Properties

Label 182.a
Number of curves $1$
Conductor $182$
CM no
Rank $0$

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

Elliptic curves in class 182.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
182.a1 182c1 \([1, 0, 1, -4609, 120244]\) \(-10824513276632329/21926008832\) \(-21926008832\) \([]\) \(308\) \(0.87117\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 182.a1 has rank \(0\).

Complex multiplication

The elliptic curves in class 182.a do not have complex multiplication.

Modular form 182.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} + 4 q^{5} - q^{6} - q^{7} - q^{8} - 2 q^{9} - 4 q^{10} - q^{11} + q^{12} + q^{13} + q^{14} + 4 q^{15} + q^{16} + 4 q^{17} + 2 q^{18} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display