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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 104742bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
104742.d1 | 104742bb1 | \([1, -1, 0, -17556, -1111024]\) | \(-2933428257/937024\) | \(-191156727491136\) | \([]\) | \(423936\) | \(1.4533\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 104742bb1 has rank \(2\).
Complex multiplication
The elliptic curves in class 104742bb do not have complex multiplication.Modular form 104742.2.a.bb
sage: E.q_eigenform(10)