Properties

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

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 6048.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6048.a1 6048u1 \([0, 0, 0, -24, 16]\) \(13824/7\) \(774144\) \([]\) \(768\) \(-0.17752\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6048.a1 has rank \(1\).

Complex multiplication

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

Modular form 6048.2.a.a

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