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SageMath
E = EllipticCurve("dq1")
E.isogeny_class()
Elliptic curves in class 66240.dq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
66240.dq1 | 66240cq1 | \([0, 0, 0, 274128, -242944864]\) | \(190737654201344/2245153696875\) | \(-26815972065638400000\) | \([]\) | \(1228800\) | \(2.4089\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66240.dq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 66240.dq do not have complex multiplication.Modular form 66240.2.a.dq
sage: E.q_eigenform(10)