Properties

Label 40560d
Number of curves $1$
Conductor $40560$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 40560d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
40560.c1 40560d1 \([0, -1, 0, -17801, -1395915]\) \(-504871936/394875\) \(-487932468192000\) \([]\) \(161280\) \(1.5171\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 40560d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 40560d do not have complex multiplication.

Modular form 40560.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 3 q^{7} + q^{9} - 3 q^{11} + q^{15} - q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display