Properties

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

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Show commands: SageMath
E = EllipticCurve("ld1")
 
E.isogeny_class()
 

Elliptic curves in class 141120.ld

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
141120.ld1 141120kr1 \([0, 0, 0, -1016652, 399180656]\) \(-105484561/1440\) \(-1586405703092797440\) \([]\) \(2580480\) \(2.2992\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 141120.ld1 has rank \(1\).

Complex multiplication

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

Modular form 141120.2.a.ld

sage: E.q_eigenform(10)
 
\(q + q^{5} - q^{11} - 7 q^{13} + 4 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display