Properties

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

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 32192l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
32192.m1 32192l1 \([0, -1, 0, -13441, -595327]\) \(-1024497361441/503\) \(-131858432\) \([]\) \(51200\) \(0.89288\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 32192l1 has rank \(0\).

Complex multiplication

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

Modular form 32192.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{3} + 4 q^{5} - 3 q^{7} - 2 q^{9} - 5 q^{11} - q^{13} - 4 q^{15} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display