Elliptic curve isogeny class with LMFDB label 35574.o (Cremona label 35574p)

• Label: 35574.o
• Number of curves: $1$
• Conductor: $35574$
• CM: no
• Rank: $1$

Elliptic curves in class 35574.o

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
35574.o1	35574p1	\([1, 1, 0, -6830331, 9507650013]\)	\(-1397395501513/740710656\)	\(-18680062023577347934464\)	\([]\)	\(4055040\)	\(2.9776\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 35574.o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 35574.o do not have complex multiplication.

Modular form 35574.2.a.o