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Properties

Label 484564.a
Number of curves $1$
Conductor $484564$
CM no
Rank $0$

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

Rank

Copy content sage:E.rank()
 

The elliptic curve 484564.a1 has rank \(0\).

Complex multiplication

The elliptic curves in class 484564.a do not have complex multiplication.

Modular form 484564.2.a.a

Copy content sage:E.q_eigenform(10)
 
\(q - 3 q^{3} + 3 q^{5} + 4 q^{7} + 6 q^{9} + 3 q^{11} - 4 q^{13} - 9 q^{15} + 7 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 484564.a

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
484564.a1 484564a1 \([0, 0, 0, -2116, -12167]\) \(442368/229\) \(542403497296\) \([]\) \(1568160\) \(0.94362\) \(\Gamma_0(N)\)-optimal