Properties

Label 6048.r
Number of curves 1
Conductor 6048
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("6048.r1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 6048.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
6048.r1 6048h1 [0, 0, 0, -12, -128] [] 768 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6048.r1 has rank \(1\).

Modular form 6048.2.a.r

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