Show commands:
SageMath
E = EllipticCurve("cu1")
E.isogeny_class()
Elliptic curves in class 208725.cu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
208725.cu1 | 208725cp1 | \([0, 1, 1, -1262708, -546559381]\) | \(-4710721692160000/1156923\) | \(-54682688671875\) | \([]\) | \(3648960\) | \(2.0126\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 208725.cu1 has rank \(0\).
Complex multiplication
The elliptic curves in class 208725.cu do not have complex multiplication.Modular form 208725.2.a.cu
sage: E.q_eigenform(10)