Properties

Label 192027o
Number of curves $1$
Conductor $192027$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 192027o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
192027.k1 192027o1 \([1, 1, 0, 7016, 487381]\) \(2783/9\) \(-123488078525361\) \([]\) \(792000\) \(1.3871\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 192027o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 192027o do not have complex multiplication.

Modular form 192027.2.a.o

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} - q^{4} - 3 q^{5} - q^{6} + 4 q^{7} - 3 q^{8} + q^{9} - 3 q^{10} + q^{12} - 5 q^{13} + 4 q^{14} + 3 q^{15} - q^{16} - 3 q^{17} + q^{18} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display