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

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

Elliptic curves in class 12274.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
12274.a1	12274i1	\([1, 0, 1, -464, 3870]\)	\(-30508741009/628864\)	\(-227019904\)	\([]\)	\(4536\)	\(0.39480\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 12274.a1 has rank \(1\).

Complex multiplication

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

Modular form 12274.2.a.a