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SageMath
E = EllipticCurve("df1")
E.isogeny_class()
Elliptic curves in class 87120.df
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
87120.df1 | 87120gj1 | \([0, 0, 0, -6897, 221551]\) | \(-212464384/1215\) | \(-207488738160\) | \([]\) | \(161280\) | \(1.0133\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 87120.df1 has rank \(1\).
Complex multiplication
The elliptic curves in class 87120.df do not have complex multiplication.Modular form 87120.2.a.df
sage: E.q_eigenform(10)