Elliptic curve isogeny class with LMFDB label 209484.n (Cremona label 209484bo)

• Label: 209484.n
• Number of curves: $1$
• Conductor: $209484$
• CM: no
• Rank: $1$

Elliptic curves in class 209484.n

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
209484.n1	209484bo1	\([0, 0, 0, -4761, -126431]\)	\(98724096/11\)	\(1329804432\)	\([]\)	\(142848\)	\(0.77931\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 209484.n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 209484.n do not have complex multiplication.

Modular form 209484.2.a.n