Elliptic curve isogeny class with LMFDB label 12221.b (Cremona label 12221c)

• Label: 12221.b
• Number of curves: $1$
• Conductor: $12221$
• CM: no
• Rank: $1$

Elliptic curves in class 12221.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
12221.b1	12221c1	\([0, 1, 1, -161, 402]\)	\(262144/101\)	\(178927661\)	\([]\)	\(2800\)	\(0.28258\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 12221.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 12221.b do not have complex multiplication.

Modular form 12221.2.a.b