Properties

Label 112710.br
Number of curves $1$
Conductor $112710$
CM no
Rank $1$

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

Elliptic curves in class 112710.br

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
112710.br1 112710bv1 \([1, 1, 1, -6717811, -6828321487]\) \(-4806353270849329/103667466240\) \(-723159099013296291840\) \([]\) \(8225280\) \(2.7923\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 112710.br1 has rank \(1\).

Complex multiplication

The elliptic curves in class 112710.br do not have complex multiplication.

Modular form 112710.2.a.br

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{5} - q^{6} - 4 q^{7} + q^{8} + q^{9} - q^{10} + 3 q^{11} - q^{12} - q^{13} - 4 q^{14} + q^{15} + q^{16} + q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display