Elliptic curve isogeny class with LMFDB label 2001.c (Cremona label 2001c)

• Label: 2001.c
• Number of curves: $1$
• Conductor: $2001$
• CM: no
• Rank: $1$

Elliptic curves in class 2001.c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
2001.c1	2001c1	\([0, 1, 1, 7, -7]\)	\(32768000/54027\)	\(-54027\)	\([]\)	\(128\)	\(-0.40682\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 2001.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 2001.c do not have complex multiplication.

Modular form 2001.2.a.c