Properties

Label 117600.q
Number of curves 11
Conductor 117600117600
CM no
Rank 11

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 117600.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
117600.q1 117600fg1 [0,1,0,1878,30708][0, -1, 0, -1878, -30708] 9348149440/243-9348149440/243 19051200-19051200 [][] 5760057600 0.503290.50329 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 117600.q1 has rank 11.

Complex multiplication

The elliptic curves in class 117600.q do not have complex multiplication.

Modular form 117600.2.a.q

sage: E.q_eigenform(10)
 
qq3+q94q11+3q13+4q17q19+O(q20)q - q^{3} + q^{9} - 4 q^{11} + 3 q^{13} + 4 q^{17} - q^{19} + O(q^{20}) Copy content Toggle raw display