Properties

Label 7623.q
Number of curves $1$
Conductor $7623$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 7623.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7623.q1 7623j1 \([0, 0, 1, -6303, 191947]\) \(313944395776/1240029\) \(109381718061\) \([]\) \(16896\) \(0.97541\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7623.q1 has rank \(1\).

Complex multiplication

The elliptic curves in class 7623.q do not have complex multiplication.

Modular form 7623.2.a.q

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