Elliptic curve isogeny class with LMFDB label 21675.e (Cremona label 21675ba)

• Label: 21675.e
• Number of curves: $1$
• Conductor: $21675$
• CM: no
• Rank: $1$

Elliptic curves in class 21675.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
21675.e1	21675ba1	\([0, 1, 1, -782708, -347042506]\)	\(-5624320000/2255067\)	\(-21262435668798046875\)	\([]\)	\(829440\)	\(2.4174\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 21675.e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 21675.e do not have complex multiplication.

Modular form 21675.2.a.e