Elliptic curve isogeny class with LMFDB label 27200.ba (Cremona label 27200cp)

• Label: 27200.ba
• Number of curves: $1$
• Conductor: $27200$
• CM: no
• Rank: $1$

Elliptic curves in class 27200.ba

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
27200.ba1	27200cp1	\([0, -1, 0, -1153, -19423]\)	\(-5177717/2176\)	\(-71303168000\)	\([]\)	\(21504\)	\(0.79043\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 27200.ba1 has rank \(1\).

Complex multiplication

The elliptic curves in class 27200.ba do not have complex multiplication.

Modular form 27200.2.a.ba