Properties

Label 43560.cp
Number of curves $1$
Conductor $43560$
CM no
Rank $0$

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

Elliptic curves in class 43560.cp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
43560.cp1 43560bn1 \([0, 0, 0, 3993, -131769]\) \(76032/125\) \(-11575379574000\) \([]\) \(101376\) \(1.1917\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 43560.cp1 has rank \(0\).

Complex multiplication

The elliptic curves in class 43560.cp do not have complex multiplication.

Modular form 43560.2.a.cp

sage: E.q_eigenform(10)
 
\(q + q^{5} + 4 q^{7} + 6 q^{13} - 3 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display