Properties

Label 16900b
Number of curves $1$
Conductor $16900$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 16900b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16900.i1 16900b1 \([0, 0, 0, 105625, -13731250]\) \(10800/13\) \(-156871292500000000\) \([]\) \(120960\) \(1.9857\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16900b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 16900b do not have complex multiplication.

Modular form 16900.2.a.b

sage: E.q_eigenform(10)
 
\(q - 3 q^{7} - 3 q^{9} - 3 q^{11} + q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display