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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 57960.u
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 57960.u1 | 57960q1 | \([0, 0, 0, -1623, -49597]\) | \(-40535147776/67648175\) | \(-789048313200\) | \([]\) | \(57600\) | \(0.97364\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 57960.u1 has rank \(1\).
Complex multiplication
The elliptic curves in class 57960.u do not have complex multiplication.Modular form 57960.2.a.u
sage: E.q_eigenform(10)