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SageMath
E = EllipticCurve("br1")
E.isogeny_class()
Elliptic curves in class 187200.br
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 187200.br1 | 187200kx1 | \([0, 0, 0, 1140, -25360]\) | \(34295/78\) | \(-372650803200\) | \([]\) | \(258048\) | \(0.90441\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 187200.br1 has rank \(0\).
Complex multiplication
The elliptic curves in class 187200.br do not have complex multiplication.Modular form 187200.2.a.br
sage: E.q_eigenform(10)