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SageMath
E = EllipticCurve("bm1")
E.isogeny_class()
Elliptic curves in class 16650bm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
16650.a1 | 16650bm1 | \([1, -1, 0, -1647, -163539]\) | \(-5423945093/124291584\) | \(-11326070592000\) | \([]\) | \(55296\) | \(1.1856\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 16650bm1 has rank \(0\).
Complex multiplication
The elliptic curves in class 16650bm do not have complex multiplication.Modular form 16650.2.a.bm
sage: E.q_eigenform(10)