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SageMath
E = EllipticCurve("df1")
E.isogeny_class()
Elliptic curves in class 254800.df
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 254800.df1 | 254800df1 | \([0, 0, 0, 1225, -17150]\) | \(10800/13\) | \(-244709920000\) | \([]\) | \(190080\) | \(0.87147\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 254800.df1 has rank \(0\).
Complex multiplication
The elliptic curves in class 254800.df do not have complex multiplication.Modular form 254800.2.a.df
sage: E.q_eigenform(10)