050.5-b over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-76050.5-b
• Conductor: 76050.5
• Rank: \( 0 \)

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

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

Elliptic curves in class 76050.5-b over \(\Q(\sqrt{-1}) \)

Isogeny class 76050.5-b contains 4 curves linked by isogenies of degrees dividing 4.

Curve label	Weierstrass Coefficients
76050.5-b1	\( \bigl[i\) , \( 0\) , \( i\) , \( -288\) , \( -3092\bigr] \)
76050.5-b2	\( \bigl[i\) , \( 0\) , \( i\) , \( -6208\) , \( -104276\bigr] \)
76050.5-b3	\( \bigl[i\) , \( 0\) , \( i\) , \( -5408\) , \( -152596\bigr] \)
76050.5-b4	\( \bigl[i\) , \( 0\) , \( i\) , \( -86528\) , \( -9789652\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rrrr} 1 & 4 & 2 & 4 \\ 4 & 1 & 2 & 4 \\ 2 & 2 & 1 & 2 \\ 4 & 4 & 2 & 1 \end{array}\right)\)

Isogeny graph