Properties

Label 7623h
Number of curves 1
Conductor 7623
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("7623.e1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 7623h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
7623.e1 7623h1 [1, -1, 1, -3506603, 2534429868] [] 228096 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7623h1 has rank \(1\).

Modular form 7623.2.a.e

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