Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("7623.p1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 7623a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
7623.p1 7623a1 [0, 0, 1, -3993, -69545] [] 12672 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7623a1 has rank \(0\).

Modular form 7623.2.a.p

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