Elliptic curve isogeny class with Cremona label 84700k (LMFDB label 84700.a)

• Label: 84700k
• Number of curves: $1$
• Conductor: $84700$
• CM: no
• Rank: $1$

Elliptic curves in class 84700k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
84700.a1	84700k1	\([0, 0, 0, 96800, -35271500]\)	\(14155776/84035\)	\(-595492514540000000\)	\([]\)	\(1713600\)	\(2.0926\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 84700k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 84700k do not have complex multiplication.

Modular form 84700.2.a.k