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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 16650.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16650.f1 | 16650n1 | \([1, -1, 0, -41021442, -101116930284]\) | \(-670206957616537490521/6109179936768\) | \(-69587377717248000000\) | \([]\) | \(1589760\) | \(2.9720\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16650.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 16650.f do not have complex multiplication.Modular form 16650.2.a.f
sage: E.q_eigenform(10)