Elliptic curve isogeny class 2050.3-a over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-2050.3-a
• Conductor: 2050.3
• Rank: \( 0 \)

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

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

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph

Elliptic curves in class 2050.3-a over \(\Q(\sqrt{-1}) \)

Isogeny class 2050.3-a contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
2050.3-a1	\( \bigl[1\) , \( i - 1\) , \( 1\) , \( 141 i - 27\) , \( 636 i + 58\bigr] \)
2050.3-a2	\( \bigl[1\) , \( i - 1\) , \( 1\) , \( -2099 i - 1722\) , \( 52270 i + 13920\bigr] \)