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SageMath
E = EllipticCurve("dq1")
E.isogeny_class()
Elliptic curves in class 9450.dq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9450.dq1 | 9450cv1 | \([1, -1, 1, -92180, -21964553]\) | \(-250360359/458752\) | \(-158723712000000000\) | \([]\) | \(115200\) | \(1.9906\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9450.dq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9450.dq do not have complex multiplication.Modular form 9450.2.a.dq
sage: E.q_eigenform(10)