Properties

Label 1321589.a
Number of curves $1$
Conductor $1321589$
CM no
Rank $4$

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

Elliptic curves in class 1321589.a

sage: E.isogeny_class().curves
 
LMFDB label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height
1321589.a1 \([0, 1, 1, -59, 147]\) \(23100424192/1321589\) \(1321589\) \([]\) \(269728\) \(-0.071237\)

Rank

sage: E.rank()
 

The elliptic curve 1321589.a1 has rank \(4\).

Complex multiplication

The elliptic curves in class 1321589.a do not have complex multiplication.

Modular form 1321589.2.a.a

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} - 2 q^{4} - 2 q^{5} - 4 q^{7} + q^{9} - 4 q^{11} + 4 q^{12} - 5 q^{13} + 4 q^{15} + 4 q^{16} - 3 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display