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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 66424.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
66424.n1 | 66424d1 | \([0, 1, 0, -16080504, 24721856624]\) | \(4772777079094274/20559049997\) | \(1980863733006156507136\) | \([]\) | \(3225600\) | \(2.9400\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66424.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 66424.n do not have complex multiplication.Modular form 66424.2.a.n
sage: E.q_eigenform(10)