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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 60840.w
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 60840.w1 | 60840l1 | \([0, 0, 0, -3783, -89557]\) | \(3037375744/25\) | \(49280400\) | \([]\) | \(34560\) | \(0.64644\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 60840.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 60840.w do not have complex multiplication.Modular form 60840.2.a.w
sage: E.q_eigenform(10)