Elliptic curve isogeny class with LMFDB label 17661.b (Cremona label 17661i)

• Label: 17661.b
• Number of curves: $1$
• Conductor: $17661$
• CM: no
• Rank: $1$

Elliptic curves in class 17661.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
17661.b1	17661i1	\([1, 0, 0, -1089997, 397955876]\)	\(170295687079857398473/17163597526568829\)	\(14434585519844385189\)	\([]\)	\(686400\)	\(2.4125\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 17661.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 17661.b do not have complex multiplication.

Modular form 17661.2.a.b