Elliptic curve isogeny class 67600.2-d over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-67600.2-d
• Conductor: 67600.2
• Rank: \( 0 \)

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

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

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 7 \\ 7 & 1 \end{array}\right)\)

Isogeny graph

Elliptic curves in class 67600.2-d over \(\Q(\sqrt{-1}) \)

Isogeny class 67600.2-d contains 2 curves linked by isogenies of degree 7.

Curve label	Weierstrass Coefficients
67600.2-d1	\( \bigl[i + 1\) , \( i\) , \( 0\) , \( -3403 i - 2553\) , \( -116548 i - 19257\bigr] \)
67600.2-d2	\( \bigl[i + 1\) , \( i\) , \( i + 1\) , \( -44 i - 33\) , \( -245 i - 20\bigr] \)