Properties

Label 7488.u
Number of curves $1$
Conductor $7488$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 7488.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7488.u1 7488ca1 \([0, 0, 0, -588, -5744]\) \(-235298/13\) \(-1242169344\) \([]\) \(3840\) \(0.50285\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7488.u1 has rank \(0\).

Complex multiplication

The elliptic curves in class 7488.u do not have complex multiplication.

Modular form 7488.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{5} - 5 q^{7} + 2 q^{11} + q^{13} + 3 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display