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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 39675n
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 39675.bq1 | 39675n1 | \([0, -1, 1, -4408, 37593]\) | \(2166784/1125\) | \(4919080078125\) | \([]\) | \(110592\) | \(1.1273\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 39675n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 39675n do not have complex multiplication.Modular form 39675.2.a.n
sage: E.q_eigenform(10)