Elliptic curve isogeny class with LMFDB label 73689.k (Cremona label 73689f)

• Label: 73689.k
• Number of curves: $1$
• Conductor: $73689$
• CM: no
• Rank: $1$

Elliptic curves in class 73689.k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
73689.k1	73689f1	\([0, -1, 1, -161, -100]\)	\(31719424/17661\)	\(258574701\)	\([]\)	\(17472\)	\(0.30457\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 73689.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 73689.k do not have complex multiplication.

Modular form 73689.2.a.k