Properties

Label 471510br
Number of curves $1$
Conductor $471510$
CM no
Rank $0$

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

Elliptic curves in class 471510br

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
471510.br1 471510br1 \([1, -1, 0, 148266, -12097292]\) \(102437538839/77137920\) \(-271428574736517120\) \([]\) \(8110080\) \(2.0334\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 471510br1 has rank \(0\).

Complex multiplication

The elliptic curves in class 471510br do not have complex multiplication.

Modular form 471510.2.a.br

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{5} - 3 q^{7} - q^{8} - q^{10} + 3 q^{11} + 3 q^{14} + q^{16} - 8 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display