Elliptic curve isogeny class with Cremona label 12635e (LMFDB label 12635.b)

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

Elliptic curves in class 12635e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
12635.b1	12635e1	\([0, 0, 1, -6137, 184922]\)	\(196145197056/153125\)	\(19955403125\)	\([]\)	\(14400\)	\(0.90758\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 12635e1 has rank \(1\).

Complex multiplication

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

Modular form 12635.2.a.e