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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 38646u
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 38646.ba1 | 38646u1 | \([1, -1, 1, -2417, 46217]\) | \(2141202151369/6200536\) | \(4520190744\) | \([]\) | \(25920\) | \(0.72346\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38646u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 38646u do not have complex multiplication.Modular form 38646.2.a.u
sage: E.q_eigenform(10)