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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 489566.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
489566.bb1 | 489566bb1 | \([1, 0, 1, -41823653, 104103767392]\) | \(654699641761/112\) | \(1384093740728764912\) | \([]\) | \(49351680\) | \(2.8796\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 489566.bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 489566.bb do not have complex multiplication.Modular form 489566.2.a.bb
sage: E.q_eigenform(10)