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

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

Elliptic curves in class 1617i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1617.b1	1617i1	\([0, 1, 1, 12, -52]\)	\(3584000/29403\)	\(-1440747\)	\([]\)	\(360\)	\(-0.13688\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 1617i1 has rank \(1\).

Complex multiplication

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

Modular form 1617.2.a.i