Elliptic curve isogeny class 3770.4-d over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-3770.4-d
• Conductor: 3770.4
• Rank: \( 0 \)

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

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

Elliptic curves in class 3770.4-d over \(\Q(\sqrt{-1}) \)

Isogeny class 3770.4-d contains 2 curves linked by isogenies of degree 7.

Curve label	Weierstrass Coefficients
3770.4-d1	\( \bigl[1\) , \( i + 1\) , \( i + 1\) , \( -7 i + 5\) , \( 4 i + 4\bigr] \)
3770.4-d2	\( \bigl[i\) , \( -i - 1\) , \( i + 1\) , \( 528 i + 601\) , \( 3310 i - 7479\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph