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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 18864bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
18864.x1 | 18864bb1 | \([0, 0, 0, -123987, 16633618]\) | \(70593496254289/824180736\) | \(2460990490804224\) | \([]\) | \(96768\) | \(1.7656\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 18864bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 18864bb do not have complex multiplication.Modular form 18864.2.a.bb
sage: E.q_eigenform(10)