Elliptic curve isogeny class with LMFDB label 309168.s (Cremona label 309168s)

• Label: 309168.s
• Number of curves: $1$
• Conductor: $309168$
• CM: no
• Rank: $1$

Elliptic curves in class 309168.s

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
309168.s1	309168s1	\([0, 0, 0, -22371, 1287266]\)	\(11195827370811/6200536\)	\(685729677312\)	\([]\)	\(497664\)	\(1.2189\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 309168.s1 has rank \(1\).

Complex multiplication

The elliptic curves in class 309168.s do not have complex multiplication.

Modular form 309168.2.a.s