Properties

Label 1525.b
Number of curves 1
Conductor 1525
CM no
Rank 1

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Show commands for: SageMath

sage: E = EllipticCurve("1525.b1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 1525.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
1525.b1 1525a1 [1, 1, 0, -50, 125] [] 216 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1525.b1 has rank \(1\).

Modular form 1525.2.a.b

sage: E.q_eigenform(10)
 
\( q + q^{2} + 2q^{3} - q^{4} + 2q^{6} - q^{7} - 3q^{8} + q^{9} - 5q^{11} - 2q^{12} - q^{13} - q^{14} - q^{16} - 4q^{17} + q^{18} - 4q^{19} + O(q^{20}) \)