Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("30446.l1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 30446j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
30446.l1 30446j1 [1, 0, 0, -71366, -7344076] [] 96000 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30446j1 has rank \(1\).

Modular form 30446.2.a.l

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