Elliptic curve isogeny class with LMFDB label 121275.x (Cremona label 121275bt)

• Label: 121275.x
• Number of curves: $1$
• Conductor: $121275$
• CM: no
• Rank: $1$

Elliptic curves in class 121275.x

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
121275.x1	121275bt1	\([0, 0, 1, -165375, -25839844]\)	\(5419008/11\)	\(1015327564453125\)	\([]\)	\(875520\)	\(1.7662\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 121275.x1 has rank \(1\).

Complex multiplication

The elliptic curves in class 121275.x do not have complex multiplication.

Modular form 121275.2.a.x