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SageMath
E = EllipticCurve("cu1")
E.isogeny_class()
Elliptic curves in class 328560.cu
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 328560.cu1 | 328560cu1 | \([0, 1, 0, 32400, 8726868]\) | \(357911/3330\) | \(-34995687186309120\) | \([]\) | \(2626560\) | \(1.8557\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 328560.cu1 has rank \(0\).
Complex multiplication
The elliptic curves in class 328560.cu do not have complex multiplication.Modular form 328560.2.a.cu
sage: E.q_eigenform(10)