Properties

Label 159201b
Number of curves 11
Conductor 159201159201
CM no
Rank 00

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 159201b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
159201.b1 159201b1 [0,0,1,7057911,7431392124][0, 0, 1, -7057911, -7431392124] 28672-28672 1356107934513332117691-1356107934513332117691 [][] 1225728012257280 2.82782.8278 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 159201b1 has rank 00.

Complex multiplication

The elliptic curves in class 159201b do not have complex multiplication.

Modular form 159201.2.a.b

sage: E.q_eigenform(10)
 
q2q2+2q42q5+4q105q112q134q16+3q17+O(q20)q - 2 q^{2} + 2 q^{4} - 2 q^{5} + 4 q^{10} - 5 q^{11} - 2 q^{13} - 4 q^{16} + 3 q^{17} + O(q^{20}) Copy content Toggle raw display