Properties

Label 30446.b
Number of curves 1
Conductor 30446
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("30446.b1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 30446.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
30446.b1 30446g1 [1, 0, 1, -59, 774] [] 16800 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30446.b1 has rank \(1\).

Modular form 30446.2.a.b

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