Properties

Label 185562bm
Number of curves 11
Conductor 185562185562
CM no
Rank 11

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Show commands: SageMath
E = EllipticCurve("bm1")
 
E.isogeny_class()
 

Elliptic curves in class 185562bm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
185562.h1 185562bm1 [1,1,0,1299,18693][1, -1, 0, -1299, -18693] 1860867/122-1860867/122 15899508846-15899508846 [][] 215040215040 0.710020.71002 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 185562bm1 has rank 11.

Complex multiplication

The elliptic curves in class 185562bm do not have complex multiplication.

Modular form 185562.2.a.bm

sage: E.q_eigenform(10)
 
qq2+q4+q54q7q8q106q11+4q14+q16+3q17+6q19+O(q20)q - q^{2} + q^{4} + q^{5} - 4 q^{7} - q^{8} - q^{10} - 6 q^{11} + 4 q^{14} + q^{16} + 3 q^{17} + 6 q^{19} + O(q^{20}) Copy content Toggle raw display