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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 160446w
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 160446.bb1 | 160446w1 | \([1, 1, 1, -85, 93083]\) | \(-51064811/2814323616\) | \(-3745864732896\) | \([]\) | \(291840\) | \(1.0915\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 160446w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 160446w do not have complex multiplication.Modular form 160446.2.a.w
sage: E.q_eigenform(10)