Properties

Label 400710br
Number of curves $1$
Conductor $400710$
CM no
Rank $1$

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

Elliptic curves in class 400710br

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
400710.br1 400710br1 \([1, 0, 0, 73095, 3953025]\) \(918046641959/674325000\) \(-31724213705325000\) \([]\) \(5132160\) \(1.8546\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 400710br1 has rank \(1\).

Complex multiplication

The elliptic curves in class 400710br do not have complex multiplication.

Modular form 400710.2.a.br

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{5} + q^{6} + 3 q^{7} + q^{8} + q^{9} + q^{10} - 5 q^{11} + q^{12} + 2 q^{13} + 3 q^{14} + q^{15} + q^{16} - 7 q^{17} + q^{18} + O(q^{20})\) Copy content Toggle raw display