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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 179088y
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 179088.f1 | 179088y1 | \([0, -1, 0, -5712, -130176]\) | \(5032738790353/1072546839\) | \(4393151852544\) | \([]\) | \(399360\) | \(1.1403\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 179088y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 179088y do not have complex multiplication.Modular form 179088.2.a.y
sage: E.q_eigenform(10)