Properties

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

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 6048.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6048.p1 6048t1 \([0, 0, 0, -42552, 3374352]\) \(11743292928/16807\) \(12195060240384\) \([]\) \(11520\) \(1.4137\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6048.p1 has rank \(1\).

Complex multiplication

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

Modular form 6048.2.a.p

sage: E.q_eigenform(10)
 
\(q + q^{5} - q^{7} + 2 q^{11} + q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display