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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 16650g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16650.k1 | 16650g1 | \([1, -1, 0, -1392, -18784]\) | \(24257475/1184\) | \(14565420000\) | \([]\) | \(11520\) | \(0.70973\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16650g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 16650g do not have complex multiplication.Modular form 16650.2.a.g
sage: E.q_eigenform(10)