Properties

Label 16562bv
Number of curves $1$
Conductor $16562$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bv1")
 
E.isogeny_class()
 

Elliptic curves in class 16562bv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16562.bc1 16562bv1 \([1, 0, 0, -36, -92]\) \(-48013/4\) \(-430612\) \([]\) \(3744\) \(-0.17347\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16562bv1 has rank \(0\).

Complex multiplication

The elliptic curves in class 16562bv do not have complex multiplication.

Modular form 16562.2.a.bv

sage: E.q_eigenform(10)
 
\(q + q^{2} - 2 q^{3} + q^{4} + 4 q^{5} - 2 q^{6} + q^{8} + q^{9} + 4 q^{10} + q^{11} - 2 q^{12} - 8 q^{15} + q^{16} + q^{17} + q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display