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SageMath
sage: E = EllipticCurve("dx1")
sage: E.isogeny_class()
Elliptic curves in class 15680dx
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 15680.i1 | 15680dx1 | [0, 0, 0, 98, -686] | [] | 9216 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15680dx1 has rank \(0\).
Complex multiplication
The elliptic curves in class 15680dx do not have complex multiplication.Modular form 15680.2.a.dx
sage: E.q_eigenform(10)