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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 2576.p
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 2576.p1 | 2576f1 | \([0, 0, 0, 24425, 37215701]\) | \(100718081964000000/37453512751940327\) | \(-599256204031045232\) | \([]\) | \(48960\) | \(2.0903\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2576.p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2576.p do not have complex multiplication.Modular form 2576.2.a.p
sage: E.q_eigenform(10)