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SageMath
E = EllipticCurve("br1")
E.isogeny_class()
Elliptic curves in class 70602.br
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 70602.br1 | 70602bq1 | \([1, 0, 0, 8285614, -42897984252]\) | \(13243252505373071/175030351276032\) | \(-831412413899999364851712\) | \([]\) | \(14636160\) | \(3.2706\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 70602.br1 has rank \(0\).
Complex multiplication
The elliptic curves in class 70602.br do not have complex multiplication.Modular form 70602.2.a.br
sage: E.q_eigenform(10)