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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 69366u
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 69366.w1 | 69366u1 | \([1, 0, 0, -4357, 107903]\) | \(9147293661734353/229865258898\) | \(229865258898\) | \([]\) | \(100224\) | \(0.96309\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 69366u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 69366u do not have complex multiplication.Modular form 69366.2.a.u
sage: E.q_eigenform(10)