Show commands:
SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 48139n
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 48139.d1 | 48139n1 | \([0, 0, 1, -809899, 393137062]\) | \(-396870925750272/221358574619\) | \(-32769013381496501291\) | \([]\) | \(3928320\) | \(2.4480\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 48139n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 48139n do not have complex multiplication.Modular form 48139.2.a.n
sage: E.q_eigenform(10)