Elliptic curve isogeny class 3625.3-a over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-3625.3-a
• Number of curves: 2
• Conductor: 3625.3
• Rank: \( 1 \)

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

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

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph

Elliptic curves in class 3625.3-a over \(\Q(\sqrt{-1}) \)

Isogeny class 3625.3-a contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
3625.3-a1	\( \bigl[i + 1\) , \( -i - 1\) , \( 1\) , \( -9 i - 10\) , \( 15 i + 11\bigr] \)
3625.3-a2	\( \bigl[i + 1\) , \( -1\) , \( i\) , \( 17 i + 11\) , \( -3 i + 29\bigr] \)