Properties

Label 3330.x
Number of curves 11
Conductor 33303330
CM no
Rank 00

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Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 3330.x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3330.x1 3330u1 [1,1,1,13,69][1, -1, 1, 13, 69] 357911/3330357911/3330 2427570-2427570 [][] 640640 0.093580-0.093580 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3330.x1 has rank 00.

Complex multiplication

The elliptic curves in class 3330.x do not have complex multiplication.

Modular form 3330.2.a.x

sage: E.q_eigenform(10)
 
q+q2+q4+q5+q7+q8+q10+q11+2q13+q14+q16+7q172q19+O(q20)q + q^{2} + q^{4} + q^{5} + q^{7} + q^{8} + q^{10} + q^{11} + 2 q^{13} + q^{14} + q^{16} + 7 q^{17} - 2 q^{19} + O(q^{20}) Copy content Toggle raw display