Elliptic curve isogeny class with LMFDB label 209484.s (Cremona label 209484m)

• Label: 209484.s
• Number of curves: $1$
• Conductor: $209484$
• CM: no
• Rank: $2$

Elliptic curves in class 209484.s

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
209484.s1	209484m1	\([0, 0, 0, -791913, -321415639]\)	\(-31808383744/7438959\)	\(-12844780648237962864\)	\([]\)	\(3041280\)	\(2.3859\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 209484.s1 has rank \(2\).

Complex multiplication

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

Modular form 209484.2.a.s