Properties

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

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Show commands: SageMath
E = EllipticCurve("fr1")
 
E.isogeny_class()
 

Elliptic curves in class 121968.fr

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
121968.fr1 121968gg1 \([0, 0, 0, 429, 18898]\) \(24167/441\) \(-159335092224\) \([]\) \(147456\) \(0.82997\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 121968.fr1 has rank \(1\).

Complex multiplication

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

Modular form 121968.2.a.fr

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