Properties

Label 141120r
Number of curves $1$
Conductor $141120$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 141120r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
141120.ko1 141120r1 \([0, 0, 0, -28812, 12638864]\) \(-196/5\) \(-67477325912801280\) \([]\) \(967680\) \(1.9098\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 141120r1 has rank \(1\).

Complex multiplication

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

Modular form 141120.2.a.r

sage: E.q_eigenform(10)
 
\(q + q^{5} - 2 q^{11} + 4 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display