Properties

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

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Show commands: SageMath
E = EllipticCurve("z1")
 
E.isogeny_class()
 

Elliptic curves in class 43560.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
43560.z1 43560o1 \([0, 0, 0, -43923, -1200562]\) \(29282/15\) \(4800541416929280\) \([]\) \(236544\) \(1.7012\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 43560.z1 has rank \(1\).

Complex multiplication

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

Modular form 43560.2.a.z

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