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SageMath
E = EllipticCurve("cn1")
E.isogeny_class()
Elliptic curves in class 474320cn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
474320.cn1 | 474320cn1 | \([0, -1, 0, -1976, -226400]\) | \(-196/5\) | \(-21778011960320\) | \([]\) | \(806400\) | \(1.2399\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 474320cn1 has rank \(2\).
Complex multiplication
The elliptic curves in class 474320cn do not have complex multiplication.Modular form 474320.2.a.cn
sage: E.q_eigenform(10)