Elliptic curve isogeny class with Cremona label 20097e (LMFDB label 20097.i)

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

Elliptic curves in class 20097e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
20097.i1	20097e1	\([1, -1, 0, 0, 319]\)	\(-1/60291\)	\(-43952139\)	\([]\)	\(3456\)	\(0.14543\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 20097e1 has rank \(2\).

Complex multiplication

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

Modular form 20097.2.a.e