Elliptic curve isogeny class with Cremona label 114c (LMFDB label 114.b)

• Label: 114c
• Number of curves: $4$
• Conductor: $114$
• CM: no
• Rank: $0$

Elliptic curves in class 114c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
114.b4	114c1	\([1, 1, 1, -352, -2431]\)	\(4824238966273/537919488\)	\(537919488\)	\([4]\)	\(60\)	\(0.40829\)	\(\Gamma_0(N)\)-optimal
114.b2	114c2	\([1, 1, 1, -5472, -158079]\)	\(18120364883707393/269485056\)	\(269485056\)	\([2, 2]\)	\(120\)	\(0.75487\)
114.b1	114c3	\([1, 1, 1, -87552, -10007679]\)	\(74220219816682217473/16416\)	\(16416\)	\([2]\)	\(240\)	\(1.1014\)
114.b3	114c4	\([1, 1, 1, -5312, -167551]\)	\(-16576888679672833/2216253521952\)	\(-2216253521952\)	\([2]\)	\(240\)	\(1.1014\)

Rank

The elliptic curves in class 114c have rank \(0\).

Complex multiplication

The elliptic curves in class 114c do not have complex multiplication.

Modular form 114.2.a.c

Isogeny matrix

The \(i,j\) entry is the smallest degree of a cyclic isogeny between the \(i\)-th and \(j\)-th curve in the isogeny class, in the Cremona numbering.

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.