Elliptic curve isogeny class with LMFDB label 7744.b (Cremona label 7744bk)

• Label: 7744.b
• Number of curves: $1$
• Conductor: $7744$
• CM: no
• Rank: $1$

Elliptic curves in class 7744.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
7744.b1	7744bk1	\([0, 0, 0, -1936, 42592]\)	\(-27648/11\)	\(-319277809664\)	\([]\)	\(15360\)	\(0.91631\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 7744.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 7744.b do not have complex multiplication.

Modular form 7744.2.a.b