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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 163254.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
163254.n1 | 163254dj1 | \([1, 1, 0, -107, -177]\) | \(813420049/426006\) | \(71995014\) | \([]\) | \(55296\) | \(0.19942\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 163254.n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 163254.n do not have complex multiplication.Modular form 163254.2.a.n
sage: E.q_eigenform(10)