Properties

Label 264600.gc
Number of curves 11
Conductor 264600264600
CM no
Rank 00

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Show commands: SageMath
E = EllipticCurve("gc1")
 
E.isogeny_class()
 

Elliptic curves in class 264600.gc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
264600.gc1 264600gc1 [0,0,0,525,5250][0, 0, 0, 525, -5250] 756756 21168000000-21168000000 [][] 147456147456 0.667150.66715 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 264600.gc1 has rank 00.

Complex multiplication

The elliptic curves in class 264600.gc do not have complex multiplication.

Modular form 264600.2.a.gc

sage: E.q_eigenform(10)
 
q+4q11q13+4q19+O(q20)q + 4 q^{11} - q^{13} + 4 q^{19} + O(q^{20}) Copy content Toggle raw display