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SageMath
E = EllipticCurve("j1")
E.isogeny_class()
Elliptic curves in class 5550j
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5550.e1 | 5550j1 | \([1, 1, 0, -6450, -103500]\) | \(75988526665/32735232\) | \(12787200000000\) | \([]\) | \(10800\) | \(1.2113\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5550j1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5550j do not have complex multiplication.Modular form 5550.2.a.j
sage: E.q_eigenform(10)