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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 27584.q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
27584.q1 | 27584q1 | \([0, 1, 0, 63, 191]\) | \(415292/431\) | \(-28246016\) | \([]\) | \(5120\) | \(0.11648\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 27584.q1 has rank \(2\).
Complex multiplication
The elliptic curves in class 27584.q do not have complex multiplication.Modular form 27584.2.a.q
sage: E.q_eigenform(10)