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SageMath
E = EllipticCurve("bm1")
E.isogeny_class()
Elliptic curves in class 479808bm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
479808.bm1 | 479808bm1 | \([0, 0, 0, 27636, -5833744]\) | \(103823/714\) | \(-16052914852724736\) | \([]\) | \(2949120\) | \(1.7912\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 479808bm1 has rank \(2\).
Complex multiplication
The elliptic curves in class 479808bm do not have complex multiplication.Modular form 479808.2.a.bm
sage: E.q_eigenform(10)