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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 39600.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
39600.p1 | 39600bp1 | \([0, 0, 0, -172999875, 877153171250]\) | \(-1963692857508260740/3452093881137\) | \(-1006630575739549200000000\) | \([]\) | \(5913600\) | \(3.4991\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 39600.p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 39600.p do not have complex multiplication.Modular form 39600.2.a.p
sage: E.q_eigenform(10)