Properties

Label 14700.w
Number of curves $1$
Conductor $14700$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("w1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 14700.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
14700.w1 14700m1 [0, -1, 0, -9998, 388137] [] 13824 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14700.w1 has rank \(1\).

Complex multiplication

The elliptic curves in class 14700.w do not have complex multiplication.

Modular form 14700.2.a.w

sage: E.q_eigenform(10)
 
\( q - q^{3} + q^{9} + 5q^{11} + 2q^{13} + 2q^{17} - 6q^{19} + O(q^{20}) \)