Properties

Label 66240ga
Number of curves $1$
Conductor $66240$
CM no
Rank $1$

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

Elliptic curves in class 66240ga

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
66240.ft1 66240ga1 \([0, 0, 0, 274128, 242944864]\) \(190737654201344/2245153696875\) \(-26815972065638400000\) \([]\) \(1228800\) \(2.4089\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 66240ga1 has rank \(1\).

Complex multiplication

The elliptic curves in class 66240ga do not have complex multiplication.

Modular form 66240.2.a.ga

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