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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 46090.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
46090.n1 | 46090o1 | \([1, 1, 1, -5321216705, 193788826336575]\) | \(-16663128733355465781481076750866321/6580732098057570116451334553600\) | \(-6580732098057570116451334553600\) | \([]\) | \(70791168\) | \(4.6225\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46090.n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 46090.n do not have complex multiplication.Modular form 46090.2.a.n
sage: E.q_eigenform(10)