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SageMath
E = EllipticCurve("dq1")
E.isogeny_class()
Elliptic curves in class 92400dq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
92400.bd1 | 92400dq1 | \([0, -1, 0, 628942, 95706987]\) | \(110056273881297152/79587574568271\) | \(-19896893642067750000\) | \([]\) | \(1814400\) | \(2.3915\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92400dq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 92400dq do not have complex multiplication.Modular form 92400.2.a.dq
sage: E.q_eigenform(10)