Properties

Label 141120nc
Number of curves $1$
Conductor $141120$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("nc1")
 
E.isogeny_class()
 

Elliptic curves in class 141120nc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
141120.o1 141120nc1 \([0, 0, 0, -588, 386512]\) \(-392/1125\) \(-64524128256000\) \([]\) \(405504\) \(1.3288\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 141120nc1 has rank \(0\).

Complex multiplication

The elliptic curves in class 141120nc do not have complex multiplication.

Modular form 141120.2.a.nc

sage: E.q_eigenform(10)
 
\(q - q^{5} - 5 q^{11} - q^{13} + 8 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display