Properties

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

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Show commands: SageMath
E = EllipticCurve("by1")
 
E.isogeny_class()
 

Elliptic curves in class 141120.by

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
141120.by1 141120dk1 \([0, 0, 0, 882, 18522]\) \(13824/35\) \(-192116111040\) \([]\) \(129024\) \(0.84890\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 141120.by1 has rank \(0\).

Complex multiplication

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

Modular form 141120.2.a.by

sage: E.q_eigenform(10)
 
\(q - q^{5} - 3 q^{11} + q^{13} - q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display