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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 106722bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
106722.bb1 | 106722bb1 | \([1, -1, 0, -16178388, 58761254096]\) | \(-392931/1024\) | \(-1220430718873720065051648\) | \([]\) | \(14636160\) | \(3.3094\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 106722bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 106722bb do not have complex multiplication.Modular form 106722.2.a.bb
sage: E.q_eigenform(10)