Properties

Label 40560.a
Number of curves $1$
Conductor $40560$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 40560.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
40560.a1 40560bm1 \([0, -1, 0, -82021, -9298355]\) \(-18264064/675\) \(-2255332297420800\) \([]\) \(299520\) \(1.7169\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 40560.a1 has rank \(0\).

Complex multiplication

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

Modular form 40560.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 5 q^{7} + q^{9} - 2 q^{11} + q^{15} + 2 q^{17} + O(q^{20})\) Copy content Toggle raw display