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SageMath
E = EllipticCurve("dq1")
E.isogeny_class()
Elliptic curves in class 289296dq
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 289296.dq1 | 289296dq1 | \([0, 0, 0, -4557, 117943]\) | \(373698304/1681\) | \(47076848784\) | \([]\) | \(293760\) | \(0.89955\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 289296dq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 289296dq do not have complex multiplication.Modular form 289296.2.a.dq
sage: E.q_eigenform(10)