Properties

Label 190608bq
Number of curves $1$
Conductor $190608$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bq1")
 
E.isogeny_class()
 

Elliptic curves in class 190608bq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
190608.p1 190608bq1 \([0, -1, 0, 11432, 67753456]\) \(2375/28512\) \(-1983427991244767232\) \([]\) \(3283200\) \(2.1899\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 190608bq1 has rank \(1\).

Complex multiplication

The elliptic curves in class 190608bq do not have complex multiplication.

Modular form 190608.2.a.bq

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