Properties

Label 6048.u
Number of curves $1$
Conductor $6048$
CM no
Rank $0$

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

Elliptic curves in class 6048.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6048.u1 6048o1 \([0, 0, 0, -4716, 124672]\) \(-104886933696/16807\) \(-1858719744\) \([]\) \(3840\) \(0.78842\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6048.u1 has rank \(0\).

Complex multiplication

The elliptic curves in class 6048.u do not have complex multiplication.

Modular form 6048.2.a.u

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