Elliptic curve isogeny class with Cremona label 5415b (LMFDB label 5415.b)

• Label: 5415b
• Number of curves: $1$
• Conductor: $5415$
• CM: no
• Rank: $1$

Elliptic curves in class 5415b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
5415.b1	5415b1	\([0, -1, 1, -13116, 396722]\)	\(1914902401024/597871125\)	\(77915162881125\)	\([]\)	\(21168\)	\(1.3699\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 5415b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 5415b do not have complex multiplication.

Modular form 5415.2.a.b