Properties

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

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 7623.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7623.b1 7623d1 \([0, 0, 1, -33, 52]\) \(1216512/343\) \(1120581\) \([]\) \(1152\) \(-0.13230\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7623.b1 has rank \(1\).

Complex multiplication

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

Modular form 7623.2.a.b

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