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Properties

Label 422142g
Number of curves $1$
Conductor $422142$
CM no
Rank $0$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("g1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 422142g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 422142g do not have complex multiplication.

Modular form 422142.2.a.g

Copy content sage:E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} - q^{5} + q^{6} + q^{7} - q^{8} + q^{9} + q^{10} - q^{12} - 2 q^{13} - q^{14} + q^{15} + q^{16} + 5 q^{17} - q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 422142g

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
422142.g1 422142g1 \([1, 1, 0, -9258833, -10838335851]\) \(1120907693189209/1117863936\) \(87541026238256726016\) \([]\) \(22998528\) \(2.7461\) \(\Gamma_0(N)\)-optimal