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SageMath
E = EllipticCurve("br1")
E.isogeny_class()
Elliptic curves in class 36414.br
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
36414.br1 | 36414cn1 | \([1, -1, 1, 49043101, -436960340701]\) | \(150900148890919/1041386274432\) | \(-90028428648651451357209216\) | \([]\) | \(11576320\) | \(3.6618\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 36414.br1 has rank \(1\).
Complex multiplication
The elliptic curves in class 36414.br do not have complex multiplication.Modular form 36414.2.a.br
sage: E.q_eigenform(10)