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SageMath
E = EllipticCurve("df1")
E.isogeny_class()
Elliptic curves in class 159936.df
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
159936.df1 | 159936ju1 | \([0, -1, 0, -321505, -70406111]\) | \(-19456019912/111537\) | \(-21069450744201216\) | \([]\) | \(1548288\) | \(1.9739\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 159936.df1 has rank \(0\).
Complex multiplication
The elliptic curves in class 159936.df do not have complex multiplication.Modular form 159936.2.a.df
sage: E.q_eigenform(10)