Properties

Label 14960.f
Number of curves $1$
Conductor $14960$
CM no
Rank $1$

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

Elliptic curves in class 14960.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14960.f1 14960q1 \([0, -1, 0, 80, 320]\) \(13651919/20570\) \(-84254720\) \([]\) \(3072\) \(0.20616\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14960.f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 14960.f do not have complex multiplication.

Modular form 14960.2.a.f

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - 4 q^{7} - 2 q^{9} + q^{11} - q^{13} - q^{15} + q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display