Elliptic curve isogeny class 14.3-b over number field 3.3.1492.1

• Base field: 3.3.1492.1
• Label: 3.3.1492.1-14.3-b
• Conductor: 14.3
• Rank: \( 1 \)

Base field 3.3.1492.1

Generator \(a\), with minimal polynomial \( x^{3} - x^{2} - 9 x - 5 \); class number \(1\).

Elliptic curves in class 14.3-b over 3.3.1492.1

Isogeny class 14.3-b contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
14.3-b1	\( \bigl[a^{2} - 2 a - 6\) , \( a^{2} - 3 a - 7\) , \( a\) , \( -303 a^{2} - 844 a - 414\) , \( -9980 a^{2} - 27475 a - 13294\bigr] \)
14.3-b2	\( \bigl[a^{2} - 2 a - 6\) , \( a^{2} - 3 a - 7\) , \( a\) , \( -13 a^{2} - 44 a - 24\) , \( -220 a^{2} - 607 a - 294\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph