Elliptic curve isogeny class with LMFDB label 2800.i (Cremona label 2800c)

• Label: 2800.i
• Number of curves: $1$
• Conductor: $2800$
• CM: no
• Rank: $1$

Elliptic curves in class 2800.i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
2800.i1	2800c1	\([0, -1, 0, -33, -563]\)	\(-1024/35\)	\(-140000000\)	\([]\)	\(768\)	\(0.24339\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 2800.i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 2800.i do not have complex multiplication.

Modular form 2800.2.a.i