Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("30446.h1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 30446.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
30446.h1 30446i1 [1, 0, 0, -995, 13441] [] 34240 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30446.h1 has rank \(2\).

Modular form 30446.2.a.h

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