Elliptic curve isogeny class with LMFDB label 49686.z (Cremona label 49686bq)

• Label: 49686.z
• Number of curves: $1$
• Conductor: $49686$
• CM: no
• Rank: $1$

Elliptic curves in class 49686.z

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
49686.z1	49686bq1	\([1, 0, 1, -12913, 316292]\)	\(34913047/13824\)	\(94276356475392\)	\([]\)	\(290304\)	\(1.3798\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 49686.z1 has rank \(1\).

Complex multiplication

The elliptic curves in class 49686.z do not have complex multiplication.

Modular form 49686.2.a.z