Elliptic curve isogeny class with LMFDB label 27072.e (Cremona label 27072t)

• Label: 27072.e
• Number of curves: $1$
• Conductor: $27072$
• CM: no
• Rank: $2$

Elliptic curves in class 27072.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
27072.e1	27072t1	\([0, 0, 0, -444, -1366]\)	\(207474688/102789\)	\(4795723584\)	\([]\)	\(17920\)	\(0.55062\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 27072.e1 has rank \(2\).

Complex multiplication

The elliptic curves in class 27072.e do not have complex multiplication.

Modular form 27072.2.a.e