Properties

Label 121968ft
Number of curves $1$
Conductor $121968$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ft1")
 
E.isogeny_class()
 

Elliptic curves in class 121968ft

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
121968.cw1 121968ft1 \([0, 0, 0, -100848, -12284624]\) \(313944395776/1240029\) \(448027517177856\) \([]\) \(675840\) \(1.6686\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 121968ft1 has rank \(1\).

Complex multiplication

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

Modular form 121968.2.a.ft

sage: E.q_eigenform(10)
 
\(q - q^{5} + q^{7} + 6 q^{13} - 7 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display