Elliptic curve isogeny class with Cremona label 257600q (LMFDB label 257600.q)

• Label: 257600q
• Number of curves: $1$
• Conductor: $257600$
• CM: no
• Rank: $2$

Elliptic curves in class 257600q

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
257600.q1	257600q1	\([0, 1, 0, -33, -5537]\)	\(-50/161\)	\(-13189120000\)	\([]\)	\(147456\)	\(0.62083\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 257600q1 has rank \(2\).

Complex multiplication

The elliptic curves in class 257600q do not have complex multiplication.

Modular form 257600.2.a.q