Properties

Label 135240.cp
Number of curves $1$
Conductor $135240$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cp1")
 
E.isogeny_class()
 

Elliptic curves in class 135240.cp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
135240.cp1 135240x1 \([0, 1, 0, -401, -5181]\) \(-569906176/547515\) \(-6868028160\) \([]\) \(77184\) \(0.58368\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 135240.cp1 has rank \(0\).

Complex multiplication

The elliptic curves in class 135240.cp do not have complex multiplication.

Modular form 135240.2.a.cp

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} + q^{9} + 2 q^{11} - 4 q^{13} - q^{15} + q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display