Elliptic curve isogeny class 67600.4-c over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-67600.4-c
• Conductor: 67600.4
• Rank: \( 0 \)

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

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

Elliptic curves in class 67600.4-c over \(\Q(\sqrt{-1}) \)

Isogeny class 67600.4-c contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
67600.4-c1	\( \bigl[0\) , \( -i - 1\) , \( 0\) , \( -456 i - 758\) , \( 8016 i + 7137\bigr] \)
67600.4-c2	\( \bigl[i + 1\) , \( -i - 1\) , \( i + 1\) , \( -104 i + 386\) , \( 1923 i + 3129\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph