Properties

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

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 43560.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
43560.u1 43560bi1 \([0, 0, 0, 1452, 56628]\) \(3345408/15625\) \(-1581228000000\) \([]\) \(69120\) \(1.0231\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 43560.u1 has rank \(1\).

Complex multiplication

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

Modular form 43560.2.a.u

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