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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 423e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
423.f1 | 423e1 | \([0, 0, 1, -111, -171]\) | \(207474688/102789\) | \(74933181\) | \([]\) | \(224\) | \(0.20404\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 423e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 423e do not have complex multiplication.Modular form 423.2.a.e
sage: E.q_eigenform(10)