Properties

Label 265650.cd
Number of curves $1$
Conductor $265650$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cd1")
 
E.isogeny_class()
 

Elliptic curves in class 265650.cd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
265650.cd1 265650cd1 \([1, 0, 1, -31651, -10160302]\) \(-224412099736609/2722801160772\) \(-42543768137062500\) \([]\) \(2741760\) \(1.8726\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 265650.cd1 has rank \(0\).

Complex multiplication

The elliptic curves in class 265650.cd do not have complex multiplication.

Modular form 265650.2.a.cd

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