Properties

Label 16184.a
Number of curves $1$
Conductor $16184$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 16184.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16184.a1 16184c1 \([0, 1, 0, -67144, -6725715]\) \(-299944192/343\) \(-38282956836208\) \([]\) \(51408\) \(1.5195\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16184.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 16184.a do not have complex multiplication.

Modular form 16184.2.a.a

sage: E.q_eigenform(10)
 
\(q - 2q^{3} - 2q^{5} - q^{7} + q^{9} - 4q^{13} + 4q^{15} - 6q^{19} + O(q^{20})\)  Toggle raw display