Properties

Label 42336.cq
Number of curves $1$
Conductor $42336$
CM no
Rank $1$

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

Elliptic curves in class 42336.cq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
42336.cq1 42336ch1 \([0, 0, 0, -10584, -444528]\) \(-13824\) \(-9485046853632\) \([]\) \(95040\) \(1.2397\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 42336.cq1 has rank \(1\).

Complex multiplication

The elliptic curves in class 42336.cq do not have complex multiplication.

Modular form 42336.2.a.cq

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