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SageMath
E = EllipticCurve("ca1")
E.isogeny_class()
Elliptic curves in class 41616.ca
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
41616.ca1 | 41616a1 | \([0, 0, 0, 3468, -19652]\) | \(27648/17\) | \(-2836260907776\) | \([]\) | \(36864\) | \(1.0786\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 41616.ca1 has rank \(1\).
Complex multiplication
The elliptic curves in class 41616.ca do not have complex multiplication.Modular form 41616.2.a.ca
sage: E.q_eigenform(10)