Properties

Label 40362y
Number of curves $1$
Conductor $40362$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 40362y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
40362.x1 40362y1 \([1, 1, 1, -221050, 39912209]\) \(-1345938541921/82026\) \(-72798376937706\) \([]\) \(322560\) \(1.7203\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 40362y1 has rank \(0\).

Complex multiplication

The elliptic curves in class 40362y do not have complex multiplication.

Modular form 40362.2.a.y

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