Properties

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

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

Elliptic curves in class 6048r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6048.d1 6048r1 \([0, 0, 0, -24, -16]\) \(13824/7\) \(774144\) \([]\) \(768\) \(-0.17752\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Complex multiplication

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

Modular form 6048.2.a.r

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} + q^{7} + 2 q^{11} - 4 q^{13} + 5 q^{17} + O(q^{20})\) Copy content Toggle raw display