Properties

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

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Show commands: SageMath
E = EllipticCurve("ga1")
 
E.isogeny_class()
 

Elliptic curves in class 444675ga

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
444675.ga1 444675ga1 \([1, 1, 0, -3944525, -3024324750]\) \(-30515071121161/85766121\) \(-19076970354890765625\) \([]\) \(17418240\) \(2.5719\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 444675ga1 has rank \(1\).

Complex multiplication

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

Modular form 444675.2.a.ga

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