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Properties

Label 4225973.a
Number of curves $1$
Conductor $4225973$
CM no
Rank $4$

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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 4225973.a1 has rank \(4\).

Complex multiplication

The elliptic curves in class 4225973.a do not have complex multiplication.

Modular form 4225973.2.a.a

Copy content sage:E.q_eigenform(10)
 
\(q - 2 q^{2} - 2 q^{3} + 2 q^{4} + 4 q^{6} - 4 q^{7} + q^{9} - 5 q^{11} - 4 q^{12} - 2 q^{13} + 8 q^{14} - 4 q^{16} - 6 q^{17} - 2 q^{18} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 4225973.a

Copy content sage:E.isogeny_class().curves
 
LMFDB label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height
4225973.a1 \([0, 1, 1, -228, 1248]\) \(1316532736000/4225973\) \(4225973\) \([]\) \(2346800\) \(0.13767\)