Properties

Label 7623s
Number of curves 1
Conductor 7623
CM no
Rank 0

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Show commands for: SageMath
sage: E = EllipticCurve("7623.a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 7623s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
7623.a1 7623s1 [0, 0, 1, -762663, -255481790] [] 185856 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7623s1 has rank \(0\).

Modular form 7623.2.a.a

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