Elliptic curve isogeny class 50.3-i over number field \(\Q(\sqrt{26}) \)

• Base field: \(\Q(\sqrt{26}) \)
• Label: 2.2.104.1-50.3-i
• Conductor: 50.3
• Rank: \( 0 \)

Base field \(\Q(\sqrt{26}) \)

Generator \(a\), with minimal polynomial \( x^{2} - 26 \); class number \(2\).

Elliptic curves in class 50.3-i over \(\Q(\sqrt{26}) \)

Isogeny class 50.3-i contains 2 curves linked by isogenies of degree 5.

Curve label	Weierstrass Coefficients
50.3-i1	\( \bigl[a + 1\) , \( -1\) , \( 1\) , \( -16 a - 74\) , \( 43 a + 211\bigr] \)
50.3-i2	\( \bigl[a\) , \( a\) , \( a\) , \( 174 a + 869\) , \( 13933 a + 71030\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph