Elliptic curve isogeny class with LMFDB label 271950.b (Cremona label 271950b)

• Label: 271950.b
• Number of curves: $1$
• Conductor: $271950$
• CM: no
• Rank: $2$

Elliptic curves in class 271950.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
271950.b1	271950b1	\([1, 1, 0, 41625, -2941875]\)	\(12649337/13320\)	\(-8398594456875000\)	\([]\)	\(2709504\)	\(1.7423\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 271950.b1 has rank \(2\).

Complex multiplication

The elliptic curves in class 271950.b do not have complex multiplication.

Modular form 271950.2.a.b