Elliptic curve isogeny class 76050.6-h over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-76050.6-h
• Conductor: 76050.6
• Rank: \( 0 \)

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

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

Elliptic curves in class 76050.6-h over \(\Q(\sqrt{-1}) \)

Isogeny class 76050.6-h contains 4 curves linked by isogenies of degrees dividing 4.

Curve label	Weierstrass Coefficients
76050.6-h1	\( \bigl[1\) , \( 1\) , \( i\) , \( -6202 i + 110\) , \( -134597 i - 1284\bigr] \)
76050.6-h2	\( \bigl[1\) , \( 1\) , \( i\) , \( 1628 i - 430\) , \( -16391 i + 1578\bigr] \)
76050.6-h3	\( \bigl[1\) , \( 1\) , \( i\) , \( 13298 i + 630\) , \( 382967 i + 449672\bigr] \)
76050.6-h4	\( \bigl[1\) , \( 1\) , \( i\) , \( 1388 i - 530\) , \( -20859 i - 5410\bigr] \)

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