Properties

Label 4953023.a
Number of curves $1$
Conductor $4953023$
CM no
Rank $4$

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

Elliptic curves in class 4953023.a

sage: E.isogeny_class().curves
 
LMFDB label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height
4953023.a1 \([1, -1, 1, -87, 350]\) \(-72043225281/4953023\) \(-4953023\) \([]\) \(1373056\) \(0.035743\)

Rank

sage: E.rank()
 

The elliptic curve 4953023.a1 has rank \(4\).

Complex multiplication

The elliptic curves in class 4953023.a do not have complex multiplication.

Modular form 4953023.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{4} - 4 q^{5} - q^{7} + 3 q^{8} - 3 q^{9} + 4 q^{10} - 4 q^{11} - q^{13} + q^{14} - q^{16} - 6 q^{17} + 3 q^{18} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display