Properties

Label 151725.b
Number of curves $1$
Conductor $151725$
CM no
Rank $2$

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

Elliptic curves in class 151725.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
151725.b1 151725h1 \([0, -1, 1, -68878, 7213908]\) \(-11977551872/472311\) \(-1425054918994875\) \([]\) \(1437696\) \(1.6765\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 151725.b1 has rank \(2\).

Complex multiplication

The elliptic curves in class 151725.b do not have complex multiplication.

Modular form 151725.2.a.b

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} - q^{3} + 2 q^{4} + 2 q^{6} - q^{7} + q^{9} - 2 q^{12} - 5 q^{13} + 2 q^{14} - 4 q^{16} - 2 q^{18} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display