Properties

Label 88445br
Number of curves $1$
Conductor $88445$
CM no
Rank $0$

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

Elliptic curves in class 88445br

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88445.be1 88445br1 \([1, 1, 0, -767, -8504]\) \(2826773089/25\) \(442225\) \([]\) \(24192\) \(0.24959\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88445br1 has rank \(0\).

Complex multiplication

The elliptic curves in class 88445br do not have complex multiplication.

Modular form 88445.2.a.br

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} - q^{4} + q^{5} - q^{6} - 3 q^{8} - 2 q^{9} + q^{10} + 3 q^{11} + q^{12} + 5 q^{13} - q^{15} - q^{16} + 3 q^{17} - 2 q^{18} + O(q^{20})\) Copy content Toggle raw display