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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 47432n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
47432.s1 | 47432n1 | \([0, 1, 0, -6288, 19424]\) | \(1750\) | \(15714201868288\) | \([]\) | \(72576\) | \(1.2219\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47432n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 47432n do not have complex multiplication.Modular form 47432.2.a.n
sage: E.q_eigenform(10)