Elliptic curve isogeny class with LMFDB label 80688.r (Cremona label 80688c)

• Label: 80688.r
• Number of curves: $1$
• Conductor: $80688$
• CM: no
• Rank: $1$

Elliptic curves in class 80688.r

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
80688.r1	80688c1	\([0, -1, 0, -970497, 368320797]\)	\(-83131122688/1107\)	\(-1346141541065472\)	\([]\)	\(967680\)	\(2.0464\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 80688.r1 has rank \(1\).

Complex multiplication

The elliptic curves in class 80688.r do not have complex multiplication.

Modular form 80688.2.a.r