Properties

Label 46200.br
Number of curves $1$
Conductor $46200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("br1")
 
E.isogeny_class()
 

Elliptic curves in class 46200.br

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
46200.br1 46200cj1 \([0, -1, 0, -1019408, 402456012]\) \(-91528907990864450/1604769890031\) \(-2054105459239680000\) \([]\) \(798336\) \(2.3113\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 46200.br1 has rank \(1\).

Complex multiplication

The elliptic curves in class 46200.br do not have complex multiplication.

Modular form 46200.2.a.br

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{7} + q^{9} + q^{11} + 4 q^{13} - 4 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display