Properties

Label 254016.dc
Number of curves 11
Conductor 254016254016
CM no
Rank 00

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Show commands: SageMath
E = EllipticCurve("dc1")
 
E.isogeny_class()
 

Elliptic curves in class 254016.dc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
254016.dc1 254016dc1 [0,0,0,1323,37044][0, 0, 0, -1323, -37044] 576-576 444611571264-444611571264 [][] 207360207360 0.925520.92552 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 254016.dc1 has rank 00.

Complex multiplication

The elliptic curves in class 254016.dc do not have complex multiplication.

Modular form 254016.2.a.dc

sage: E.q_eigenform(10)
 
qq5+2q11+q13+3q17+2q19+O(q20)q - q^{5} + 2 q^{11} + q^{13} + 3 q^{17} + 2 q^{19} + O(q^{20}) Copy content Toggle raw display