Elliptic curve isogeny class with Cremona label 73689w (LMFDB label 73689.p)

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

Elliptic curves in class 73689w

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
73689.p1	73689w1	\([0, 1, 1, -18355, 926107]\)	\(5652299539972096/168301718109\)	\(20364507891189\)	\([]\)	\(141120\)	\(1.3306\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 73689w1 has rank \(1\).

Complex multiplication

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

Modular form 73689.2.a.w