Properties

Label 30446k
Number of curves 1
Conductor 30446
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("30446.j1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 30446k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
30446.j1 30446k1 [1, 1, 1, -59, 9] [] 6912 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30446k1 has rank \(1\).

Modular form 30446.2.a.j

sage: E.q_eigenform(10)
 
\( q + q^{2} - q^{3} + q^{4} + 3q^{5} - q^{6} + q^{7} + q^{8} - 2q^{9} + 3q^{10} - 3q^{11} - q^{12} - q^{13} + q^{14} - 3q^{15} + q^{16} - 6q^{17} - 2q^{18} - 4q^{19} + O(q^{20}) \)