Elliptic curve isogeny class with LMFDB label 5850.k (Cremona label 5850t)

• Label: 5850.k
• Number of curves: $1$
• Conductor: $5850$
• CM: no
• Rank: $1$

Elliptic curves in class 5850.k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
5850.k1	5850t1	\([1, -1, 0, -185742, -30791084]\)	\(-2488672890625/2426112\)	\(-690873300000000\)	\([]\)	\(46080\)	\(1.7681\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 5850.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 5850.k do not have complex multiplication.

Modular form 5850.2.a.k