Elliptic curve isogeny class with LMFDB label 27746.a (Cremona label 27746a)

• Label: 27746.a
• Number of curves: $1$
• Conductor: $27746$
• CM: no
• Rank: $3$

Elliptic curves in class 27746.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
27746.a1	27746a1	\([1, 0, 1, -12, 26]\)	\(-169112377/221968\)	\(-221968\)	\([]\)	\(5824\)	\(-0.28122\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 27746.a1 has rank \(3\).

Complex multiplication

The elliptic curves in class 27746.a do not have complex multiplication.

Modular form 27746.2.a.a