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Properties

Label 444048i
Number of curves $1$
Conductor $444048$
CM no
Rank $2$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("i1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 444048i1 has rank \(2\).

Complex multiplication

The elliptic curves in class 444048i do not have complex multiplication.

Modular form 444048.2.a.i

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

Elliptic curves in class 444048i

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
444048.i1 444048i1 \([0, -1, 0, -5384, 123120]\) \(5011452097/1054152\) \(3631275343872\) \([]\) \(691200\) \(1.1248\) \(\Gamma_0(N)\)-optimal