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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 440818.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
440818.f1 | 440818f1 | \([1, 1, 0, -1280043, 101723389]\) | \(66036512089/36929536\) | \(129714236442835910656\) | \([]\) | \(12787200\) | \(2.5496\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 440818.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 440818.f do not have complex multiplication.Modular form 440818.2.a.f
sage: E.q_eigenform(10)