Elliptic curve isogeny class with Cremona label 12138r (LMFDB label 12138.r)

• Label: 12138r
• Number of curves: $1$
• Conductor: $12138$
• CM: no
• Rank: $1$

Elliptic curves in class 12138r

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
12138.r1	12138r1	\([1, 1, 1, -26305, -1658857]\)	\(-288568081/1176\)	\(-8203490750616\)	\([]\)	\(29376\)	\(1.3341\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 12138r1 has rank \(1\).

Complex multiplication

The elliptic curves in class 12138r do not have complex multiplication.

Modular form 12138.2.a.r