Properties

Label 152.a
Number of curves 1
Conductor 152
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("152.a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 152.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
152.a1 152a1 [0, 1, 0, -1, 3] [] 8 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 152.a1 has rank \(1\).

Modular form 152.2.a.a

sage: E.q_eigenform(10)
 
\( q - 2q^{3} - q^{5} - 3q^{7} + q^{9} - 3q^{11} - 4q^{13} + 2q^{15} + 5q^{17} - q^{19} + O(q^{20}) \)