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

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

Elliptic curves in class 35574.p

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
35574.p1	35574c1	\([1, 1, 0, 17664, 7524378]\)	\(107653/4374\)	\(-24763105344242034\)	\([]\)	\(443520\)	\(1.8255\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 35574.p1 has rank \(1\).

Complex multiplication

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

Modular form 35574.2.a.p