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SageMath
E = EllipticCurve("df1")
E.isogeny_class()
Elliptic curves in class 487872.df
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
487872.df1 | 487872df1 | \([0, 0, 0, 1716, 151184]\) | \(24167/441\) | \(-10197445902336\) | \([]\) | \(1179648\) | \(1.1765\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 487872.df1 has rank \(1\).
Complex multiplication
The elliptic curves in class 487872.df do not have complex multiplication.Modular form 487872.2.a.df
sage: E.q_eigenform(10)