Properties

Label 202800cu
Number of curves $1$
Conductor $202800$
CM no
Rank $1$

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

Elliptic curves in class 202800cu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
202800.jl1 202800cu1 \([0, 1, 0, -22533, 11872563]\) \(-4096/195\) \(-60238576320000000\) \([]\) \(1935360\) \(1.8998\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 202800cu1 has rank \(1\).

Complex multiplication

The elliptic curves in class 202800cu do not have complex multiplication.

Modular form 202800.2.a.cu

sage: E.q_eigenform(10)
 
\(q + q^{3} + 3 q^{7} + q^{9} - 5 q^{11} - 5 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display