Properties

Label 121968.x
Number of curves $1$
Conductor $121968$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 121968.x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
121968.x1 121968em1 \([0, 0, 0, -18315891, -49528014030]\) \(-8773917273/8605184\) \(-666460614035727666118656\) \([]\) \(15966720\) \(3.2673\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 121968.x1 has rank \(0\).

Complex multiplication

The elliptic curves in class 121968.x do not have complex multiplication.

Modular form 121968.2.a.x

sage: E.q_eigenform(10)
 
\(q - 2 q^{5} - q^{7} - 5 q^{13} + 8 q^{17} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display