Elliptic curve isogeny class with LMFDB label 10920.c (Cremona label 10920j)

• Label: 10920.c
• Number of curves: $4$
• Conductor: $10920$
• CM: no
• Rank: $0$

Elliptic curves in class 10920.c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
10920.c1	10920j3	\([0, -1, 0, -24976, -1510964]\)	\(841356017734178/1404585\)	\(2876590080\)	\([2]\)	\(20480\)	\(1.0772\)
10920.c2	10920j4	\([0, -1, 0, -4096, 71020]\)	\(3711757787138/1124589375\)	\(2303159040000\)	\([2]\)	\(20480\)	\(1.0772\)
10920.c3	10920j2	\([0, -1, 0, -1576, -22724]\)	\(423026849956/16769025\)	\(17171481600\)	\([2, 2]\)	\(10240\)	\(0.73060\)
10920.c4	10920j1	\([0, -1, 0, 44, -1340]\)	\(35969456/2985255\)	\(-764225280\)	\([2]\)	\(5120\)	\(0.38403\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 10920.c have rank \(0\).

Complex multiplication

The elliptic curves in class 10920.c do not have complex multiplication.

Modular form 10920.2.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 LMFDB numbering.

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

Isogeny graph

The vertices are labelled with LMFDB labels.