Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("30446.e1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 30446c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
30446.e1 30446c1 [1, 0, 1, -39, 78] [] 4480 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30446c1 has rank \(1\).

Modular form 30446.2.a.e

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