Properties

Label 62475.bk
Number of curves 1
Conductor 62475
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("62475.bk1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 62475.bk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
62475.bk1 62475p1 [0, -1, 1, -5830817883, -171398919325957] [] 48384000 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 62475.bk1 has rank \(1\).

Modular form 62475.2.a.bk

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