Elliptic curve isogeny class with LMFDB label 57150.k (Cremona label 57150r)

• Label: 57150.k
• Number of curves: $1$
• Conductor: $57150$
• CM: no
• Rank: $1$

Elliptic curves in class 57150.k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
57150.k1	57150r1	\([1, -1, 0, -3977217, 27098941]\)	\(610821169848399817/353458628591616\)	\(4026114691301376000000\)	\([]\)	\(2903040\)	\(2.8351\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 57150.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 57150.k do not have complex multiplication.

Modular form 57150.2.a.k