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Properties

Label 444675gj
Number of curves $1$
Conductor $444675$
CM no
Rank $1$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("gj1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 444675gj1 has rank \(1\).

Complex multiplication

The elliptic curves in class 444675gj do not have complex multiplication.

Modular form 444675.2.a.gj

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

Elliptic curves in class 444675gj

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
444675.gj1 444675gj1 \([1, 0, 1, -7131, -271757]\) \(-10241915/2187\) \(-8561603028825\) \([]\) \(762048\) \(1.2028\) \(\Gamma_0(N)\)-optimal