Properties

Label 121242y
Number of curves $1$
Conductor $121242$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 121242y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
121242.bc1 121242y1 \([1, 1, 1, -24384, -1475451]\) \(905072904217/198396\) \(351470616156\) \([]\) \(276480\) \(1.2093\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 121242y1 has rank \(1\).

Complex multiplication

The elliptic curves in class 121242y do not have complex multiplication.

Modular form 121242.2.a.y

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