Properties

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

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Show commands: SageMath
E = EllipticCurve("dq1")
 
E.isogeny_class()
 

Elliptic curves in class 121968.dq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
121968.dq1 121968cp1 \([0, 0, 0, -4752, 90288]\) \(1216512/343\) \(3346036936704\) \([]\) \(138240\) \(1.1102\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 121968.dq1 has rank \(1\).

Complex multiplication

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

Modular form 121968.2.a.dq

sage: E.q_eigenform(10)
 
\(q + q^{5} - q^{7} - 4 q^{13} - q^{17} + O(q^{20})\) Copy content Toggle raw display