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SageMath
E = EllipticCurve("br1")
E.isogeny_class()
Elliptic curves in class 49686br
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
49686.y1 | 49686br1 | \([1, 0, 1, -6003898, -3966747718]\) | \(249395415529/73513818\) | \(7055114026355156228922\) | \([]\) | \(6289920\) | \(2.8981\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 49686br1 has rank \(1\).
Complex multiplication
The elliptic curves in class 49686br do not have complex multiplication.Modular form 49686.2.a.br
sage: E.q_eigenform(10)