Elliptic curve isogeny class with LMFDB label 12705.p (Cremona label 12705l)

• Label: 12705.p
• Number of curves: $1$
• Conductor: $12705$
• CM: no
• Rank: $0$

Elliptic curves in class 12705.p

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
12705.p1	12705l1	\([0, 1, 1, -15286, -734915]\)	\(-222985990144/841995\)	\(-1491645504195\)	\([]\)	\(40320\)	\(1.1953\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 12705.p1 has rank \(0\).

Complex multiplication

The elliptic curves in class 12705.p do not have complex multiplication.

Modular form 12705.2.a.p