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SageMath
E = EllipticCurve("bm1")
E.isogeny_class()
Elliptic curves in class 54208bm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54208.p1 | 54208bm1 | \([0, 1, 0, -40, -354]\) | \(-7744/49\) | \(-45914176\) | \([]\) | \(14592\) | \(0.15374\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54208bm1 has rank \(1\).
Complex multiplication
The elliptic curves in class 54208bm do not have complex multiplication.Modular form 54208.2.a.bm
sage: E.q_eigenform(10)