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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 5550n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5550.m1 | 5550n1 | \([1, 0, 1, -21626, -1225852]\) | \(-71581931663761/199800\) | \(-3121875000\) | \([]\) | \(10368\) | \(1.0540\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5550n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5550n do not have complex multiplication.Modular form 5550.2.a.n
sage: E.q_eigenform(10)