Elliptic curve isogeny class with LMFDB label 25857.a (Cremona label 25857p)

• Label: 25857.a
• Number of curves: $1$
• Conductor: $25857$
• CM: no
• Rank: $2$

Elliptic curves in class 25857.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
25857.a1	25857p1	\([0, 0, 1, -507, 7816]\)	\(-692224/867\)	\(-18051780123\)	\([]\)	\(41856\)	\(0.66141\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 25857.a1 has rank \(2\).

Complex multiplication

The elliptic curves in class 25857.a do not have complex multiplication.

Modular form 25857.2.a.a