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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 300033a
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 300033.a1 | 300033a1 | \([0, 0, 1, 81202713, 315552136558]\) | \(81228381874428716689043456/106013477073021185065059\) | \(-77283824786232443912428011\) | \([]\) | \(86123520\) | \(3.6533\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 300033a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 300033a do not have complex multiplication.Modular form 300033.2.a.a
sage: E.q_eigenform(10)