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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 147294.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
147294.bb1 | 147294cu1 | \([1, -1, 0, -162003, 25133877]\) | \(431567037693/85504\) | \(93160659949056\) | \([]\) | \(1032192\) | \(1.6794\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 147294.bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 147294.bb do not have complex multiplication.Modular form 147294.2.a.bb
sage: E.q_eigenform(10)