Properties

Label 7623.q
Number of curves 1
Conductor 7623
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("7623.q1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 7623.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
7623.q1 7623j1 [0, 0, 1, -6303, 191947] [] 16896 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7623.q1 has rank \(1\).

Modular form 7623.2.a.q

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