Properties

Label 66924b
Number of curves $1$
Conductor $66924$
CM no
Rank $0$

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

Elliptic curves in class 66924b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
66924.g1 66924b1 \([0, 0, 0, -168480, -26617708]\) \(-452770725888000/14641\) \(-17102562048\) \([]\) \(135936\) \(1.4653\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 66924b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 66924b do not have complex multiplication.

Modular form 66924.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{7} - q^{11} - 4 q^{17} + O(q^{20})\) Copy content Toggle raw display