Properties

Label 152.b
Number of curves $1$
Conductor $152$
CM no
Rank $0$

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

Elliptic curves in class 152.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
152.b1 152b1 \([0, 1, 0, -8, -16]\) \(-31250/19\) \(-38912\) \([]\) \(8\) \(-0.41718\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 152.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 152.b do not have complex multiplication.

Modular form 152.2.a.b

sage: E.q_eigenform(10)
 
\(q + q^{3} + 3 q^{7} - 2 q^{9} + 2 q^{11} + q^{13} - 5 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display