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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 162922d
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
162922.g1 | 162922d1 | \([1, -1, 1, -3336, 107839]\) | \(-185193/116\) | \(-2571065890964\) | \([]\) | \(606320\) | \(1.0829\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162922d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 162922d do not have complex multiplication.Modular form 162922.2.a.d
sage: E.q_eigenform(10)