Elliptic curve isogeny class with Cremona label 27209n (LMFDB label 27209.q)

• Label: 27209n
• Number of curves: $1$
• Conductor: $27209$
• CM: no
• Rank: $1$

Elliptic curves in class 27209n

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
27209.q1	27209n1	\([0, 0, 1, -258739, -70988915]\)	\(-396870925750272/221358574619\)	\(-1068455560198160771\)	\([]\)	\(1249920\)	\(2.1627\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 27209n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 27209n do not have complex multiplication.

Modular form 27209.2.a.n