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SageMath
E = EllipticCurve("df1")
E.isogeny_class()
Elliptic curves in class 329175df
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
329175.df1 | 329175df1 | \([0, 0, 1, 975, 18781]\) | \(242970624/501809\) | \(-211700671875\) | \([]\) | \(638976\) | \(0.85757\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 329175df1 has rank \(0\).
Complex multiplication
The elliptic curves in class 329175df do not have complex multiplication.Modular form 329175.2.a.df
sage: E.q_eigenform(10)