Elliptic curve isogeny class with Cremona label 198189e (LMFDB label 198189.f)

• Label: 198189e
• Number of curves: $1$
• Conductor: $198189$
• CM: no
• Rank: $1$

Elliptic curves in class 198189e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
198189.f1	198189e1	\([1, -1, 1, -6566, 217914]\)	\(-912673/61\)	\(-2092083282189\)	\([]\)	\(331776\)	\(1.1161\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 198189e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 198189e do not have complex multiplication.

Modular form 198189.2.a.e