Properties

Label 424830.ga
Number of curves $1$
Conductor $424830$
CM no
Rank $0$

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

Elliptic curves in class 424830.ga

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
424830.ga1 424830ga1 \([1, 1, 1, -4460, -131713]\) \(-288568081/47250\) \(-1606526507250\) \([]\) \(933120\) \(1.0696\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 424830.ga1 has rank \(0\).

Complex multiplication

The elliptic curves in class 424830.ga do not have complex multiplication.

Modular form 424830.2.a.ga

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} + q^{5} - q^{6} + q^{8} + q^{9} + q^{10} + 2q^{11} - q^{12} - 4q^{13} - q^{15} + q^{16} + q^{18} - 6q^{19} + O(q^{20})\)  Toggle raw display