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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 71148x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 71148.bc1 | 71148x1 | \([0, -1, 0, -134483554, 660250776781]\) | \(-235165059164416/28529701497\) | \(-32632900851313153257262704\) | \([]\) | \(17740800\) | \(3.6307\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 71148x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 71148x do not have complex multiplication.Modular form 71148.2.a.x
sage: E.q_eigenform(10)