Properties

Label 16184e
Number of curves $1$
Conductor $16184$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("e1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 16184e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16184.f1 16184e1 \([0, -1, 0, -232, -1287]\) \(-299944192/343\) \(-1586032\) \([]\) \(3024\) \(0.10292\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16184e1 has rank \(1\).

Complex multiplication

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

Modular form 16184.2.a.e

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