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SageMath
E = EllipticCurve("df1")
E.isogeny_class()
Elliptic curves in class 179520df
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
179520.ef1 | 179520df1 | \([0, -1, 0, -10972145, -16411920975]\) | \(-8916171784936232672464/1945376358587578125\) | \(-31873046259098880000000\) | \([]\) | \(22364160\) | \(3.0388\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 179520df1 has rank \(1\).
Complex multiplication
The elliptic curves in class 179520df do not have complex multiplication.Modular form 179520.2.a.df
sage: E.q_eigenform(10)