Elliptic curve isogeny class with LMFDB label 412224.k (Cremona label 412224k)

• Label: 412224.k
• Number of curves: $1$
• Conductor: $412224$
• CM: no
• Rank: $1$

Elliptic curves in class 412224.k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
412224.k1	412224k1	\([0, -1, 0, -500193, 108453249]\)	\(105591141062347250/22458378326841\)	\(2943664564055703552\)	\([]\)	\(8644608\)	\(2.2583\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 412224.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 412224.k do not have complex multiplication.

Modular form 412224.2.a.k