Properties

Label 9660.f
Number of curves $1$
Conductor $9660$
CM no
Rank $0$

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

Elliptic curves in class 9660.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9660.f1 9660f1 \([0, 1, 0, -24325925, 188071325175]\) \(-6218589009063615570313216/56094690913037211867075\) \(-14360240873737526237971200\) \([]\) \(2210208\) \(3.5097\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9660.f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 9660.f do not have complex multiplication.

Modular form 9660.2.a.f

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