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SageMath
E = EllipticCurve("cs1")
E.isogeny_class()
Elliptic curves in class 352800cs
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 352800.cs1 | 352800cs1 | \([0, 0, 0, -826875, 520931250]\) | \(-5400/7\) | \(-81048984345000000000\) | \([]\) | \(8294400\) | \(2.5132\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 352800cs1 has rank \(0\).
Complex multiplication
The elliptic curves in class 352800cs do not have complex multiplication.Modular form 352800.2.a.cs
sage: E.q_eigenform(10)