Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("7623.d1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 7623.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
7623.d1 7623k1 [0, 0, 1, -1625151, 726460798] [] 354816 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7623.d1 has rank \(1\).

Modular form 7623.2.a.d

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