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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 47775.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
47775.bb1 | 47775bw1 | \([1, 0, 0, -638, -79983]\) | \(-1225/117\) | \(-2743330078125\) | \([]\) | \(69120\) | \(1.0663\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47775.bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 47775.bb do not have complex multiplication.Modular form 47775.2.a.bb
sage: E.q_eigenform(10)