Properties

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

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 121242t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
121242.z1 121242t1 \([1, 1, 1, -10508913, -13116857841]\) \(-72450434397496515625/705408\) \(-1249673301888\) \([]\) \(3091200\) \(2.3538\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 121242t1 has rank \(1\).

Complex multiplication

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

Modular form 121242.2.a.t

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