Properties

Label 24048.j
Number of curves $1$
Conductor $24048$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 24048.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
24048.j1 24048e1 \([0, 0, 0, -3891, 143858]\) \(-2181825073/1731456\) \(-5170099912704\) \([]\) \(43008\) \(1.1380\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 24048.j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 24048.j do not have complex multiplication.

Modular form 24048.2.a.j

sage: E.q_eigenform(10)
 
\(q + 3 q^{5} + 3 q^{7} - 6 q^{13} + 2 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display