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Properties

Label 443344p
Number of curves $1$
Conductor $443344$
CM no
Rank $1$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("p1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 443344p1 has rank \(1\).

Complex multiplication

The elliptic curves in class 443344p do not have complex multiplication.

Modular form 443344.2.a.p

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

Elliptic curves in class 443344p

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
443344.p1 443344p1 \([0, 0, 0, -484, 1331]\) \(442368/229\) \(6490999504\) \([]\) \(712800\) \(0.57482\) \(\Gamma_0(N)\)-optimal