Properties

Label 333200.cq
Number of curves $1$
Conductor $333200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cq1")
 
E.isogeny_class()
 

Elliptic curves in class 333200.cq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
333200.cq1 333200cq1 \([0, -1, 0, 14292, 684412]\) \(14000/17\) \(-392006468000000\) \([]\) \(1161216\) \(1.4863\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 333200.cq1 has rank \(1\).

Complex multiplication

The elliptic curves in class 333200.cq do not have complex multiplication.

Modular form 333200.2.a.cq

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{9} + 5 q^{11} + 5 q^{13} + q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display