Properties

Label 10626n
Number of curves $1$
Conductor $10626$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 10626n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
10626.n1 10626n1 \([1, 1, 1, -1266, -81789]\) \(-224412099736609/2722801160772\) \(-2722801160772\) \([]\) \(34272\) \(1.0679\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 10626n1 has rank \(0\).

Complex multiplication

The elliptic curves in class 10626n do not have complex multiplication.

Modular form 10626.2.a.n

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} + 4 q^{5} - q^{6} + q^{7} + q^{8} + q^{9} + 4 q^{10} - q^{11} - q^{12} - q^{13} + q^{14} - 4 q^{15} + q^{16} + 7 q^{17} + q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display