Properties

Label 966.d
Number of curves $1$
Conductor $966$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 966.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
966.d1 966b1 \([1, 1, 0, -5131, -144323]\) \(-14943832855786297/85501108224\) \(-85501108224\) \([]\) \(1560\) \(0.93940\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 966.d1 has rank \(0\).

Complex multiplication

The elliptic curves in class 966.d do not have complex multiplication.

Modular form 966.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + 3 q^{5} + q^{6} + q^{7} - q^{8} + q^{9} - 3 q^{10} + 4 q^{11} - q^{12} + 3 q^{13} - q^{14} - 3 q^{15} + q^{16} - q^{18} + O(q^{20})\) Copy content Toggle raw display