Properties

Label 184041ca
Number of curves $1$
Conductor $184041$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ca1")
 
E.isogeny_class()
 

Elliptic curves in class 184041ca

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
184041.ca1 184041ca1 \([0, 0, 1, 5577, -30209]\) \(45056/27\) \(-11495735867187\) \([]\) \(663552\) \(1.1954\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 184041ca1 has rank \(1\).

Complex multiplication

The elliptic curves in class 184041ca do not have complex multiplication.

Modular form 184041.2.a.ca

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + 2 q^{4} + 4 q^{5} + q^{7} + 8 q^{10} + 2 q^{14} - 4 q^{16} + 4 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display