Elliptic curve isogeny class with Cremona label 1309b (LMFDB label 1309.a)

• Label: 1309b
• Number of curves: $1$
• Conductor: $1309$
• CM: no
• Rank: $2$

Elliptic curves in class 1309b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1309.a1	1309b1	\([0, -1, 1, -22, 52]\)	\(-1231925248/155771\)	\(-155771\)	\([]\)	\(256\)	\(-0.26968\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 1309b1 has rank \(2\).

Complex multiplication

The elliptic curves in class 1309b do not have complex multiplication.

Modular form 1309.2.a.b