Properties

Label 503621.a
Number of curves $1$
Conductor $503621$
CM no
Rank $1$

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

Elliptic curves in class 503621.a

sage: E.isogeny_class().curves
 
LMFDB label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height
503621.a1 \([1, -1, 0, 11, -34]\) \(139798359/503621\) \(-503621\) \([]\) \(96750\) \(-0.22295\)

Rank

sage: E.rank()
 

The elliptic curve 503621.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 503621.a do not have complex multiplication.

Modular form 503621.2.a.a

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