Elliptic curve isogeny class with LMFDB label 21175.bc (Cremona label 21175b)

• Label: 21175.bc
• Number of curves: $1$
• Conductor: $21175$
• CM: no
• Rank: $1$

Elliptic curves in class 21175.bc

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
21175.bc1	21175b1	\([1, 1, 0, -35, 70]\)	\(-148955/7\)	\(-232925\)	\([]\)	\(2304\)	\(-0.20713\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 21175.bc1 has rank \(1\).

Complex multiplication

The elliptic curves in class 21175.bc do not have complex multiplication.

Modular form 21175.2.a.bc