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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 179088bg
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 179088.s1 | 179088bg1 | \([0, -1, 0, -606856, -181480208]\) | \(6034224034719280009/10659567050496\) | \(43661586638831616\) | \([]\) | \(2076672\) | \(2.0859\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 179088bg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 179088bg do not have complex multiplication.Modular form 179088.2.a.bg
sage: E.q_eigenform(10)