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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 426888u
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 426888.u1 | 426888u1 | \([0, 0, 0, -158873484, -721481013484]\) | \(274717696/19683\) | \(31774785502105068836523264\) | \([]\) | \(102187008\) | \(3.6403\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 426888u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 426888u do not have complex multiplication.Modular form 426888.2.a.u
sage: E.q_eigenform(10)