Elliptic curve isogeny class with LMFDB label 281775.r (Cremona label 281775r)

• Label: 281775.r
• Number of curves: $1$
• Conductor: $281775$
• CM: no
• Rank: $2$

Elliptic curves in class 281775.r

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
281775.r1	281775r1	\([1, 0, 0, -17023, 854162]\)	\(-15101696859749/14414517\)	\(-520724426625\)	\([]\)	\(580608\)	\(1.1699\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 281775.r1 has rank \(2\).

Complex multiplication

The elliptic curves in class 281775.r do not have complex multiplication.

Modular form 281775.2.a.r