Elliptic curve isogeny class with LMFDB label 67270.b (Cremona label 67270p)

• Label: 67270.b
• Number of curves: $1$
• Conductor: $67270$
• CM: no
• Rank: $1$

Elliptic curves in class 67270.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
67270.b1	67270p1	\([1, -1, 0, -5419, -152195]\)	\(590800920471/280\)	\(8341480\)	\([]\)	\(161280\)	\(0.66496\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 67270.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 67270.b do not have complex multiplication.

Modular form 67270.2.a.b