Properties

Label 4650.br
Number of curves $1$
Conductor $4650$
CM no
Rank $0$

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

Elliptic curves in class 4650.br

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4650.br1 4650bk1 \([1, 0, 0, -633, -6183]\) \(-1122115892665/8928\) \(-223200\) \([]\) \(1440\) \(0.19858\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4650.br1 has rank \(0\).

Complex multiplication

The elliptic curves in class 4650.br do not have complex multiplication.

Modular form 4650.2.a.br

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{6} + q^{7} + q^{8} + q^{9} + 5 q^{11} + q^{12} + q^{13} + q^{14} + q^{16} + q^{18} + O(q^{20})\) Copy content Toggle raw display