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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 24882bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
24882.x1 | 24882bb1 | \([1, 1, 1, 769, -31813]\) | \(50288355526031/475161277734\) | \(-475161277734\) | \([]\) | \(55680\) | \(0.92178\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 24882bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 24882bb do not have complex multiplication.Modular form 24882.2.a.bb
sage: E.q_eigenform(10)