Properties

Label 127008.br
Number of curves $1$
Conductor $127008$
CM no
Rank $1$

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

Elliptic curves in class 127008.br

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
127008.br1 127008bn1 \([0, 0, 0, -5292, 296352]\) \(-576\) \(-28455140560896\) \([]\) \(207360\) \(1.2721\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 127008.br1 has rank \(1\).

Complex multiplication

The elliptic curves in class 127008.br do not have complex multiplication.

Modular form 127008.2.a.br

sage: E.q_eigenform(10)
 
\(q + q^{5} + 2 q^{11} - q^{13} + 3 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display