Elliptic curve isogeny class with Cremona label 31478b (LMFDB label 31478.a)

• Label: 31478b
• Number of curves: $1$
• Conductor: $31478$
• CM: no
• Rank: $3$

Elliptic curves in class 31478b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
31478.a1	31478b1	\([1, 0, 1, -5, 12]\)	\(-10218313/62956\)	\(-62956\)	\([]\)	\(5536\)	\(-0.39551\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 31478b1 has rank \(3\).

Complex multiplication

The elliptic curves in class 31478b do not have complex multiplication.

Modular form 31478.2.a.b