Elliptic curve isogeny class with Cremona label 25270i (LMFDB label 25270.k)

• Label: 25270i
• Number of curves: $1$
• Conductor: $25270$
• CM: no
• Rank: $1$

Elliptic curves in class 25270i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
25270.k1	25270i1	\([1, 1, 0, -25277, -6223651]\)	\(-37966934881/332500000\)	\(-15642755432500000\)	\([]\)	\(201600\)	\(1.7900\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 25270i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 25270i do not have complex multiplication.

Modular form 25270.2.a.i