Elliptic curve isogeny class with LMFDB label 7728.r (Cremona label 7728t)

• Label: 7728.r
• Number of curves: $1$
• Conductor: $7728$
• CM: no
• Rank: $1$

Elliptic curves in class 7728.r

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
7728.r1	7728t1	\([0, 1, 0, -253, -7705]\)	\(-7023616000/93934323\)	\(-24047186688\)	\([]\)	\(7200\)	\(0.67356\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 7728.r1 has rank \(1\).

Complex multiplication

The elliptic curves in class 7728.r do not have complex multiplication.

Modular form 7728.2.a.r