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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 28880p
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 28880.t1 | 28880p1 | \([0, 1, 0, 889384, 319505684]\) | \(1118413511/1280000\) | \(-89042782996398080000\) | \([]\) | \(722304\) | \(2.5144\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28880p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 28880p do not have complex multiplication.Modular form 28880.2.a.p
sage: E.q_eigenform(10)