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SageMath
E = EllipticCurve("bq1")
E.isogeny_class()
Elliptic curves in class 129360.bq
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 129360.bq1 | 129360c1 | \([0, -1, 0, -30173481, -63781609275]\) | \(2058617635951442944/122298103125\) | \(180486202161434400000\) | \([]\) | \(8064000\) | \(2.9486\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 129360.bq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 129360.bq do not have complex multiplication.Modular form 129360.2.a.bq
sage: E.q_eigenform(10)