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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 422331e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
422331.e1 | 422331e1 | \([0, -1, 1, 162860, 17536014]\) | \(841232384/722211\) | \(-410121420385782651\) | \([]\) | \(5391360\) | \(2.0672\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 422331e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 422331e do not have complex multiplication.Modular form 422331.2.a.e
sage: E.q_eigenform(10)