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SageMath
E = EllipticCurve("br1")
E.isogeny_class()
Elliptic curves in class 230640.br
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 230640.br1 | 230640br1 | \([0, 1, 0, -48450096, -129850410156]\) | \(-116142843439/30720\) | \(-3326874389609730539520\) | \([]\) | \(31426560\) | \(3.1140\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 230640.br1 has rank \(0\).
Complex multiplication
The elliptic curves in class 230640.br do not have complex multiplication.Modular form 230640.2.a.br
sage: E.q_eigenform(10)