Properties

Label 36414.br
Number of curves $1$
Conductor $36414$
CM no
Rank $1$

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Show commands: 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)
 
\(q + q^{2} + q^{4} - 3 q^{5} - q^{7} + q^{8} - 3 q^{10} - q^{11} + q^{13} - q^{14} + q^{16} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display