Properties

Label 30345z
Number of curves 1
Conductor 30345
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("30345.b1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 30345z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
30345.b1 30345z1 [0, 1, 1, -266, 1580] [] 12672 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30345z1 has rank \(1\).

Modular form 30345.2.a.b

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