Properties

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

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Show commands: SageMath
E = EllipticCurve("gi1")
 
E.isogeny_class()
 

Elliptic curves in class 141120.gi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
141120.gi1 141120mn1 \([0, 0, 0, -131628, 18381328]\) \(-215474070728/3645\) \(-4266493378560\) \([]\) \(405504\) \(1.5535\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 141120.gi1 has rank \(1\).

Complex multiplication

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

Modular form 141120.2.a.gi

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