Elliptic curve isogeny class with LMFDB label 12274.e (Cremona label 12274a)

• Label: 12274.e
• Number of curves: $1$
• Conductor: $12274$
• CM: no
• Rank: $1$

Elliptic curves in class 12274.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
12274.e1	12274a1	\([1, -1, 0, 3001, -37403]\)	\(175959/136\)	\(-2309764573576\)	\([]\)	\(20520\)	\(1.0604\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 12274.e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 12274.e do not have complex multiplication.

Modular form 12274.2.a.e