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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 77658.w
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 77658.w1 | 77658w1 | \([1, 1, 1, -11875241, 9175768247]\) | \(29298155334152041/11194902450144\) | \(70767042685499846329056\) | \([]\) | \(8426880\) | \(3.0837\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 77658.w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 77658.w do not have complex multiplication.Modular form 77658.2.a.w
sage: E.q_eigenform(10)