Properties

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

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Show commands: SageMath
E = EllipticCurve("gj1")
 
E.isogeny_class()
 

Elliptic curves in class 141120.gj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
141120.gj1 141120mo1 \([0, 0, 0, 378672, 281281952]\) \(12459008/78125\) \(-37654757763840000000\) \([]\) \(3010560\) \(2.4381\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 141120.gj1 has rank \(1\).

Complex multiplication

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

Modular form 141120.2.a.gj

sage: E.q_eigenform(10)
 
\(q - q^{5} + 3 q^{11} + q^{13} - 5 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display