Properties

Label 229320.cu
Number of curves $1$
Conductor $229320$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cu1")
 
E.isogeny_class()
 

Elliptic curves in class 229320.cu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
229320.cu1 229320ch1 \([0, 0, 0, 588, 19796]\) \(1354752/10985\) \(-182303896320\) \([]\) \(246528\) \(0.84216\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 229320.cu1 has rank \(1\).

Complex multiplication

The elliptic curves in class 229320.cu do not have complex multiplication.

Modular form 229320.2.a.cu

sage: E.q_eigenform(10)
 
\(q + q^{5} - 4 q^{11} - q^{13} + 3 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display