Elliptic curve isogeny class with Cremona label 44616m (LMFDB label 44616.b)

• Label: 44616m
• Number of curves: $4$
• Conductor: $44616$
• CM: no
• Rank: $0$

Elliptic curves in class 44616m

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
44616.b3	44616m1	\([0, -1, 0, -2084, -34620]\)	\(810448/33\)	\(40776882432\)	\([2]\)	\(36864\)	\(0.80174\)	\(\Gamma_0(N)\)-optimal
44616.b2	44616m2	\([0, -1, 0, -5464, 110044]\)	\(3650692/1089\)	\(5382548481024\)	\([2, 2]\)	\(73728\)	\(1.1483\)
44616.b4	44616m3	\([0, -1, 0, 14816, 718444]\)	\(36382894/43923\)	\(-434192244135936\)	\([2]\)	\(147456\)	\(1.4949\)
44616.b1	44616m4	\([0, -1, 0, -79824, 8706060]\)	\(5690357426/891\)	\(8807806605312\)	\([2]\)	\(147456\)	\(1.4949\)

Rank

The elliptic curves in class 44616m have rank \(0\).

Complex multiplication

The elliptic curves in class 44616m do not have complex multiplication.

Modular form 44616.2.a.m

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.