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SageMath
E = EllipticCurve("bq1")
E.isogeny_class()
Elliptic curves in class 12600bq
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 12600.d1 | 12600bq1 | \([0, 0, 0, -8475, -395050]\) | \(-1947910950/823543\) | \(-28461646080000\) | \([]\) | \(29568\) | \(1.2894\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 12600bq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 12600bq do not have complex multiplication.Modular form 12600.2.a.bq
sage: E.q_eigenform(10)