Properties

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

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Show commands: SageMath
E = EllipticCurve("cn1")
 
E.isogeny_class()
 

Elliptic curves in class 121968.cn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
121968.cn1 121968t1 \([0, 0, 0, -1188, -15444]\) \(304128/7\) \(4267904256\) \([]\) \(73728\) \(0.63413\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 121968.cn1 has rank \(1\).

Complex multiplication

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

Modular form 121968.2.a.cn

sage: E.q_eigenform(10)
 
\(q - q^{5} + q^{7} - 4 q^{13} - 3 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display