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SageMath
E = EllipticCurve("bd1")
E.isogeny_class()
Elliptic curves in class 67600bd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 67600.f1 | 67600bd1 | \([0, 0, 0, -422500, -93372500]\) | \(17280000/2197\) | \(1060449937300000000\) | \([]\) | \(1451520\) | \(2.1879\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67600bd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 67600bd do not have complex multiplication.Modular form 67600.2.a.bd
sage: E.q_eigenform(10)