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SageMath
E = EllipticCurve("u1")
E.isogeny_class()
Elliptic curves in class 4900u
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 4900.d1 | 4900u1 | \([0, 1, 0, -71458, -7415787]\) | \(-160000\) | \(-252210043750000\) | \([]\) | \(20160\) | \(1.6015\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4900u1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4900u do not have complex multiplication.Modular form 4900.2.a.u
sage: E.q_eigenform(10)