Elliptic curve isogeny class with Cremona label 409101k (LMFDB label 409101.k)

• Label: 409101k
• Number of curves: $1$
• Conductor: $409101$
• CM: no
• Rank: $1$

Elliptic curves in class 409101k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
409101.k1	409101k1	\([1, 0, 0, -5629, 15911468]\)	\(-1877953/10412307\)	\(-109366553380274883\)	\([]\)	\(3250368\)	\(1.9484\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 409101k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 409101k do not have complex multiplication.

Modular form 409101.2.a.k