Properties

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

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Show commands: SageMath
E = EllipticCurve("bl1")
 
E.isogeny_class()
 

Elliptic curves in class 40560bl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
40560.o1 40560bl1 \([0, -1, 0, -13384856, 18852612336]\) \(-79370312059129/12960\) \(-43302380110479360\) \([]\) \(2096640\) \(2.5937\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 40560bl1 has rank \(0\).

Complex multiplication

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

Modular form 40560.2.a.bl

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + 5 q^{7} + q^{9} + 3 q^{11} + q^{15} - 8 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display