Properties

Label 4092701.a
Number of curves $1$
Conductor $4092701$
CM no
Rank $4$

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

Elliptic curves in class 4092701.a

sage: E.isogeny_class().curves
 
LMFDB label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height
4092701.a1 \([1, 1, 1, -542, 4632]\) \(-17610498546913/4092701\) \(-4092701\) \([]\) \(1808448\) \(0.25959\)

Rank

sage: E.rank()
 

The elliptic curve 4092701.a1 has rank \(4\).

Complex multiplication

The elliptic curves in class 4092701.a do not have complex multiplication.

Modular form 4092701.2.a.a

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