Properties

Label 666.b
Number of curves $1$
Conductor $666$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 666.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
666.b1 666b1 \([1, -1, 0, 153, -4685]\) \(541343375/13108878\) \(-9556372062\) \([]\) \(352\) \(0.59524\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 666.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 666.b do not have complex multiplication.

Modular form 666.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + 3 q^{7} - q^{8} - q^{11} + q^{13} - 3 q^{14} + q^{16} + 3 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display