Properties

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

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 32192n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
32192.ba1 32192n1 \([0, 0, 0, -52, -160]\) \(-3796416/503\) \(-2060288\) \([]\) \(18688\) \(-0.055702\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 32192n1 has rank \(0\).

Complex multiplication

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

Modular form 32192.2.a.n

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} - 4 q^{5} + 3 q^{7} + 6 q^{9} + 3 q^{11} - 7 q^{13} - 12 q^{15} - 2 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display