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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 66248.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
66248.e1 | 66248x1 | \([0, 1, 0, 8866191, -6672120701]\) | \(530208386048/439239619\) | \(-63854252520525775969024\) | \([]\) | \(5419008\) | \(3.0636\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66248.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 66248.e do not have complex multiplication.Modular form 66248.2.a.e
sage: E.q_eigenform(10)