Properties

Label 208725.d
Number of curves 11
Conductor 208725208725
CM no
Rank 00

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 208725.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
208725.d1 208725l1 [0,1,1,24402,4383488][0, -1, 1, 24402, 4383488] 2478080/142832478080/14283 9261605889402075-9261605889402075 [][] 19198081919808 1.74571.7457 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 208725.d1 has rank 00.

Complex multiplication

The elliptic curves in class 208725.d do not have complex multiplication.

Modular form 208725.2.a.d

sage: E.q_eigenform(10)
 
q2q2q3+2q4+2q6+3q7+q92q123q136q144q162q18+O(q20)q - 2 q^{2} - q^{3} + 2 q^{4} + 2 q^{6} + 3 q^{7} + q^{9} - 2 q^{12} - 3 q^{13} - 6 q^{14} - 4 q^{16} - 2 q^{18} + O(q^{20}) Copy content Toggle raw display