Properties

Label 234446.a
Number of curves 1
Conductor \(234446\)
CM no
Rank \(4\)
Graph

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Show commands for: SageMath
sage: E = EllipticCurve("234446.a1")
sage: E.isogeny_class()

Elliptic curves in class 234446.a

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients Torsion order Modular degree Optimality
234446.a1 234446a1 [1, -1, 0, -79, 289] 1 334976 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()

The elliptic curves in class 234446.a have rank \(4\).

Modular form 234446.2.1.a

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