Properties

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

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 66654a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
66654.m1 66654a1 \([1, -1, 0, 177645, -77377483]\) \(212776173/1009792\) \(-2942322238815007104\) \([]\) \(1064448\) \(2.2261\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 66654a1 has rank \(0\).

Complex multiplication

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

Modular form 66654.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} - q^{7} - q^{8} + q^{10} - 2 q^{11} - 5 q^{13} + q^{14} + q^{16} + 2 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display