Properties

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

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 16900.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16900.r1 16900o1 \([0, 0, 0, -54925, 3570125]\) \(89856/25\) \(5098317006250000\) \([]\) \(179712\) \(1.7212\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16900.r1 has rank \(0\).

Complex multiplication

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

Modular form 16900.2.a.r

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} - 3 q^{7} + 6 q^{9} + 3 q^{11} + 7 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display