Properties

Label 4459157.a
Number of curves $1$
Conductor $4459157$
CM no
Rank $4$

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

Elliptic curves in class 4459157.a

sage: E.isogeny_class().curves
 
LMFDB label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height
4459157.a1 \([0, 0, 1, -65, 174]\) \(30371328000/4459157\) \(4459157\) \([]\) \(1435360\) \(0.00073675\)

Rank

sage: E.rank()
 

The elliptic curve 4459157.a1 has rank \(4\).

Complex multiplication

The elliptic curves in class 4459157.a do not have complex multiplication.

Modular form 4459157.2.a.a

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