Elliptic curve isogeny class with LMFDB label 272816.n (Cremona label 272816n)

• Label: 272816.n
• Number of curves: $1$
• Conductor: $272816$
• CM: no
• Rank: $1$

Elliptic curves in class 272816.n

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
272816.n1	272816n1	\([0, -1, 0, -409320, -100736912]\)	\(-76711450249/68204\)	\(-6743157784887296\)	\([]\)	\(2654208\)	\(1.9623\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 272816.n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 272816.n do not have complex multiplication.

Modular form 272816.2.a.n