Properties

Label 501317.a
Number of curves $1$
Conductor $501317$
CM no
Rank $0$

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

Elliptic curves in class 501317.a

sage: E.isogeny_class().curves
 
LMFDB label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height
501317.a1 \([0, 0, 1, -50, -132]\) \(13824000000/501317\) \(501317\) \([]\) \(34690\) \(-0.13641\)

Rank

sage: E.rank()
 

The elliptic curve 501317.a1 has rank \(0\).

Complex multiplication

The elliptic curves in class 501317.a do not have complex multiplication.

Modular form 501317.2.a.a

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