Properties

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

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 182.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
182.e1 182d1 \([1, -1, 1, 3, -5]\) \(4019679/8918\) \(-8918\) \([]\) \(36\) \(-0.55786\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 182.e1 has rank \(0\).

Complex multiplication

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

Modular form 182.2.a.e

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