Elliptic curve isogeny class with Cremona label 27225bp (LMFDB label 27225.by)

• Label: 27225bp
• Number of curves: $1$
• Conductor: $27225$
• CM: no
• Rank: $1$

Elliptic curves in class 27225bp

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
27225.by1	27225bp1	\([0, 0, 1, 825, -1719]\)	\(45056/27\)	\(-37213171875\)	\([]\)	\(23040\)	\(0.71762\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 27225bp1 has rank \(1\).

Complex multiplication

The elliptic curves in class 27225bp do not have complex multiplication.

Modular form 27225.2.a.bp