Properties

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

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 16900.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16900.m1 16900c1 \([0, 1, 0, -2253, -28417]\) \(40960/13\) \(401590508800\) \([]\) \(12096\) \(0.93044\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16900.m1 has rank \(0\).

Complex multiplication

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

Modular form 16900.2.a.m

sage: E.q_eigenform(10)
 
\(q + q^{3} + 2 q^{7} - 2 q^{9} + 2 q^{11} - 2 q^{17} + O(q^{20})\) Copy content Toggle raw display