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SageMath
E = EllipticCurve("du1")
E.isogeny_class()
Elliptic curves in class 166464du
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 166464.ex1 | 166464du1 | \([0, 0, 0, 124848, 4244832]\) | \(27648/17\) | \(-132328588913197056\) | \([]\) | \(884736\) | \(1.9745\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 166464du1 has rank \(0\).
Complex multiplication
The elliptic curves in class 166464du do not have complex multiplication.Modular form 166464.2.a.du
sage: E.q_eigenform(10)