Properties

Label 81144cb
Number of curves $1$
Conductor $81144$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cb1")
 
E.isogeny_class()
 

Elliptic curves in class 81144cb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
81144.p1 81144cb1 \([0, 0, 0, -1911, 33271]\) \(-562432/23\) \(-31561932528\) \([]\) \(69120\) \(0.78214\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 81144cb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 81144cb do not have complex multiplication.

Modular form 81144.2.a.cb

sage: E.q_eigenform(10)
 
\(q - 2 q^{5} + 2 q^{11} - 7 q^{13} - 4 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display