Elliptic curve isogeny class with Cremona label 27747c (LMFDB label 27747.a)

• Label: 27747c
• Number of curves: $1$
• Conductor: $27747$
• CM: no
• Rank: $3$

Elliptic curves in class 27747c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
27747.a1	27747c1	\([0, 0, 1, -327, 2286]\)	\(-5304438784/27747\)	\(-20227563\)	\([]\)	\(27776\)	\(0.24739\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 27747c1 has rank \(3\).

Complex multiplication

The elliptic curves in class 27747c do not have complex multiplication.

Modular form 27747.2.a.c