Properties

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

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 32192.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
32192.b1 32192y1 \([0, 0, 0, -8620, -310064]\) \(-270212594625/2060288\) \(-540092137472\) \([]\) \(92160\) \(1.0812\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 32192.b1 has rank \(0\).

Complex multiplication

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

Modular form 32192.2.a.b

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + 3 q^{7} + 6 q^{9} + q^{11} - 5 q^{13} + 4 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display