Elliptic curve isogeny class with LMFDB label 49686.p (Cremona label 49686b)

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

Elliptic curves in class 49686.p

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
49686.p1	49686b1	\([1, 1, 0, -646090, -357839516]\)	\(-1071912625/1364688\)	\(-37973253337637082192\)	\([]\)	\(1806336\)	\(2.4502\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 49686.p1 has rank \(1\).

Complex multiplication

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

Modular form 49686.2.a.p