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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 102550bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
102550.bd1 | 102550bb1 | \([1, -1, 1, -180135, 29061667]\) | \(5171371652962916757/82860802004204\) | \(10357600250525500\) | \([]\) | \(1456896\) | \(1.8730\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 102550bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 102550bb do not have complex multiplication.Modular form 102550.2.a.bb
sage: E.q_eigenform(10)