Properties

Label 30487.b
Number of curves 1
Conductor 30487
CM no
Rank 3

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Show commands for: SageMath
sage: E = EllipticCurve("30487.b1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 30487.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
30487.b1 30487a1 [0, 0, 1, -28, -15] [] 8576 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30487.b1 has rank \(3\).

Modular form 30487.2.a.b

sage: E.q_eigenform(10)
 
\( q - 3q^{3} - 2q^{4} - q^{5} - 4q^{7} + 6q^{9} - q^{11} + 6q^{12} - 6q^{13} + 3q^{15} + 4q^{16} - 6q^{17} - 4q^{19} + O(q^{20}) \)