Elliptic curve isogeny class with Cremona label 253253r (LMFDB label 253253.r)

• Label: 253253r
• Number of curves: $1$
• Conductor: $253253$
• CM: no
• Rank: $1$

Elliptic curves in class 253253r

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
253253.r1	253253r1	\([0, 0, 1, -185251, 43006939]\)	\(-396870925750272/221358574619\)	\(-392150217810610259\)	\([]\)	\(10044000\)	\(2.0792\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 253253r1 has rank \(1\).

Complex multiplication

The elliptic curves in class 253253r do not have complex multiplication.

Modular form 253253.2.a.r