Elliptic curve isogeny class with Cremona label 12635j (LMFDB label 12635.a)

• Label: 12635j
• Number of curves: $1$
• Conductor: $12635$
• CM: no
• Rank: $2$

Elliptic curves in class 12635j

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
12635.a1	12635j1	\([0, 1, 1, -120, -126]\)	\(533794816/300125\)	\(108345125\)	\([]\)	\(6912\)	\(0.23186\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 12635j1 has rank \(2\).

Complex multiplication

The elliptic curves in class 12635j do not have complex multiplication.

Modular form 12635.2.a.j