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SageMath
E = EllipticCurve("df1")
E.isogeny_class()
Elliptic curves in class 102960.df
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 102960.df1 | 102960dz1 | \([0, 0, 0, 1436613, -552035734]\) | \(109813469243970311/107638502400000\) | \(-321406845950361600000\) | \([]\) | \(2995200\) | \(2.6219\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 102960.df1 has rank \(0\).
Complex multiplication
The elliptic curves in class 102960.df do not have complex multiplication.Modular form 102960.2.a.df
sage: E.q_eigenform(10)