Elliptic curve isogeny class with Cremona label 80223r (LMFDB label 80223.b)

• Label: 80223r
• Number of curves: $1$
• Conductor: $80223$
• CM: no
• Rank: $1$

Elliptic curves in class 80223r

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
80223.b1	80223r1	\([0, 1, 1, -1734, 90668]\)	\(-39404941312/222861483\)	\(-3262914972603\)	\([]\)	\(188928\)	\(1.0851\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 80223r1 has rank \(1\).

Complex multiplication

The elliptic curves in class 80223r do not have complex multiplication.

Modular form 80223.2.a.r