Properties

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

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Show commands: SageMath
E = EllipticCurve("w1")
 
E.isogeny_class()
 

Elliptic curves in class 6048.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6048.w1 6048k1 \([0, 0, 0, -216, 432]\) \(13824/7\) \(564350976\) \([]\) \(2304\) \(0.37179\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6048.w1 has rank \(1\).

Complex multiplication

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

Modular form 6048.2.a.w

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