Properties

Label 66654.cb
Number of curves $1$
Conductor $66654$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cb1")
 
E.isogeny_class()
 

Elliptic curves in class 66654.cb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
66654.cb1 66654bs1 \([1, -1, 1, -24431171, -46702924221]\) \(-14943832855786297/85501108224\) \(-9227122540923862278144\) \([]\) \(6589440\) \(3.0565\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 66654.cb1 has rank \(0\).

Complex multiplication

The elliptic curves in class 66654.cb do not have complex multiplication.

Modular form 66654.2.a.cb

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