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SageMath
E = EllipticCurve("df1")
E.isogeny_class()
Elliptic curves in class 388815.df
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
388815.df1 | 388815df1 | \([0, -1, 1, 1391094, -554157619]\) | \(659456/675\) | \(-304726891224753504675\) | \([]\) | \(23925888\) | \(2.6173\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388815.df1 has rank \(0\).
Complex multiplication
The elliptic curves in class 388815.df do not have complex multiplication.Modular form 388815.2.a.df
sage: E.q_eigenform(10)