Elliptic curve isogeny class with LMFDB label 1682.f (Cremona label 1682h)

• Label: 1682.f
• Number of curves: $1$
• Conductor: $1682$
• CM: no
• Rank: $0$

Elliptic curves in class 1682.f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1682.f1	1682h1	\([1, -1, 1, 221025, 19814919]\)	\(2838375/2048\)	\(-861608413798811648\)	\([]\)	\(47850\)	\(2.1298\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 1682.f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 1682.f do not have complex multiplication.

Modular form 1682.2.a.f