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SageMath
E = EllipticCurve("br1")
E.isogeny_class()
Elliptic curves in class 327990.br
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 327990.br1 | 327990br1 | \([1, 0, 0, -2990, -63150]\) | \(3515202588121/1901250\) | \(1598951250\) | \([]\) | \(299520\) | \(0.71494\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 327990.br1 has rank \(1\).
Complex multiplication
The elliptic curves in class 327990.br do not have complex multiplication.Modular form 327990.2.a.br
sage: E.q_eigenform(10)