Elliptic curve isogeny class 67600.1-e over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-67600.1-e
• Conductor: 67600.1
• Rank: \( 0 \)

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

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

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph

Elliptic curves in class 67600.1-e over \(\Q(\sqrt{-1}) \)

Isogeny class 67600.1-e contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
67600.1-e1	\( \bigl[i + 1\) , \( i\) , \( 0\) , \( 29 i - 379\) , \( -3876 i + 1497\bigr] \)
67600.1-e2	\( \bigl[i + 1\) , \( i\) , \( 0\) , \( 649 i + 2461\) , \( -33648 i + 20493\bigr] \)