Properties

Label 502829.a
Number of curves $1$
Conductor $502829$
CM no
Rank $1$

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

Elliptic curves in class 502829.a

sage: E.isogeny_class().curves
 
LMFDB label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height
502829.a1 \([0, 0, 1, -32, -61]\) \(3623878656/502829\) \(502829\) \([]\) \(40036\) \(-0.17949\)

Rank

sage: E.rank()
 

The elliptic curve 502829.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 502829.a do not have complex multiplication.

Modular form 502829.2.a.a

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