Properties

Label 30446.i
Number of curves 1
Conductor 30446
CM no
Rank 2

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Show commands for: SageMath
sage: E = EllipticCurve("30446.i1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 30446.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
30446.i1 30446m1 [1, 0, 0, -39, -16055] [] 48000 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30446.i1 has rank \(2\).

Modular form 30446.2.a.i

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