Properties

Label 503857.a
Number of curves $1$
Conductor $503857$
CM no
Rank $0$

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

Elliptic curves in class 503857.a

sage: E.isogeny_class().curves
 
LMFDB label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height
503857.a1 \([1, -1, 0, 4, -35]\) \(6128487/503857\) \(-503857\) \([]\) \(40512\) \(-0.22633\)

Rank

sage: E.rank()
 

The elliptic curve 503857.a1 has rank \(0\).

Complex multiplication

The elliptic curves in class 503857.a do not have complex multiplication.

Modular form 503857.2.a.a

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