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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 21675bb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 21675.f1 | 21675bb1 | \([0, 1, 1, -8188, -254066]\) | \(69632/9\) | \(7847727121125\) | \([]\) | \(68544\) | \(1.2029\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 21675bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 21675bb do not have complex multiplication.Modular form 21675.2.a.bb
sage: E.q_eigenform(10)