Properties

Label 16900.l
Number of curves $1$
Conductor $16900$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 16900.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16900.l1 16900e1 \([0, 1, 0, -128158, 4056313]\) \(1141504/625\) \(127457925156250000\) \([]\) \(179712\) \(1.9729\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16900.l1 has rank \(2\).

Complex multiplication

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

Modular form 16900.2.a.l

sage: E.q_eigenform(10)
 
\(q + q^{3} - 5 q^{7} - 2 q^{9} - 5 q^{11} + q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display