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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 374790.bb
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 374790.bb1 | 374790bb1 | \([1, 1, 0, -108532957, 435253430839]\) | \(-172501027721881/44489250\) | \(-36464647766560600889250\) | \([]\) | \(77405760\) | \(3.3148\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 374790.bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 374790.bb do not have complex multiplication.Modular form 374790.2.a.bb
sage: E.q_eigenform(10)