Properties

Label 16830cb
Number of curves $1$
Conductor $16830$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cb1")
 
E.isogeny_class()
 

Elliptic curves in class 16830cb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16830.bv1 16830cb1 \([1, -1, 1, -38183, -2935713]\) \(-8444922396903721/253364474880\) \(-184702702187520\) \([]\) \(80640\) \(1.5155\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16830cb1 has rank \(0\).

Complex multiplication

The elliptic curves in class 16830cb do not have complex multiplication.

Modular form 16830.2.a.cb

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - q^{5} + 3 q^{7} + q^{8} - q^{10} - q^{11} - q^{13} + 3 q^{14} + q^{16} + q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display