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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 28665.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28665.e1 | 28665bu1 | \([0, 0, 1, -147, -6260]\) | \(-4096/195\) | \(-16724393595\) | \([]\) | \(31680\) | \(0.64168\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28665.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 28665.e do not have complex multiplication.Modular form 28665.2.a.e
sage: E.q_eigenform(10)