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SageMath
E = EllipticCurve("cs1")
E.isogeny_class()
Elliptic curves in class 48400cs
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
48400.b1 | 48400cs1 | \([0, 0, 0, -4675, -266750]\) | \(-1459161/3125\) | \(-24200000000000\) | \([]\) | \(184320\) | \(1.2570\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 48400cs1 has rank \(1\).
Complex multiplication
The elliptic curves in class 48400cs do not have complex multiplication.Modular form 48400.2.a.cs
sage: E.q_eigenform(10)