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SageMath
E = EllipticCurve("br1")
E.isogeny_class()
Elliptic curves in class 178112.br
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 178112.br1 | 178112cc1 | \([0, 1, 0, -2097, -38953]\) | \(-562432/23\) | \(-41723804672\) | \([]\) | \(179200\) | \(0.80540\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 178112.br1 has rank \(0\).
Complex multiplication
The elliptic curves in class 178112.br do not have complex multiplication.Modular form 178112.2.a.br
sage: E.q_eigenform(10)