Elliptic curve isogeny class with Cremona label 20286b (LMFDB label 20286.y)

• Label: 20286b
• Number of curves: $1$
• Conductor: $20286$
• CM: no
• Rank: $1$

Elliptic curves in class 20286b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
20286.y1	20286b1	\([1, -1, 0, 4989, 310869]\)	\(211816278261/771751936\)	\(-50030362755072\)	\([]\)	\(48000\)	\(1.3115\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 20286b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 20286b do not have complex multiplication.

Modular form 20286.2.a.b