Elliptic curve isogeny class 4225.1-a over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-4225.1-a
• Conductor: 4225.1
• Rank: \( 0 \)

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

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

Elliptic curves in class 4225.1-a over \(\Q(\sqrt{-1}) \)

Isogeny class 4225.1-a contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
4225.1-a1	\( \bigl[1\) , \( -1\) , \( 0\) , \( 16 i - 10\) , \( -28 i - 35\bigr] \)
4225.1-a2	\( \bigl[1\) , \( -1\) , \( 0\) , \( -79 i + 100\) , \( -279 i - 367\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph