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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 489762bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
489762.bb1 | 489762bb1 | \([1, -1, 0, -35775, 2566669]\) | \(243202777441/5007744\) | \(104266082583936\) | \([]\) | \(1612800\) | \(1.4802\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 489762bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 489762bb do not have complex multiplication.Modular form 489762.2.a.bb
sage: E.q_eigenform(10)