Elliptic curve isogeny class with Cremona label 20097b (LMFDB label 20097.d)

• Label: 20097b
• Number of curves: $1$
• Conductor: $20097$
• CM: no
• Rank: $2$

Elliptic curves in class 20097b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
20097.d1	20097b1	\([1, -1, 1, -263, 2970]\)	\(-74246873427/92019697\)	\(-2484531819\)	\([]\)	\(7488\)	\(0.49625\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 20097b1 has rank \(2\).

Complex multiplication

The elliptic curves in class 20097b do not have complex multiplication.

Modular form 20097.2.a.b