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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 64400.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
64400.p1 | 64400d1 | \([0, -1, 0, -81908, 9051187]\) | \(-243090490825984/34514375\) | \(-8628593750000\) | \([]\) | \(172032\) | \(1.4982\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 64400.p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 64400.p do not have complex multiplication.Modular form 64400.2.a.p
sage: E.q_eigenform(10)