Properties

Label 7623.m
Number of curves 1
Conductor 7623
CM no
Rank 0

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Show commands for: SageMath
sage: E = EllipticCurve("7623.m1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 7623.m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
7623.m1 7623n1 [1, -1, 0, -28980, -1896251] [] 20736 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7623.m1 has rank \(0\).

Modular form 7623.2.a.m

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