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SageMath
E = EllipticCurve("dw1")
E.isogeny_class()
Elliptic curves in class 289800.dw
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 289800.dw1 | 289800dw1 | \([0, 0, 0, -88275, 14332750]\) | \(-3261064466/1917027\) | \(-44720405856000000\) | \([]\) | \(2073600\) | \(1.8975\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 289800.dw1 has rank \(0\).
Complex multiplication
The elliptic curves in class 289800.dw do not have complex multiplication.Modular form 289800.2.a.dw
sage: E.q_eigenform(10)