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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 132600p
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 132600.d1 | 132600p1 | \([0, -1, 0, -333633, -686472363]\) | \(-1026767289066496/50316682419315\) | \(-201266729677260000000\) | \([]\) | \(5091840\) | \(2.5759\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 132600p1 has rank \(0\).
Complex multiplication
The elliptic curves in class 132600p do not have complex multiplication.Modular form 132600.2.a.p
sage: E.q_eigenform(10)