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SageMath
E = EllipticCurve("bq1")
E.isogeny_class()
Elliptic curves in class 47775.bq
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 47775.bq1 | 47775d1 | \([0, -1, 1, 802196967, 500409993593]\) | \(633814853024541310976/367993254509587395\) | \(-33146998149845686316928046875\) | \([]\) | \(40622400\) | \(4.1620\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47775.bq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 47775.bq do not have complex multiplication.Modular form 47775.2.a.bq
sage: E.q_eigenform(10)