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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 47096.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
47096.f1 | 47096h1 | \([0, -1, 0, 5607, 211309]\) | \(128000/203\) | \(-30911778345728\) | \([]\) | \(107520\) | \(1.2737\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47096.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 47096.f do not have complex multiplication.Modular form 47096.2.a.f
sage: E.q_eigenform(10)