Elliptic curve isogeny class 76050.4-h over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-76050.4-h
• Conductor: 76050.4
• Rank: \( 0 \)

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

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

Elliptic curves in class 76050.4-h over \(\Q(\sqrt{-1}) \)

Isogeny class 76050.4-h contains 4 curves linked by isogenies of degrees dividing 4.

Curve label	Weierstrass Coefficients
76050.4-h1	\( \bigl[1\) , \( 1\) , \( i\) , \( 6201 i + 110\) , \( 134597 i - 1284\bigr] \)
76050.4-h2	\( \bigl[1\) , \( 1\) , \( i\) , \( -1629 i - 430\) , \( 16391 i + 1578\bigr] \)
76050.4-h3	\( \bigl[1\) , \( 1\) , \( i\) , \( -13299 i + 630\) , \( -382967 i + 449672\bigr] \)
76050.4-h4	\( \bigl[1\) , \( 1\) , \( i\) , \( -1389 i - 530\) , \( 20859 i - 5410\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph