Elliptic curve isogeny class 7225.3-b over number field \(\Q(\sqrt{-1}) \)

• Base field: \(\Q(\sqrt{-1}) \)
• Label: 2.0.4.1-7225.3-b
• Conductor: 7225.3
• Rank: \( 1 \)

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

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

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph

Elliptic curves in class 7225.3-b over \(\Q(\sqrt{-1}) \)

Isogeny class 7225.3-b contains 2 curves linked by isogenies of degree 5.

Curve label	Weierstrass Coefficients
7225.3-b1	\( \bigl[0\) , \( i - 1\) , \( 1\) , \( 1609 i + 3376\) , \( 69753 i - 56154\bigr] \)
7225.3-b2	\( \bigl[0\) , \( i - 1\) , \( 1\) , \( -51 i - 14\) , \( 133 i - 34\bigr] \)