Properties

Label 32192.v
Number of curves $1$
Conductor $32192$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 32192.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
32192.v1 32192h1 \([0, 1, 0, -1473, 27551]\) \(-1349232625/515072\) \(-135023034368\) \([]\) \(23040\) \(0.84533\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 32192.v1 has rank \(0\).

Complex multiplication

The elliptic curves in class 32192.v do not have complex multiplication.

Modular form 32192.2.a.v

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{7} - 2 q^{9} + 5 q^{11} + 5 q^{13} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display