Properties

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

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 7623.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7623.j1 7623l1 \([0, 0, 1, 2178, 8984]\) \(884736/539\) \(-696101235291\) \([]\) \(6720\) \(0.96160\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7623.j1 has rank \(0\).

Complex multiplication

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

Modular form 7623.2.a.j

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