Elliptic curve isogeny class 67600.6-b over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-67600.6-b
• Conductor: 67600.6
• Rank: \( 1 \)

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

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

Elliptic curves in class 67600.6-b over \(\Q(\sqrt{-1}) \)

Isogeny class 67600.6-b contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
67600.6-b1	\( \bigl[i + 1\) , \( i - 1\) , \( i + 1\) , \( -1107 i + 772\) , \( -1732 i - 18623\bigr] \)
67600.6-b2	\( \bigl[i + 1\) , \( i - 1\) , \( i + 1\) , \( -67 i - 8\) , \( -168 i + 129\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph