Elliptic curve isogeny class with LMFDB label 1617.c (Cremona label 1617b)

• Label: 1617.c
• Number of curves: $1$
• Conductor: $1617$
• CM: no
• Rank: $1$

Elliptic curves in class 1617.c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1617.c1	1617b1	\([1, 1, 1, 979, -13084]\)	\(17999471/24057\)	\(-138683817657\)	\([]\)	\(2352\)	\(0.82376\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 1617.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1617.c do not have complex multiplication.

Modular form 1617.2.a.c