Properties

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

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 14700.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14700.f1 14700k1 \([0, -1, 0, -71458, -13592963]\) \(-6400/9\) \(-56747259843750000\) \([]\) \(161280\) \(1.9071\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14700.f1 has rank \(1\).

Complex multiplication

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

Modular form 14700.2.a.f

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