Elliptic curve isogeny class 25.1-b over number field 3.3.1620.1

• Base field: 3.3.1620.1
• Label: 3.3.1620.1-25.1-b
• Conductor: 25.1
• Rank: \( 1 \)

Base field 3.3.1620.1

Generator \(a\), with minimal polynomial \( x^{3} - 12 x - 14 \); class number \(1\).

Elliptic curves in class 25.1-b over 3.3.1620.1

Isogeny class 25.1-b contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
25.1-b1	\( \bigl[a^{2} - a - 8\) , \( a + 1\) , \( a + 1\) , \( -242 a^{2} + 342 a + 2428\) , \( 7833 a^{2} - 10900 a - 78808\bigr] \)
25.1-b2	\( \bigl[0\) , \( -a^{2} + 2 a + 9\) , \( a + 1\) , \( 20 a^{2} - 28 a - 200\) , \( 108 a^{2} - 151 a - 1090\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph